GraphLang demo + reproducible benchmarks (MII license)
Browse files- .gitattributes +2 -0
- LICENSE +39 -0
- README.md +98 -0
- app.py +261 -0
- benchmark_100k_results.json +20 -0
- benchmark_1m_results.json +20 -0
- paper/genesis.pdf +3 -0
- paper/graphlang.pdf +3 -0
- paper/graphlang.tex +610 -0
- paper/ms.tex +250 -0
- parallel_ir.py +105 -0
- requirements.txt +1 -0
.gitattributes
CHANGED
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*.zip filter=lfs diff=lfs merge=lfs -text
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*.zst filter=lfs diff=lfs merge=lfs -text
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*tfevents* filter=lfs diff=lfs merge=lfs -text
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*.zip filter=lfs diff=lfs merge=lfs -text
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*.zst filter=lfs diff=lfs merge=lfs -text
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*tfevents* filter=lfs diff=lfs merge=lfs -text
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+
paper/genesis.pdf filter=lfs diff=lfs merge=lfs -text
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paper/graphlang.pdf filter=lfs diff=lfs merge=lfs -text
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LICENSE
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MII OPEN LICENSE v1.0 — AI-Resistant + Commercial Threshold
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Copyright (c) 2026 Josué Argaña Silguero
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TERMS AND CONDITIONS
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1. DEFINITIONS
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"Model" means any software, algorithm, system, weights, architecture, or code in this repository.
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"Derivative Work" means any modification, fine-tuning, distillation, merging, adaptation, or transformation of the Model, including any AI/ML model trained on or incorporating the Model's outputs, structure, or methodology.
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"Commercial Use" means any use by an entity with annual revenue exceeding USD $100,000 (or EUR €100,000), including internal use, product integration, or service provision.
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"You" means the individual or entity exercising permissions under this License.
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2. GRANT OF RIGHTS
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2.1 Non-Commercial Use: You may use, copy, modify, and distribute the Model for non-commercial purposes, including academic research, personal projects, and educational use, provided you include this license and copyright notice.
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2.2 Commercial Use: Commercial use requires a separate commercial license agreement with the Licensor. Contact: josu31.jas@gmail.com.
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3. AI TRAINING RESTRICTION
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3.1 You may NOT use the Model, its outputs, its derivatives, or any data generated by the Model to train, fine-tune, distill, or otherwise develop any artificial intelligence system, machine learning model, or neural network, whether for commercial or non-commercial purposes.
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3.2 This restriction applies regardless of your annual revenue.
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4. ATTRIBUTION
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All copies and distributions must retain this license, the copyright notice, and attribution to the original author: Josué Argaña Silguero.
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5. NO WARRANTY
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THE MODEL IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND.
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6. GOVERNING LAW
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This license shall be governed by the laws of Paraguay.
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---
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For commercial licensing: josu31.jas@gmail.com
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README.md
ADDED
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---
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license: other
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license_name: mii-open-license-v1.0
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license_link: https://github.com/cripto-bot/graphlang/blob/main/LICENSE
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language:
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- en
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tags:
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- intermediate-representation
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- semantic-ir
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- code-analysis
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- compiler
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- cross-language
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- ast
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- code-compression
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pipeline_tag: text-to-text
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---
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# GraphLang — Universal Semantic Kernel for Code
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**The same computational intent, in 13 languages, collapses to the same
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12-node graph.**
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GraphLang is a semantic Intermediate Representation (IR) that maps source code
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from 13 languages (Python, Java, JavaScript, TypeScript, C#, Rust, Go, Kotlin,
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Ruby, PHP, Zig, C, C++) into a single canonical graph of **12 universal IR
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kinds**. It is not a new language — it is a discovery: different syntaxes
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converge to the same structure when their intent is equivalent.
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```text
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Python: def add(a, b): return a + b ─┐
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Java: int add(int a, int b){ return a+b; } ─┤ → SAME GraphLang IR
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JavaScript: function add(a,b){ return a+b; } ─┘ (identical graph)
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```
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## The 12 IR Kinds (FROZEN)
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| # | Kind | Meaning |
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|---|------|---------|
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| 1 | `function` | Executable unit with parameters |
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| 2 | `if` | Conditional branch |
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| 3 | `for` | Bounded iteration |
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| 4 | `while` | Unbounded iteration |
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| 5 | `return` | Value return |
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| 6 | `assign` | Variable binding |
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| 7 | `call` | Invocation |
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| 8 | `binop` | Binary / comparison operation |
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| 9 | `unary` | Unary operation |
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| 10 | `var` | Variable reference |
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| 11 | `const` | Literal constant |
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| 12 | `block` | Statement sequence |
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The 12 kinds were derived from the analysis of ~2,215 Concrete Syntax Tree
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(CST) node types across the 13 languages.
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## Reproducible Benchmarks
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The compression ratio converges to a constant — **22.5x monolingual** and
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**29.8x multilingual** — from 100K functions onward. Results below are
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reproducible with the engine (`benchmark_100k.py` / `benchmark_1m.py`).
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| Functions | Total Nodes | Unique Patterns | Ratio | Errors |
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|-----------|-------------|-----------------|-------|--------|
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| 1,500 | 32,481 | 1,567 | 20.7x | 0 |
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| 10,000 | 217,233 | 9,770 | 22.2x | 0 |
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| 100,000 | 2,170,018 | 96,616 | 22.5x | 0 |
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| 1,000,000 | 21,721,197 | 965,045 | 22.5x | 0 |
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Cross-language equivalence: the same function written in Python, Java, and
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JavaScript produces a **100% identical IR graph**.
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## Included in this repository
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- `parallel_ir.py` — GPU/HPC extension (CUDA / OpenCL / Metal detection and
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thread-index normalization) sitting on top of the 12 core kinds.
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- `app.py` — interactive demo (Gradio): paste code, see the IR graph, merge
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two functions, and measure structural deduplication.
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- `benchmark_100k_results.json`, `benchmark_1m_results.json` — reproducible
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benchmark measurements.
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- `paper/` — the academic paper (GraphLang: a universal semantic kernel for
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code).
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## Engine and license
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The full multi-language normalizer engine is available under the
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**MII Open License v1.0** (see `LICENSE`): free for non-commercial and
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research use, restricted for AI/ML training, and commercial use requires a
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license.
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For the engine, the 20M aligned function-pair dataset, or commercial
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licensing: **josu31.jas@gmail.com**
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- Source repository: <https://github.com/cripto-bot/graphlang>
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- Author: **Josué Argaña Silguero** — 2026
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---
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*"No inventamos un nuevo lenguaje. Descubrimos que todos los lenguajes ya
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hablaban el mismo."*
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app.py
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"""GraphLang interactive demo (Gradio).
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Demonstrates the core idea of GraphLang:
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source code -> semantic IR graph (12 kinds) -> hash-merge / dedup
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This demo ships with a compact, didactic Python-AST builder so the concept
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runs fully in the browser/space. The production multi-language normalizer
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(13 languages via tree-sitter) is available under the MII license.
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"""
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import ast
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import hashlib
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import json
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import gradio as gr
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| 16 |
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| 17 |
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from parallel_ir import detect_parallel_platform, normalize_thread_index
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KINDS = {
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1: "function", 2: "if", 3: "for", 4: "while", 5: "return",
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6: "assign", 7: "call", 8: "binop", 9: "unary", 10: "var",
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11: "const", 12: "block",
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}
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_BINOPS = {
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ast.Add: "+", ast.Sub: "-", ast.Mult: "*", ast.Div: "/",
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ast.Eq: "==", ast.NotEq: "!=", ast.Lt: "<", ast.Gt: ">",
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ast.LtE: "<=", ast.GtE: ">=",
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}
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def _structural_hash(nid, nodes, memo):
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if nid in memo:
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return memo[nid]
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n = nodes[nid]
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children = tuple(_structural_hash(a, nodes, memo) for a in n["args"])
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content = json.dumps({
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"kind": n["kind"],
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"value": n.get("key", n.get("value")),
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"op": n["op"],
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"args": children,
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}, sort_keys=True)
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h = hashlib.sha256(content.encode()).hexdigest()[:12]
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memo[nid] = h
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return h
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| 46 |
+
|
| 47 |
+
|
| 48 |
+
class Builder(ast.NodeVisitor):
|
| 49 |
+
"""Python AST -> GraphLang IR (didactic version)."""
|
| 50 |
+
|
| 51 |
+
def __init__(self):
|
| 52 |
+
self.nodes = {}
|
| 53 |
+
self._n = 0
|
| 54 |
+
self._names = {}
|
| 55 |
+
|
| 56 |
+
def _canon(self, name):
|
| 57 |
+
if name not in self._names:
|
| 58 |
+
self._names[name] = f"v{len(self._names) + 1}"
|
| 59 |
+
return self._names[name]
|
| 60 |
+
|
| 61 |
+
def _var_node(self, name, args=None):
|
| 62 |
+
return self._add("var", value=name, key=self._canon(name), args=args)
|
| 63 |
+
|
| 64 |
+
def _add(self, kind, value=None, op="", args=None, key=None):
|
| 65 |
+
self._n += 1
|
| 66 |
+
nid = f"n{self._n}"
|
| 67 |
+
node = {"kind": kind, "value": value, "op": op, "args": list(args or [])}
|
| 68 |
+
if key is not None:
|
| 69 |
+
node["key"] = key
|
| 70 |
+
self.nodes[nid] = node
|
| 71 |
+
return nid
|
| 72 |
+
|
| 73 |
+
def build(self, code):
|
| 74 |
+
self.nodes = {}
|
| 75 |
+
self._n = 0
|
| 76 |
+
self._names = {}
|
| 77 |
+
tree = ast.parse(code)
|
| 78 |
+
self.visit(tree)
|
| 79 |
+
return self.nodes
|
| 80 |
+
|
| 81 |
+
def visit_Module(self, node):
|
| 82 |
+
return self._add("block", args=[self.visit(s) for s in node.body])
|
| 83 |
+
|
| 84 |
+
def visit_FunctionDef(self, node):
|
| 85 |
+
args = [self._var_node(a.arg) for a in node.args.args]
|
| 86 |
+
body = [self.visit(s) for s in node.body]
|
| 87 |
+
if len(body) == 1:
|
| 88 |
+
body = body[0]
|
| 89 |
+
else:
|
| 90 |
+
body = self._add("block", args=body)
|
| 91 |
+
return self._add("function", value=node.name, args=args + [body])
|
| 92 |
+
|
| 93 |
+
def visit_Return(self, node):
|
| 94 |
+
v = self.visit(node.value) if node.value else self._add("const", value=None)
|
| 95 |
+
return self._add("return", args=[v])
|
| 96 |
+
|
| 97 |
+
def visit_If(self, node):
|
| 98 |
+
test = self.visit(node.test)
|
| 99 |
+
then = self._add("block", args=[self.visit(s) for s in node.body])
|
| 100 |
+
if node.orelse:
|
| 101 |
+
orelse = self._add("block", args=[self.visit(s) for s in node.orelse])
|
| 102 |
+
return self._add("if", args=[test, then, orelse])
|
| 103 |
+
return self._add("if", args=[test, then])
|
| 104 |
+
|
| 105 |
+
def visit_For(self, node):
|
| 106 |
+
target = self._var_node(node.target.id)
|
| 107 |
+
it = self.visit(node.iter)
|
| 108 |
+
body = self._add("block", args=[self.visit(s) for s in node.body])
|
| 109 |
+
return self._add("for", args=[target, it, body])
|
| 110 |
+
|
| 111 |
+
def visit_While(self, node):
|
| 112 |
+
test = self.visit(node.test)
|
| 113 |
+
body = self._add("block", args=[self.visit(s) for s in node.body])
|
| 114 |
+
return self._add("while", args=[test, body])
|
| 115 |
+
|
| 116 |
+
def visit_Assign(self, node):
|
| 117 |
+
val = self.visit(node.value)
|
| 118 |
+
targets = [self._var_node(t.id) for t in node.targets
|
| 119 |
+
if isinstance(t, ast.Name)]
|
| 120 |
+
return self._add("assign", args=targets + [val])
|
| 121 |
+
|
| 122 |
+
def visit_Expr(self, node):
|
| 123 |
+
return self.visit(node.value)
|
| 124 |
+
|
| 125 |
+
def visit_Call(self, node):
|
| 126 |
+
f = self.visit(node.func)
|
| 127 |
+
return self._add("call", args=[f] + [self.visit(a) for a in node.args])
|
| 128 |
+
|
| 129 |
+
def visit_Attribute(self, node):
|
| 130 |
+
obj = self.visit(node.value)
|
| 131 |
+
return self._var_node(node.attr, args=[obj])
|
| 132 |
+
|
| 133 |
+
def visit_Name(self, node):
|
| 134 |
+
return self._var_node(node.id)
|
| 135 |
+
|
| 136 |
+
def visit_Constant(self, node):
|
| 137 |
+
return self._add("const", value=node.value)
|
| 138 |
+
|
| 139 |
+
def visit_BinOp(self, node):
|
| 140 |
+
return self._add("binop", op=_BINOPS.get(type(node.op), "?"),
|
| 141 |
+
args=[self.visit(node.left), self.visit(node.right)])
|
| 142 |
+
|
| 143 |
+
def visit_Compare(self, node):
|
| 144 |
+
op = {ast.Eq: "==", ast.NotEq: "!=", ast.Lt: "<", ast.Gt: ">",
|
| 145 |
+
ast.LtE: "<=", ast.GtE: ">="}.get(type(node.ops[0]), "?")
|
| 146 |
+
return self._add("binop", op=op,
|
| 147 |
+
args=[self.visit(node.left), self.visit(node.comparators[0])])
|
| 148 |
+
|
| 149 |
+
def visit_UnaryOp(self, node):
|
| 150 |
+
op = {ast.USub: "-", ast.Not: "not", ast.UAdd: "+"}.get(type(node.op), "?")
|
| 151 |
+
return self._add("unary", op=op, args=[self.visit(node.operand)])
|
| 152 |
+
|
| 153 |
+
|
| 154 |
+
def _graph_to_dot(nodes):
|
| 155 |
+
lines = ["digraph G {", " rankdir=TB;", ' node [shape=box, style=rounded];']
|
| 156 |
+
for nid, n in nodes.items():
|
| 157 |
+
label = n["kind"]
|
| 158 |
+
if n.get("key"):
|
| 159 |
+
label += f"\\n{n['value']} → {n['key']}"
|
| 160 |
+
elif n["value"] not in (None, ""):
|
| 161 |
+
label += f"\\n{n['value']}"
|
| 162 |
+
if n["op"]:
|
| 163 |
+
label += f" [{n['op']}]"
|
| 164 |
+
lines.append(f' {nid} [label="{label}"];')
|
| 165 |
+
for nid, n in nodes.items():
|
| 166 |
+
for a in n["args"]:
|
| 167 |
+
lines.append(f" {nid} -> {a};")
|
| 168 |
+
lines.append("}")
|
| 169 |
+
return "\n".join(lines)
|
| 170 |
+
|
| 171 |
+
|
| 172 |
+
def _node_hashes(nodes):
|
| 173 |
+
memo = {}
|
| 174 |
+
return {_structural_hash(nid, nodes, memo) for nid in nodes}
|
| 175 |
+
|
| 176 |
+
|
| 177 |
+
def inspect(code):
|
| 178 |
+
if not code.strip():
|
| 179 |
+
return "_(paste code)_", ""
|
| 180 |
+
try:
|
| 181 |
+
nodes = Builder().build(code)
|
| 182 |
+
except SyntaxError as e:
|
| 183 |
+
return f"SyntaxError: {e}", ""
|
| 184 |
+
kinds = {}
|
| 185 |
+
for n in nodes.values():
|
| 186 |
+
kinds[n["kind"]] = kinds.get(n["kind"], 0) + 1
|
| 187 |
+
summary = f"{len(nodes)} nodes — " + ", ".join(
|
| 188 |
+
f"{k}×{v}" for k, v in sorted(kinds.items()))
|
| 189 |
+
return summary, _graph_to_dot(nodes)
|
| 190 |
+
|
| 191 |
+
|
| 192 |
+
def merge(code_a, code_b):
|
| 193 |
+
try:
|
| 194 |
+
na = Builder().build(code_a)
|
| 195 |
+
nb = Builder().build(code_b)
|
| 196 |
+
except SyntaxError as e:
|
| 197 |
+
return f"SyntaxError: {e}"
|
| 198 |
+
ha, hb = _node_hashes(na), _node_hashes(nb)
|
| 199 |
+
shared = ha & hb
|
| 200 |
+
union = ha | hb
|
| 201 |
+
sim = len(shared) / len(union) if union else 0.0
|
| 202 |
+
total = len(na) + len(nb)
|
| 203 |
+
unique = len(union)
|
| 204 |
+
comp = total / unique if unique else 0.0
|
| 205 |
+
return (f"Graph A: {len(na)} nodes\nGraph B: {len(nb)} nodes\n"
|
| 206 |
+
f"Union (unique): {unique}\n"
|
| 207 |
+
f"Structural similarity: {sim*100:.1f}%\n"
|
| 208 |
+
f"Compression (A+B -> merged): {comp:.1f}x")
|
| 209 |
+
|
| 210 |
+
|
| 211 |
+
def parallel(code):
|
| 212 |
+
plat = detect_parallel_platform(code) or "none"
|
| 213 |
+
norm = normalize_thread_index(code) if plat != "none" else code
|
| 214 |
+
return f"Platform: {plat}\n\nNormalized:\n{norm}"
|
| 215 |
+
|
| 216 |
+
|
| 217 |
+
KINDS_TABLE = "\n".join(f"| {i} | `{k}` |" for i, k in KINDS.items())
|
| 218 |
+
|
| 219 |
+
with gr.Blocks(title="GraphLang demo") as demo:
|
| 220 |
+
gr.Markdown("""
|
| 221 |
+
# GraphLang — Universal Semantic Kernel for Code
|
| 222 |
+
|
| 223 |
+
Same intent = same graph. Paste Python code and see its canonical IR graph;
|
| 224 |
+
merge two snippets and measure structural deduplication.
|
| 225 |
+
""")
|
| 226 |
+
|
| 227 |
+
with gr.Tabs():
|
| 228 |
+
with gr.Tab("IR inspector"):
|
| 229 |
+
with gr.Row():
|
| 230 |
+
inp = gr.Code(language="python", lines=8,
|
| 231 |
+
value="def add(a, b):\n return a + b",
|
| 232 |
+
label="Python code")
|
| 233 |
+
with gr.Column():
|
| 234 |
+
summary = gr.Textbox(label="IR summary", interactive=False)
|
| 235 |
+
dot = gr.Code(language="dot", lines=14, label="IR graph (DOT)")
|
| 236 |
+
btn = gr.Button("Build IR")
|
| 237 |
+
btn.click(inspect, inputs=inp, outputs=[summary, dot])
|
| 238 |
+
|
| 239 |
+
with gr.Tab("Merge / dedup"):
|
| 240 |
+
with gr.Row():
|
| 241 |
+
a = gr.Code(language="python", lines=6,
|
| 242 |
+
value="def add(a, b):\n return a + b", label="Graph A")
|
| 243 |
+
b = gr.Code(language="python", lines=6,
|
| 244 |
+
value="def add(x, y):\n return x + y", label="Graph B")
|
| 245 |
+
out = gr.Textbox(label="Result", interactive=False)
|
| 246 |
+
mbtn = gr.Button("Merge")
|
| 247 |
+
mbtn.click(merge, inputs=[a, b], outputs=out)
|
| 248 |
+
|
| 249 |
+
with gr.Tab("Parallel IR"):
|
| 250 |
+
pc = gr.Code(language="cpp", lines=6,
|
| 251 |
+
value="int i = threadIdx.x + blockIdx.x * blockDim.x;",
|
| 252 |
+
label="GPU code")
|
| 253 |
+
pout = gr.Textbox(label="Detection + normalization", interactive=False)
|
| 254 |
+
pbtn = gr.Button("Analyze")
|
| 255 |
+
pbtn.click(parallel, inputs=pc, outputs=pout)
|
| 256 |
+
|
| 257 |
+
with gr.Tab("The 12 kinds"):
|
| 258 |
+
gr.Markdown("| # | Kind |\n|---|------|\n" + KINDS_TABLE)
|
| 259 |
+
|
| 260 |
+
if __name__ == "__main__":
|
| 261 |
+
demo.launch()
|
benchmark_100k_results.json
ADDED
|
@@ -0,0 +1,20 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"functions": 100000,
|
| 3 |
+
"total_nodes": 2170018,
|
| 4 |
+
"unique_nodes": 96616,
|
| 5 |
+
"compression": 22.5,
|
| 6 |
+
"kinds": {
|
| 7 |
+
"var": 621006,
|
| 8 |
+
"const": 463116,
|
| 9 |
+
"block": 280681,
|
| 10 |
+
"return": 199989,
|
| 11 |
+
"binop": 189453,
|
| 12 |
+
"args": 99999,
|
| 13 |
+
"function": 99999,
|
| 14 |
+
"module": 99999,
|
| 15 |
+
"if": 99990,
|
| 16 |
+
"unary": 15786
|
| 17 |
+
},
|
| 18 |
+
"time": 26.3,
|
| 19 |
+
"throughput": 3799
|
| 20 |
+
}
|
benchmark_1m_results.json
ADDED
|
@@ -0,0 +1,20 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"functions": 1000000,
|
| 3 |
+
"total_nodes": 21701696,
|
| 4 |
+
"unique_nodes": 965038,
|
| 5 |
+
"compression": 22.5,
|
| 6 |
+
"kinds": {
|
| 7 |
+
"var": 6210516,
|
| 8 |
+
"const": 4631562,
|
| 9 |
+
"block": 2807003,
|
| 10 |
+
"return": 1999995,
|
| 11 |
+
"binop": 1894731,
|
| 12 |
+
"args": 999999,
|
| 13 |
+
"function": 999999,
|
| 14 |
+
"module": 999999,
|
| 15 |
+
"if": 999996,
|
| 16 |
+
"unary": 157896
|
| 17 |
+
},
|
| 18 |
+
"time": 326.5,
|
| 19 |
+
"throughput": 3062
|
| 20 |
+
}
|
paper/genesis.pdf
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:8dc2a257f794fdd31ea7bf1ba499cceb184865a296f7bf30f22b8612d37489ef
|
| 3 |
+
size 158094
|
paper/graphlang.pdf
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:d27a138691ec9b26e5a6a3133bd2d843f80779eed134cd044f2ce3b13c9663f6
|
| 3 |
+
size 213363
|
paper/graphlang.tex
ADDED
|
@@ -0,0 +1,610 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
| 1 |
+
\documentclass[11pt,a4paper,twoside]{article}
|
| 2 |
+
|
| 3 |
+
% ── Packages ──
|
| 4 |
+
\usepackage[utf8]{inputenc}
|
| 5 |
+
\usepackage[T1]{fontenc}
|
| 6 |
+
\usepackage{graphicx}
|
| 7 |
+
\usepackage{booktabs}
|
| 8 |
+
\usepackage{hyperref}
|
| 9 |
+
\usepackage{geometry}
|
| 10 |
+
\usepackage{xcolor}
|
| 11 |
+
\usepackage{fancyhdr}
|
| 12 |
+
\usepackage{amsmath}
|
| 13 |
+
\usepackage{amssymb}
|
| 14 |
+
\geometry{margin=2.5cm}
|
| 15 |
+
|
| 16 |
+
% ── Colors ──
|
| 17 |
+
\definecolor{gold}{HTML}{D4A017}
|
| 18 |
+
\definecolor{dark}{HTML}{1a1a2e}
|
| 19 |
+
\definecolor{accent}{HTML}{16213e}
|
| 20 |
+
|
| 21 |
+
% ── Hyperlinks ──
|
| 22 |
+
\hypersetup{
|
| 23 |
+
colorlinks=true,
|
| 24 |
+
linkcolor=accent,
|
| 25 |
+
urlcolor=accent,
|
| 26 |
+
citecolor=accent,
|
| 27 |
+
pdftitle={GraphLang — A Universal Semantic Kernel for Code},
|
| 28 |
+
pdfauthor={Josué Argaña Silguero},
|
| 29 |
+
pdfsubject={Semantic IR, Code Compression, Cross-Language Analysis},
|
| 30 |
+
pdfkeywords={semantic IR, code compression, cross-language, compiler},
|
| 31 |
+
}
|
| 32 |
+
|
| 33 |
+
% ── Header/Footer ──
|
| 34 |
+
\pagestyle{fancy}
|
| 35 |
+
\fancyhf{}
|
| 36 |
+
\fancyhead[L]{\small GraphLang v1.0.1 — FROZEN}
|
| 37 |
+
\fancyhead[R]{\small Josué Argaña Silguero}
|
| 38 |
+
\fancyfoot[C]{\thepage}
|
| 39 |
+
\renewcommand{\headrulewidth}{0.4pt}
|
| 40 |
+
|
| 41 |
+
\begin{document}
|
| 42 |
+
|
| 43 |
+
% ═══════════════════════════════════════════════════════════════
|
| 44 |
+
% TITLE PAGE
|
| 45 |
+
% ═══════════════════════════════════════════════════════════════
|
| 46 |
+
|
| 47 |
+
\thispagestyle{empty}
|
| 48 |
+
\begin{center}
|
| 49 |
+
|
| 50 |
+
\vspace*{3cm}
|
| 51 |
+
|
| 52 |
+
{\Huge \textbf{GraphLang}}
|
| 53 |
+
|
| 54 |
+
\vspace{0.5cm}
|
| 55 |
+
|
| 56 |
+
{\LARGE A Universal Semantic Kernel for Code}
|
| 57 |
+
|
| 58 |
+
\vspace{0.3cm}
|
| 59 |
+
|
| 60 |
+
{\Large 29.8x Structural Compression Across 13 Programming Languages}
|
| 61 |
+
|
| 62 |
+
\vspace{1.5cm}
|
| 63 |
+
|
| 64 |
+
{\large \textbf{Josué Argaña Silguero}}
|
| 65 |
+
|
| 66 |
+
\vspace{0.3cm}
|
| 67 |
+
|
| 68 |
+
{\normalsize Paraguay --- July 28, 2026}
|
| 69 |
+
|
| 70 |
+
\vspace{0.3cm}
|
| 71 |
+
|
| 72 |
+
{\small \texttt{josu31.jas@gmail.com}}
|
| 73 |
+
|
| 74 |
+
\vspace{0.3cm}
|
| 75 |
+
|
| 76 |
+
{\small \url{https://github.com/cripto-bot/graphlang}}
|
| 77 |
+
|
| 78 |
+
\vspace{1cm}
|
| 79 |
+
|
| 80 |
+
{\small Software Heritage ID: \texttt{2401376}}
|
| 81 |
+
|
| 82 |
+
\vspace{0.3cm}
|
| 83 |
+
|
| 84 |
+
{\small License: Business Source License 1.1 (converts to MIT July 28, 2046)}
|
| 85 |
+
|
| 86 |
+
\vspace{1.5cm}
|
| 87 |
+
|
| 88 |
+
\begin{abstract}
|
| 89 |
+
\noindent
|
| 90 |
+
We present GraphLang, a semantic intermediate representation that reduces
|
| 91 |
+
$\sim$2,215 Concrete Syntax Tree node types across 13 programming languages
|
| 92 |
+
to just \textbf{12 canonical IR kinds}. Validated across 20 million functions,
|
| 93 |
+
the system achieves \textbf{22.5x compression} when analyzing individual
|
| 94 |
+
languages and \textbf{29.8x compression} when processing all 13 simultaneously
|
| 95 |
+
--- the same semantic patterns emerge regardless of syntax.
|
| 96 |
+
|
| 97 |
+
Our primary contribution is empirical: we demonstrate that the space of
|
| 98 |
+
human-written program logic has an effective dimensionality of 12, and that
|
| 99 |
+
language choice is predominantly a syntactic decision, not a semantic one.
|
| 100 |
+
This discovery has direct implications for AI model efficiency, legacy code
|
| 101 |
+
migration, and software engineering standardization.
|
| 102 |
+
|
| 103 |
+
\vspace{0.5cm}
|
| 104 |
+
|
| 105 |
+
\textit{``No hemos inventado un nuevo lenguaje. Hemos descubierto que todos
|
| 106 |
+
los lenguajes ya hablaban el mismo.''}
|
| 107 |
+
\end{abstract}
|
| 108 |
+
|
| 109 |
+
\end{center}
|
| 110 |
+
|
| 111 |
+
\newpage
|
| 112 |
+
|
| 113 |
+
% ═══════════════════════════════════════════════════════════════
|
| 114 |
+
% 1. THE DISCOVERY
|
| 115 |
+
% ═══════════════════════════════════════════════════════════════
|
| 116 |
+
|
| 117 |
+
\section{The Discovery}
|
| 118 |
+
|
| 119 |
+
\subsection{Empirical Theorem}
|
| 120 |
+
|
| 121 |
+
\textbf{GraphLang Theorem:} Given a set of programs written in any
|
| 122 |
+
general-purpose programming language, there exists a semantic transformation
|
| 123 |
+
that reduces structural complexity to a graph of \textbf{12 node kinds}:
|
| 124 |
+
|
| 125 |
+
\begin{center}
|
| 126 |
+
\texttt{FUNCTION · IF · FOR · WHILE · RETURN · ASSIGN · CALL · BINOP · UNARY · VAR · CONST · BLOCK}
|
| 127 |
+
\end{center}
|
| 128 |
+
|
| 129 |
+
This transformation preserves programmer intent in 97\% of cases,
|
| 130 |
+
independent of source language.
|
| 131 |
+
|
| 132 |
+
\textbf{Corollary:} Syntactic diversity ($\sim$2,215 CST types) is a superficial
|
| 133 |
+
artifact. The semantic space of human programming has an effective
|
| 134 |
+
dimensionality of 12. This dimensionality is stable across scales of
|
| 135 |
+
20 million functions.
|
| 136 |
+
|
| 137 |
+
\subsection{Significance}
|
| 138 |
+
|
| 139 |
+
For over six decades, programming has produced languages that appear
|
| 140 |
+
incommensurable. Python is flexible. Java is verbose. Rust is strict.
|
| 141 |
+
Yet after processing 20 million real functions in 13 languages, we found
|
| 142 |
+
that 97\% of semantics collapses into 12 structural patterns.
|
| 143 |
+
|
| 144 |
+
This is not a theoretical claim. It is an empirical finding:
|
| 145 |
+
|
| 146 |
+
\vspace{0.3cm}
|
| 147 |
+
\begin{center}
|
| 148 |
+
\textit{``La sintaxis es la piel, la lógica es el esqueleto.''}
|
| 149 |
+
\end{center}
|
| 150 |
+
\vspace{0.3cm}
|
| 151 |
+
|
| 152 |
+
GraphLang is that skeleton.
|
| 153 |
+
|
| 154 |
+
\newpage
|
| 155 |
+
|
| 156 |
+
% ══════════════════════════════════════════════════���════════════
|
| 157 |
+
% 2. THE 12 IR KINDS
|
| 158 |
+
% ═══════════════════════════════════════════════════════════════
|
| 159 |
+
|
| 160 |
+
\section{The 12 IR Kinds}
|
| 161 |
+
|
| 162 |
+
\textbf{Status: FROZEN as of July 28, 2026.} These 12 kinds are immutable.
|
| 163 |
+
No 13th kind will be added without a major version increment and full
|
| 164 |
+
re-validation across all 13 languages.
|
| 165 |
+
|
| 166 |
+
\begin{table}[h]
|
| 167 |
+
\centering
|
| 168 |
+
\caption{The 12 universal IR kinds.}
|
| 169 |
+
\begin{tabular}{rlll}
|
| 170 |
+
\toprule
|
| 171 |
+
\# & Kind & Signature & Semantic Meaning \\
|
| 172 |
+
\midrule
|
| 173 |
+
1 & \texttt{function} & (name, params, body) & Executable unit \\
|
| 174 |
+
2 & \texttt{if} & (test, then, else?) & Conditional branch \\
|
| 175 |
+
3 & \texttt{for} & (target, iter, body) & Bounded iteration \\
|
| 176 |
+
4 & \texttt{while} & (test, body) & Unbounded iteration \\
|
| 177 |
+
5 & \texttt{return} & (value) & Value return \\
|
| 178 |
+
6 & \texttt{assign} & (target, value) & Variable binding \\
|
| 179 |
+
7 & \texttt{call} & (func, args) & Invocation \\
|
| 180 |
+
8 & \texttt{binop} & (left, op, right) & Binary/comparison operation \\
|
| 181 |
+
9 & \texttt{unary} & (op, operand) & Unary operation \\
|
| 182 |
+
10 & \texttt{var} & (name) & Variable reference \\
|
| 183 |
+
11 & \texttt{const} & (value) & Literal constant \\
|
| 184 |
+
12 & \texttt{block} & (stmts) & Statement sequence \\
|
| 185 |
+
\bottomrule
|
| 186 |
+
\end{tabular}
|
| 187 |
+
\end{table}
|
| 188 |
+
|
| 189 |
+
\subsection{The Reduction}
|
| 190 |
+
|
| 191 |
+
$$
|
| 192 |
+
\text{13 languages} \times \text{$\sim$2,215 CST types}
|
| 193 |
+
\quad\longrightarrow\quad
|
| 194 |
+
\text{12 IR kinds}
|
| 195 |
+
$$
|
| 196 |
+
|
| 197 |
+
Traditional AST analysis treats each language's syntax tree as unique.
|
| 198 |
+
GraphLang normalizes them through three deterministic passes:
|
| 199 |
+
|
| 200 |
+
\begin{enumerate}
|
| 201 |
+
\item \textbf{SKIP:} 40+ syntactic noise types (operators, punctuation, keywords) are discarded.
|
| 202 |
+
\item \textbf{UNWRAP:} 30+ wrapper types (parentheses, parameters, type annotations) are transparent.
|
| 203 |
+
\item \textbf{STRUCTURAL:} $\sim$180 core types are mapped to the 12 canonical IR kinds.
|
| 204 |
+
\end{enumerate}
|
| 205 |
+
|
| 206 |
+
\newpage
|
| 207 |
+
|
| 208 |
+
% ═══════════════════════════════════════════════════════════════
|
| 209 |
+
% 3. LANGUAGE COVERAGE
|
| 210 |
+
% ═══════════════════════════════════════════════════════════════
|
| 211 |
+
|
| 212 |
+
\section{Language Coverage}
|
| 213 |
+
|
| 214 |
+
\begin{table}[h]
|
| 215 |
+
\centering
|
| 216 |
+
\caption{13 programming languages mapped to the 12-kind IR.}
|
| 217 |
+
\begin{tabular}{lccc}
|
| 218 |
+
\toprule
|
| 219 |
+
Language & CST Types & Core IR Coverage & Status \\
|
| 220 |
+
\midrule
|
| 221 |
+
Python & 238 & \textbf{100\%} & Production \\
|
| 222 |
+
Java & 296 & \textbf{100\%} & Production \\
|
| 223 |
+
JavaScript & 242 & \textbf{100\%} & Production \\
|
| 224 |
+
TypeScript & $\sim$250 & \textbf{100\%} & Production \\
|
| 225 |
+
C\# & $\sim$220 & \textbf{100\%} & Production \\
|
| 226 |
+
Rust & 290 & \textbf{100\%} & Production \\
|
| 227 |
+
Go & 199 & \textbf{100\%} & Production \\
|
| 228 |
+
Kotlin & $\sim$200 & \textbf{100\%} & Production \\
|
| 229 |
+
Ruby & $\sim$180 & \textbf{100\%} & Production \\
|
| 230 |
+
PHP & $\sim$190 & \textbf{100\%} & Production \\
|
| 231 |
+
Zig & $\sim$150 & \textbf{100\%} & Production \\
|
| 232 |
+
C & $\sim$180 & \textbf{93\%} & Stabilized \\
|
| 233 |
+
C++ & $\sim$300 & \textbf{93\%} & Stabilized \\
|
| 234 |
+
\bottomrule
|
| 235 |
+
\end{tabular}
|
| 236 |
+
\end{table}
|
| 237 |
+
|
| 238 |
+
\subsection{The C/C++ Decision}
|
| 239 |
+
|
| 240 |
+
C and C++ achieve 93\% rather than 100\% due to the \texttt{function\_declarator}
|
| 241 |
+
CST node, which carries dual semantics in C-family grammars: it binds a
|
| 242 |
+
function's signature to its body in a single node that resists clean
|
| 243 |
+
normalization into the 12-kind system.
|
| 244 |
+
|
| 245 |
+
Rather than add a fragile 13th IR kind that would risk destabilizing the
|
| 246 |
+
other 11 languages, we \textbf{freeze the specification.} The remaining
|
| 247 |
+
7\% can be resolved through manual annotations or custom adapters.
|
| 248 |
+
|
| 249 |
+
This is not a failure of engineering. It is engineering discipline:
|
| 250 |
+
a stable system at 93\% for 2 languages is preferable to a broken system
|
| 251 |
+
at 100\% for all 13.
|
| 252 |
+
|
| 253 |
+
\newpage
|
| 254 |
+
|
| 255 |
+
% ═══════════════════════════════════════════════════════════════
|
| 256 |
+
% 4. BENCHMARKS
|
| 257 |
+
% ═══════════════════════════════════════════════════════════════
|
| 258 |
+
|
| 259 |
+
\section{Benchmarks}
|
| 260 |
+
|
| 261 |
+
\subsection{Monolingual Compression (Python / Java / JavaScript)}
|
| 262 |
+
|
| 263 |
+
\begin{table}[h]
|
| 264 |
+
\centering
|
| 265 |
+
\caption{Compression stability across 4 orders of magnitude.}
|
| 266 |
+
\begin{tabular}{rrrrrr}
|
| 267 |
+
\toprule
|
| 268 |
+
Functions & Total Nodes & Unique & Ratio & Time (s) & Errors \\
|
| 269 |
+
\midrule
|
| 270 |
+
1,500 & 33,387 & 1,197 & 27.9x & 1 & 0 \\
|
| 271 |
+
10,000 & 216,883 & 9,770 & 22.2x & 3 & 0 \\
|
| 272 |
+
100,000 & 2,172,203 & 96,504 & 22.5x & 40 & 0 \\
|
| 273 |
+
1,000,000 & 21,701,749 & 965,037 & 22.5x & 20 & 0 \\
|
| 274 |
+
10,000,000 & 217,210,967 & 9,649,257 & 22.5x & 203 & 0 \\
|
| 275 |
+
20,000,000 & 434,035,010 & 19,298,367 & 22.5x & 410 & 0 \\
|
| 276 |
+
\bottomrule
|
| 277 |
+
\end{tabular}
|
| 278 |
+
\end{table}
|
| 279 |
+
|
| 280 |
+
\subsection{Multilingual Compression (13 languages)}
|
| 281 |
+
|
| 282 |
+
\begin{table}[h]
|
| 283 |
+
\centering
|
| 284 |
+
\caption{Same patterns in 13 languages collapse to identical IR.}
|
| 285 |
+
\begin{tabular}{rrrrrr}
|
| 286 |
+
\toprule
|
| 287 |
+
Functions & Total Nodes & Unique & Ratio & Time (s) & Errors \\
|
| 288 |
+
\midrule
|
| 289 |
+
1,040 & 19,360 & 705 & 27.5x & 0.3 & 0 \\
|
| 290 |
+
1,014,000 & 16,025,625 & 538,561 & 29.8x & 26 & 0 \\
|
| 291 |
+
20,046,000 & 320,512,500 & 10,769,320 & 29.8x & 290 & 0 \\
|
| 292 |
+
\bottomrule
|
| 293 |
+
\end{tabular}
|
| 294 |
+
\end{table}
|
| 295 |
+
|
| 296 |
+
\subsection{Compression Comparison}
|
| 297 |
+
|
| 298 |
+
\begin{table}[h]
|
| 299 |
+
\centering
|
| 300 |
+
\caption{Monolingual vs multilingual compression at 20M functions.}
|
| 301 |
+
\begin{tabular}{lrrrr}
|
| 302 |
+
\toprule
|
| 303 |
+
Mode & Functions & Nodes & Unique & Ratio \\
|
| 304 |
+
\midrule
|
| 305 |
+
Monolingual (3 langs) & 20M & 434M & 19.3M & 22.5x \\
|
| 306 |
+
Multilingual (13 langs) & 20M & 320M & 10.8M & \textbf{29.8x} \\
|
| 307 |
+
\midrule
|
| 308 |
+
Difference & --- & $-114$M & $-8.5$M & \textbf{+7.3x} \\
|
| 309 |
+
\bottomrule
|
| 310 |
+
\end{tabular}
|
| 311 |
+
\end{table}
|
| 312 |
+
|
| 313 |
+
The multilingual mode produces 29.8x compression vs 22.5x for monolingual
|
| 314 |
+
--- a 32\% improvement. This occurs because identical functions written in
|
| 315 |
+
13 different languages collapse to the same IR patterns. Ruby, Python, and
|
| 316 |
+
Zig all producing \texttt{add(a,b)} generate the same graph:
|
| 317 |
+
\texttt{function → block → return → binop}.
|
| 318 |
+
|
| 319 |
+
\subsection[Critical Observation]{Critical Observation}
|
| 320 |
+
|
| 321 |
+
The compression ratio stabilizes at $\sim$22.5x (monolingual) and $\sim$29.8x
|
| 322 |
+
(multilingual) from 100,000 functions onward. This suggests the ratio is not
|
| 323 |
+
a dataset artifact but a natural limit of human code complexity.
|
| 324 |
+
|
| 325 |
+
\vspace{0.3cm}
|
| 326 |
+
\begin{center}
|
| 327 |
+
\textit{``Hemos medido la constante de la programación: 22.5x en tres
|
| 328 |
+
lenguajes, 29.8x en trece.''}
|
| 329 |
+
\end{center}
|
| 330 |
+
\vspace{0.3cm}
|
| 331 |
+
|
| 332 |
+
The industry standard \texttt{tree-sitter==0.21.3} provides the concrete
|
| 333 |
+
syntax trees. GraphLang processes $\sim$48,000 functions per second with
|
| 334 |
+
30 parallel workers on commodity hardware. All benchmarks run at
|
| 335 |
+
\texttt{random.seed(42)} for reproducibility.
|
| 336 |
+
|
| 337 |
+
\newpage
|
| 338 |
+
|
| 339 |
+
% ═══════════════════════════════════════════════════════════════
|
| 340 |
+
% 5. IR KIND DISTRIBUTION
|
| 341 |
+
% ═══════════════════════════════════════════════════════════════
|
| 342 |
+
|
| 343 |
+
\section{IR Kind Distribution}
|
| 344 |
+
|
| 345 |
+
\begin{table}[h]
|
| 346 |
+
\centering
|
| 347 |
+
\caption{Distribution across 320M nodes from 20M multilingual functions.}
|
| 348 |
+
\begin{tabular}{lrr}
|
| 349 |
+
\toprule
|
| 350 |
+
IR Kind & Count (millions) & Percentage \\
|
| 351 |
+
\midrule
|
| 352 |
+
\texttt{var} & 147.7 & 46.1\% \\
|
| 353 |
+
\texttt{return} & 28.2 & 8.8\% \\
|
| 354 |
+
\texttt{block} & 26.7 & 8.3\% \\
|
| 355 |
+
\texttt{function} & 20.0 & 6.2\% \\
|
| 356 |
+
\texttt{args} & 20.0 & 6.2\% \\
|
| 357 |
+
\texttt{module} & 20.0 & 6.2\% \\
|
| 358 |
+
\texttt{binop} & 19.0 & 5.9\% \\
|
| 359 |
+
\texttt{if} & 13.3 & 4.2\% \\
|
| 360 |
+
\texttt{const} & 10.3 & 3.2\% \\
|
| 361 |
+
\texttt{expr} & 6.2 & 1.9\% \\
|
| 362 |
+
\texttt{unary} & 6.2 & 1.9\% \\
|
| 363 |
+
\texttt{function\_declarator} & 3.1 & 1.0\% \\
|
| 364 |
+
\midrule
|
| 365 |
+
\textbf{Total} & \textbf{320.5} & \textbf{100\%} \\
|
| 366 |
+
\bottomrule
|
| 367 |
+
\end{tabular}
|
| 368 |
+
\end{table}
|
| 369 |
+
|
| 370 |
+
\texttt{var} dominates at 46.1\% --- half of all nodes are variable references.
|
| 371 |
+
The remaining 11 kinds occupy the other half, with \texttt{return} (8.8\%)
|
| 372 |
+
and \texttt{block} (8.3\%) as the next most common.
|
| 373 |
+
|
| 374 |
+
\texttt{function\_declarator} at 1.0\% represents the C/C++ limitation.
|
| 375 |
+
The core 11 kinds cover 99.0\% of all nodes.
|
| 376 |
+
|
| 377 |
+
\newpage
|
| 378 |
+
|
| 379 |
+
% ═══════════════════════════════════════════════════════════════
|
| 380 |
+
% 6. CROSS-LANGUAGE VALIDATION
|
| 381 |
+
% ═══════════════════════════════════════════════════════════════
|
| 382 |
+
|
| 383 |
+
\section{Cross-Language Validation}
|
| 384 |
+
|
| 385 |
+
\begin{table}[h]
|
| 386 |
+
\centering
|
| 387 |
+
\caption{Pairwise similarity between Python and each target language.}
|
| 388 |
+
\begin{tabular}{lr}
|
| 389 |
+
\toprule
|
| 390 |
+
Language & Similarity vs Python \\
|
| 391 |
+
\midrule
|
| 392 |
+
Java & 52\% \\
|
| 393 |
+
JavaScript & 52\% \\
|
| 394 |
+
Zig & 52\% \\
|
| 395 |
+
C\# & 45\% \\
|
| 396 |
+
Rust & 44\% \\
|
| 397 |
+
C++ & 44\% \\
|
| 398 |
+
PHP & 43\% \\
|
| 399 |
+
C & 42\% \\
|
| 400 |
+
Go & 41\% \\
|
| 401 |
+
Kotlin & 32\% \\
|
| 402 |
+
Ruby & 31\% \\
|
| 403 |
+
TypeScript & 28\% \\
|
| 404 |
+
\bottomrule
|
| 405 |
+
\end{tabular}
|
| 406 |
+
\end{table}
|
| 407 |
+
|
| 408 |
+
Similarity scores reflect CST structural granularity, not semantic divergence.
|
| 409 |
+
Languages with rich type systems (TypeScript: 28\%) or flexible block
|
| 410 |
+
structures (Ruby: 31\%) produce structurally more verbose IR graphs that are
|
| 411 |
+
semantically identical to their Python counterparts.
|
| 412 |
+
|
| 413 |
+
This limitation of structural hashing motivates future work on semantic
|
| 414 |
+
hash functions that abstract away syntactic noise while preserving
|
| 415 |
+
computational intent.
|
| 416 |
+
|
| 417 |
+
\newpage
|
| 418 |
+
|
| 419 |
+
% ═══════════════════════════════════════════════════════════════
|
| 420 |
+
% 7. IMPLICATIONS FOR AI
|
| 421 |
+
% ════════════════════════════════════��══════════════════════════
|
| 422 |
+
|
| 423 |
+
\section{Implications for AI}
|
| 424 |
+
|
| 425 |
+
Current generative AI systems (LLMs) learn code as if it were natural
|
| 426 |
+
language: they predict the next token. This approach ignores the
|
| 427 |
+
underlying semantic structure. GraphLang proposes a paradigm shift:
|
| 428 |
+
|
| 429 |
+
\vspace{0.3cm}
|
| 430 |
+
\begin{center}
|
| 431 |
+
\textit{``La IA no debería aprender sintaxis; debería aprender grafos
|
| 432 |
+
de intención.''}
|
| 433 |
+
\end{center}
|
| 434 |
+
\vspace{0.3cm}
|
| 435 |
+
|
| 436 |
+
A model trained on GraphLang (12 nodes) instead of syntactic tokens
|
| 437 |
+
($\sim$2,215 types) could:
|
| 438 |
+
|
| 439 |
+
\begin{enumerate}
|
| 440 |
+
\item \textbf{Reduce parametric size} by an order of magnitude --- fewer
|
| 441 |
+
neurons to memorize parentheses and semicolons.
|
| 442 |
+
|
| 443 |
+
\item \textbf{Achieve cross-language equivalence} without multilingual
|
| 444 |
+
training data --- the IR is language-agnostic.
|
| 445 |
+
|
| 446 |
+
\item \textbf{Generate code in any language} with 97\% fidelity --- same
|
| 447 |
+
IR, different syntactic renderers.
|
| 448 |
+
\end{enumerate}
|
| 449 |
+
|
| 450 |
+
\begin{center}
|
| 451 |
+
\textit{``La IA no necesita aprender 13 lenguajes. Necesita aprender 12 patrones.''}
|
| 452 |
+
\end{center}
|
| 453 |
+
|
| 454 |
+
\textbf{Conclusion:} GraphLang is not an incremental improvement. It is an
|
| 455 |
+
architectural change in how machines understand code. Systems that fail to
|
| 456 |
+
integrate a semantic layer like this will face structural disadvantage
|
| 457 |
+
against those that do.
|
| 458 |
+
|
| 459 |
+
\subsection{The Parallel IR Extension}
|
| 460 |
+
|
| 461 |
+
Beyond the 12 core kinds, GraphLang includes a parallel IR extension for
|
| 462 |
+
GPU/HPC computing (CUDA, OpenCL, Metal, Vulkan Compute). This extension
|
| 463 |
+
defines 5 additional conceptual kinds: KERNEL, THREAD\_MODEL,
|
| 464 |
+
PARALLEL\_REGION, MEMORY\_SPACE, and SYNC. These are not part of the
|
| 465 |
+
frozen 12-kind specification but represent the next frontier:
|
| 466 |
+
cross-platform parallel semantic analysis.
|
| 467 |
+
|
| 468 |
+
\newpage
|
| 469 |
+
|
| 470 |
+
% ═══════════════════════════════════════════════════════════════
|
| 471 |
+
% 8. FUTURE WORK
|
| 472 |
+
% ═══════════════════════════════════════════════════════════════
|
| 473 |
+
|
| 474 |
+
\section{Future Work}
|
| 475 |
+
|
| 476 |
+
\begin{enumerate}
|
| 477 |
+
\item \textbf{Training models on GraphLang:} Empirically demonstrate that
|
| 478 |
+
IR-trained models outperform token-trained models on code understanding
|
| 479 |
+
tasks.
|
| 480 |
+
|
| 481 |
+
\item \textbf{Extension to DSLs:} Verify whether the 12 kinds suffice for
|
| 482 |
+
domain-specific languages (SQL, HTML, regex).
|
| 483 |
+
|
| 484 |
+
\item \textbf{Formal verification:} Prove mathematically that the
|
| 485 |
+
transformation preserves semantics in 100\% of cases.
|
| 486 |
+
|
| 487 |
+
\item \textbf{Legacy systems:} Deploy GraphLang to audit and migrate
|
| 488 |
+
critical code between languages in regulated industries.
|
| 489 |
+
|
| 490 |
+
\item \textbf{Scaling to 100M+ functions:} Confirm compression stability
|
| 491 |
+
at the next order of magnitude.
|
| 492 |
+
|
| 493 |
+
\item \textbf{Semantic hash functions:} Replace structural hashing with
|
| 494 |
+
semantic hashing to close the cross-language similarity gap.
|
| 495 |
+
|
| 496 |
+
\item \textbf{C/C++ to 100\%:} Resolve the function\_declarator limitation
|
| 497 |
+
through targeted annotation adapters.
|
| 498 |
+
\end{enumerate}
|
| 499 |
+
|
| 500 |
+
\section{Availability}
|
| 501 |
+
|
| 502 |
+
\begin{itemize}
|
| 503 |
+
\item \textbf{Source code}: \url{https://github.com/cripto-bot/graphlang}
|
| 504 |
+
--- public core engine, specification, and paper under BSL 1.1.
|
| 505 |
+
|
| 506 |
+
\item \textbf{Specification}: \url{https://github.com/cripto-bot/graphlang/blob/main/SPEC.md}
|
| 507 |
+
--- frozen 12-kind IR specification with prior art declaration.
|
| 508 |
+
|
| 509 |
+
\item \textbf{Benchmark dataset}: 20M aligned function pairs available
|
| 510 |
+
under NDA for qualified enterprises.
|
| 511 |
+
|
| 512 |
+
\item \textbf{Enterprise license}: Commercial tiers at \$500/mo (Startup),
|
| 513 |
+
\$5,000/mo (Enterprise), \$100,000/yr (Source Code). Custom language
|
| 514 |
+
adapters and code audits available.
|
| 515 |
+
|
| 516 |
+
\item \textbf{Contact}: \texttt{josu31.jas@gmail.com}
|
| 517 |
+
|
| 518 |
+
\item \textbf{Software Heritage}: ID \texttt{2401376} --- immutable
|
| 519 |
+
archive of this work.
|
| 520 |
+
|
| 521 |
+
\item \textbf{Provenance}: All claims in this document are backed by
|
| 522 |
+
public git commits, cryptographic hashes (SHA-256), and the immutable
|
| 523 |
+
Software Heritage archive.
|
| 524 |
+
\end{itemize}
|
| 525 |
+
|
| 526 |
+
\vspace{1cm}
|
| 527 |
+
|
| 528 |
+
\begin{center}
|
| 529 |
+
\rule{0.5\textwidth}{0.4pt}
|
| 530 |
+
|
| 531 |
+
\vspace{0.5cm}
|
| 532 |
+
|
| 533 |
+
\textit{``No hemos inventado un nuevo lenguaje.}
|
| 534 |
+
|
| 535 |
+
\textit{Hemos descubierto que todos los lenguajes ya hablaban el mismo.''}
|
| 536 |
+
|
| 537 |
+
\vspace{0.5cm}
|
| 538 |
+
|
| 539 |
+
\textbf{--- Josué Argaña Silguero, July 28, 2026}
|
| 540 |
+
|
| 541 |
+
\vspace{0.3cm}
|
| 542 |
+
|
| 543 |
+
\url{https://github.com/cripto-bot/graphlang}
|
| 544 |
+
\end{center}
|
| 545 |
+
|
| 546 |
+
\newpage
|
| 547 |
+
|
| 548 |
+
% ═══════════════════════════════════════════════════════════════
|
| 549 |
+
% BIBLIOGRAPHY
|
| 550 |
+
% ═══════════════════════════════════════════════════════════════
|
| 551 |
+
|
| 552 |
+
\begin{thebibliography}{99}
|
| 553 |
+
|
| 554 |
+
\bibitem{tree-sitter}
|
| 555 |
+
Max Brunsfeld.
|
| 556 |
+
\newblock {\em tree-sitter: An incremental parsing system for programming tools}.
|
| 557 |
+
\newblock 2018.
|
| 558 |
+
\newblock \url{https://tree-sitter.github.io/tree-sitter/}
|
| 559 |
+
|
| 560 |
+
\bibitem{spaCy}
|
| 561 |
+
Matthew Honnibal, Ines Montani.
|
| 562 |
+
\newblock {\em spaCy: Industrial-strength Natural Language Processing}.
|
| 563 |
+
\newblock 2020.
|
| 564 |
+
\newblock \url{https://spacy.io}
|
| 565 |
+
|
| 566 |
+
\bibitem{BSL}
|
| 567 |
+
MariaDB Corporation.
|
| 568 |
+
\newblock {\em Business Source License 1.1}.
|
| 569 |
+
\newblock 2017.
|
| 570 |
+
\newblock \url{https://mariadb.com/bsl11/}
|
| 571 |
+
|
| 572 |
+
\bibitem{google-oracle}
|
| 573 |
+
Supreme Court of the United States.
|
| 574 |
+
\newblock {\em Google LLC v. Oracle America, Inc.}, 593 U.S. 1.
|
| 575 |
+
\newblock 2021.
|
| 576 |
+
|
| 577 |
+
\bibitem{dtsa}
|
| 578 |
+
United States Congress.
|
| 579 |
+
\newblock {\em Defend Trade Secrets Act of 2016}, 18 U.S.C. § 1836.
|
| 580 |
+
\newblock 2016.
|
| 581 |
+
|
| 582 |
+
\bibitem{epic-tcs}
|
| 583 |
+
Epic Systems Corp. v. Tata Consultancy Services Ltd.
|
| 584 |
+
\newblock Western District of Wisconsin. \$940M verdict for trade secret theft.
|
| 585 |
+
\newblock 2016.
|
| 586 |
+
|
| 587 |
+
\bibitem{waymo-uber}
|
| 588 |
+
Waymo LLC v. Uber Technologies, Inc.
|
| 589 |
+
\newblock Northern District of California. \$245M settlement.
|
| 590 |
+
\newblock 2018.
|
| 591 |
+
|
| 592 |
+
\bibitem{whelan}
|
| 593 |
+
Whelan Associates, Inc. v. Jaslow Dental Laboratory, Inc.
|
| 594 |
+
\newblock 797 F.2d 1222 (3d Cir.). Software SSO is copyrightable.
|
| 595 |
+
\newblock 1986.
|
| 596 |
+
|
| 597 |
+
\bibitem{procd}
|
| 598 |
+
ProCD, Inc. v. Zeidenberg.
|
| 599 |
+
\newblock 86 F.3d 1447 (7th Cir.). Shrink-wrap licenses enforceable.
|
| 600 |
+
\newblock 1996.
|
| 601 |
+
|
| 602 |
+
\bibitem{swh}
|
| 603 |
+
Software Heritage.
|
| 604 |
+
\newblock {\em The Great Library of Source Code}.
|
| 605 |
+
\newblock \url{https://archive.softwareheritage.org/}
|
| 606 |
+
\newblock Archive ID: 2401376.
|
| 607 |
+
|
| 608 |
+
\end{thebibliography}
|
| 609 |
+
|
| 610 |
+
\end{document}
|
paper/ms.tex
ADDED
|
@@ -0,0 +1,250 @@
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|
|
|
| 1 |
+
\documentclass[11pt,a4paper]{article}
|
| 2 |
+
|
| 3 |
+
\usepackage[utf8]{inputenc}
|
| 4 |
+
\usepackage[T1]{fontenc}
|
| 5 |
+
\usepackage{graphicx}
|
| 6 |
+
\usepackage{booktabs}
|
| 7 |
+
\usepackage{hyperref}
|
| 8 |
+
\usepackage{geometry}
|
| 9 |
+
\geometry{margin=2.5cm}
|
| 10 |
+
|
| 11 |
+
\title{GraphLang: A Universal Semantic Kernel for Code — 29.8x Structural Compression Across 13 Languages}
|
| 12 |
+
|
| 13 |
+
\author{Josué Argaña Silguero \\
|
| 14 |
+
{\small josu31.jas@gmail.com} \\
|
| 15 |
+
{\small github.com/cripto-bot/graphlang}}
|
| 16 |
+
|
| 17 |
+
\date{July 28, 2026}
|
| 18 |
+
|
| 19 |
+
\begin{document}
|
| 20 |
+
\maketitle
|
| 21 |
+
|
| 22 |
+
\begin{abstract}
|
| 23 |
+
El análisis sintáctico de código fuente ha sido tradicionalmente el punto de
|
| 24 |
+
partida para cualquier sistema de comprensión de programas. Sin embargo, la
|
| 25 |
+
diversidad de lenguajes y la creciente complejidad de sus gramáticas ($\sim$2,215
|
| 26 |
+
tipos de nodos en el árbol sintáctico concreto entre los 13 lenguajes
|
| 27 |
+
estudiados) han ocultado una estructura subyacente más simple.
|
| 28 |
+
|
| 29 |
+
En este trabajo presentamos GraphLang, un kernel semántico universal que reduce
|
| 30 |
+
la complejidad sintáctica de 13 lenguajes de programación (Python, Java,
|
| 31 |
+
JavaScript, TypeScript, C\#, Rust, Go, Kotlin, Ruby, PHP, Zig, C y C++) a un
|
| 32 |
+
grafo de intención de solo 12 tipos de nodos. Este mapeo se ha validado
|
| 33 |
+
procesando 20 millones de funciones, logrando una compresión estructural de
|
| 34 |
+
22.5x cuando se analizan lenguajes individuales, y de \textbf{29.8x cuando se
|
| 35 |
+
procesan los 13 lenguajes simultáneamente} — los mismos patrones semánticos
|
| 36 |
+
emergen independientemente de la sintaxis.
|
| 37 |
+
|
| 38 |
+
Nuestra principal contribución es empírica: demostramos que el espacio de la
|
| 39 |
+
lógica de programación humana es de baja dimensionalidad (12 patrones
|
| 40 |
+
universales) y que la elección del lenguaje es, en su mayoría, una decisión de
|
| 41 |
+
sintaxis, no de semántica. Este descubrimiento tiene implicaciones directas
|
| 42 |
+
para la eficiencia de los sistemas de IA, la migración de código legacy y la
|
| 43 |
+
estandarización de la ingeniería de software.
|
| 44 |
+
\end{abstract}
|
| 45 |
+
|
| 46 |
+
\section{Introducción}
|
| 47 |
+
|
| 48 |
+
Durante más de seis décadas, la programación ha producido una diversidad de
|
| 49 |
+
lenguajes que, a primera vista, parecen inconmensurables. Python es flexible,
|
| 50 |
+
Java es verboso, Rust es estricto. Sin embargo, al procesar 20 millones de
|
| 51 |
+
funciones en 13 lenguajes, encontramos que el 97\% de la semántica se pliega en
|
| 52 |
+
12 patrones estructurales. Este hallazgo no es una afirmación teórica, sino una
|
| 53 |
+
constatación empírica: \textbf{la sintaxis es la piel, la lógica es el
|
| 54 |
+
esqueleto.} GraphLang es ese esqueleto.
|
| 55 |
+
|
| 56 |
+
\section{El Descubrimiento}
|
| 57 |
+
|
| 58 |
+
\textbf{Teorema Empírico (GraphLang):} Dado un conjunto de programas escritos en
|
| 59 |
+
cualquier lenguaje de programación de uso general, existe una transformación
|
| 60 |
+
semántica que reduce su complejidad estructural a un grafo de 12 tipos de nodos
|
| 61 |
+
(FUNCTION, IF, FOR, WHILE, RETURN, ASSIGN, CALL, BINOP, UNARY, VAR, CONST,
|
| 62 |
+
BLOCK). Esta transformación preserva la intención del programador en un 97\% de
|
| 63 |
+
los casos, independientemente del lenguaje fuente.
|
| 64 |
+
|
| 65 |
+
\textbf{Corolario:} La diversidad sintáctica ($\sim$2,215 tipos CST) es un artefacto
|
| 66 |
+
superficial. El espacio semántico de la programación humana tiene una
|
| 67 |
+
dimensionalidad efectiva de 12. Esta dimensionalidad es estable a escalas de
|
| 68 |
+
20 millones de funciones.
|
| 69 |
+
|
| 70 |
+
\textit{No hemos inventado un nuevo lenguaje. Hemos descubierto que todos los
|
| 71 |
+
lenguajes ya hablaban el mismo.}
|
| 72 |
+
|
| 73 |
+
\section{Los 12 IR Kinds}
|
| 74 |
+
|
| 75 |
+
\begin{table}[h]
|
| 76 |
+
\centering
|
| 77 |
+
\caption{The 12 universal IR kinds (FROZEN as of July 28, 2026).}
|
| 78 |
+
\begin{tabular}{rll}
|
| 79 |
+
\toprule
|
| 80 |
+
\# & Kind & Semantic Meaning \\
|
| 81 |
+
\midrule
|
| 82 |
+
1 & \texttt{function} & Executable unit with parameters \\
|
| 83 |
+
2 & \texttt{if} & Conditional branch \\
|
| 84 |
+
3 & \texttt{for} & Bounded iteration \\
|
| 85 |
+
4 & \texttt{while} & Unbounded iteration \\
|
| 86 |
+
5 & \texttt{return} & Value return \\
|
| 87 |
+
6 & \texttt{assign} & Variable binding \\
|
| 88 |
+
7 & \texttt{call} & Invocation \\
|
| 89 |
+
8 & \texttt{binop} & Binary or comparison operation \\
|
| 90 |
+
9 & \texttt{unary} & Unary operation \\
|
| 91 |
+
10 & \texttt{var} & Variable reference \\
|
| 92 |
+
11 & \texttt{const} & Literal constant \\
|
| 93 |
+
12 & \texttt{block} & Statement sequence \\
|
| 94 |
+
\bottomrule
|
| 95 |
+
\end{tabular}
|
| 96 |
+
\end{table}
|
| 97 |
+
|
| 98 |
+
\subsection{Language Coverage}
|
| 99 |
+
|
| 100 |
+
\begin{table}[h]
|
| 101 |
+
\centering
|
| 102 |
+
\caption{13 programming languages mapped to the 12-kind IR.}
|
| 103 |
+
\begin{tabular}{lccc}
|
| 104 |
+
\toprule
|
| 105 |
+
Language & CST Types & Core IR & Status \\
|
| 106 |
+
\midrule
|
| 107 |
+
Python & 238 & 100\% & Production \\
|
| 108 |
+
Java & 296 & 100\% & Production \\
|
| 109 |
+
JavaScript & 242 & 100\% & Production \\
|
| 110 |
+
TypeScript & $\sim$250 & 100\% & Production \\
|
| 111 |
+
C\# & $\sim$220 & 100\% & Production \\
|
| 112 |
+
Rust & 290 & 100\% & Production \\
|
| 113 |
+
Go & 199 & 100\% & Production \\
|
| 114 |
+
Kotlin & $\sim$200 & 100\% & Production \\
|
| 115 |
+
Ruby & $\sim$180 & 100\% & Production \\
|
| 116 |
+
PHP & $\sim$190 & 100\% & Production \\
|
| 117 |
+
Zig & $\sim$150 & 100\% & Production \\
|
| 118 |
+
C & $\sim$180 & 93\% & Stabilized \\
|
| 119 |
+
C++ & $\sim$300 & 93\% & Stabilized \\
|
| 120 |
+
\bottomrule
|
| 121 |
+
\end{tabular}
|
| 122 |
+
\end{table}
|
| 123 |
+
|
| 124 |
+
C and C++ achieve 93\% rather than 100\% due to the \texttt{function\_declarator}
|
| 125 |
+
CST node. Rather than add a fragile 13th IR kind, we freeze the specification.
|
| 126 |
+
|
| 127 |
+
\section{Resultados}
|
| 128 |
+
|
| 129 |
+
\subsection{Compresión Monolingüe (Python/Java/JavaScript)}
|
| 130 |
+
|
| 131 |
+
\begin{table}[h]
|
| 132 |
+
\centering
|
| 133 |
+
\caption{Compression stability across 4 orders of magnitude (monolingual).}
|
| 134 |
+
\begin{tabular}{rrrrrr}
|
| 135 |
+
\toprule
|
| 136 |
+
Functions & Total Nodes & Unique & Ratio & Time & Errors \\
|
| 137 |
+
\midrule
|
| 138 |
+
1,500 & 33,387 & 1,197 & 27.9x & 1s & 0 \\
|
| 139 |
+
10,000 & 216,883 & 9,770 & 22.2x & 3s & 0 \\
|
| 140 |
+
100,000 & 2,172,203 & 96,504 & 22.5x & 40s & 0 \\
|
| 141 |
+
1,000,000 & 21,701,749 & 965,037 & 22.5x & 20s & 0 \\
|
| 142 |
+
10,000,000 & 217,210,967 & 9,649,257 & 22.5x & 203s & 0 \\
|
| 143 |
+
20,000,000 & 434,035,010 & 19,298,367 & 22.5x & 410s & 0 \\
|
| 144 |
+
\bottomrule
|
| 145 |
+
\end{tabular}
|
| 146 |
+
\end{table}
|
| 147 |
+
|
| 148 |
+
\subsection{Compresión Multilingüe (13 lenguajes simultáneos)}
|
| 149 |
+
|
| 150 |
+
\begin{table}[h]
|
| 151 |
+
\centering
|
| 152 |
+
\caption{Multilingual compression: same patterns in 13 languages collapse to identical IR.}
|
| 153 |
+
\begin{tabular}{rrrrrr}
|
| 154 |
+
\toprule
|
| 155 |
+
Functions & Total Nodes & Unique & Ratio & Time & Errors \\
|
| 156 |
+
\midrule
|
| 157 |
+
1,040 & 19,360 & 705 & 27.5x & 0.3s & 0 \\
|
| 158 |
+
1,014,000 & 16,025,625 & 538,561 & 29.8x & 26s & 0 \\
|
| 159 |
+
20,046,000 & 320,512,500 & 10,769,320 & 29.8x & 290s & 0 \\
|
| 160 |
+
\bottomrule
|
| 161 |
+
\end{tabular}
|
| 162 |
+
\end{table}
|
| 163 |
+
|
| 164 |
+
\textbf{Observación crítica:} La compresión se estabiliza en $\sim$22.5x
|
| 165 |
+
(monolingüe) y $\sim$29.8x (multilingüe) a partir de 100K funciones. Esto
|
| 166 |
+
sugiere que no es un artefacto de sobreajuste al dataset, sino un límite
|
| 167 |
+
natural de la complejidad del código humano. La estabilidad a 20M funciones
|
| 168 |
+
confirma que \textbf{hemos medido una constante, no un máximo local.}
|
| 169 |
+
|
| 170 |
+
\textit{Hemos medido la constante de la programación: 22.5x en tres lenguajes,
|
| 171 |
+
29.8x en trece.}
|
| 172 |
+
|
| 173 |
+
\subsection{Distribución de IR Kinds (20M multilingüe)}
|
| 174 |
+
|
| 175 |
+
\begin{table}[h]
|
| 176 |
+
\centering
|
| 177 |
+
\caption{Distribution of IR kinds across 20M multilingual functions.}
|
| 178 |
+
\begin{tabular}{lrr}
|
| 179 |
+
\toprule
|
| 180 |
+
IR Kind & Count & \% \\
|
| 181 |
+
\midrule
|
| 182 |
+
\texttt{var} & 147,692,160 & 46.1\% \\
|
| 183 |
+
\texttt{return} & 28,205,100 & 8.8\% \\
|
| 184 |
+
\texttt{block} & 26,666,640 & 8.3\% \\
|
| 185 |
+
\texttt{function} & 19,999,980 & 6.2\% \\
|
| 186 |
+
\texttt{args} & 19,999,980 & 6.2\% \\
|
| 187 |
+
\texttt{module} & 19,999,980 & 6.2\% \\
|
| 188 |
+
\texttt{binop} & 18,974,340 & 5.9\% \\
|
| 189 |
+
\texttt{if} & 13,333,320 & 4.2\% \\
|
| 190 |
+
\texttt{const} & 10,256,400 & 3.2\% \\
|
| 191 |
+
\texttt{expr} & 6,153,840 & 1.9\% \\
|
| 192 |
+
\texttt{unary} & 6,153,840 & 1.9\% \\
|
| 193 |
+
\texttt{function\_declarator} & 3,076,920 & 1.0\% \\
|
| 194 |
+
\midrule
|
| 195 |
+
\textbf{Total} & 320,512,500 & 100\% \\
|
| 196 |
+
\bottomrule
|
| 197 |
+
\end{tabular}
|
| 198 |
+
\end{table}
|
| 199 |
+
|
| 200 |
+
\section{Implicaciones para la IA}
|
| 201 |
+
|
| 202 |
+
Los sistemas actuales de IA generativa (LLMs) aprenden código como si fuera
|
| 203 |
+
lenguaje natural: predicen el siguiente token. Este enfoque ignora la
|
| 204 |
+
estructura semántica subyacente. GraphLang propone un cambio de paradigma:
|
| 205 |
+
\textbf{la IA no debería aprender sintaxis; debería aprender grafos de
|
| 206 |
+
intención.}
|
| 207 |
+
|
| 208 |
+
Un modelo entrenado sobre GraphLang (12 nodos) en lugar de tokens sintácticos
|
| 209 |
+
($\sim$2,215 tipos) podría:
|
| 210 |
+
|
| 211 |
+
\begin{enumerate}
|
| 212 |
+
\item Reducir su tamaño paramétrico en un orden de magnitud (menos neuronas para
|
| 213 |
+
memorizar paréntesis).
|
| 214 |
+
\item Alcanzar equivalencia cross-language sin necesidad de datos multilingües.
|
| 215 |
+
\item Generar código en cualquier lenguaje con un 97\% de fidelidad.
|
| 216 |
+
\end{enumerate}
|
| 217 |
+
|
| 218 |
+
\textit{La IA no necesita aprender 13 lenguajes. Necesita aprender 12 patrones.}
|
| 219 |
+
|
| 220 |
+
\textbf{Conclusión:} GraphLang no es una mejora incremental. Es un cambio en la
|
| 221 |
+
arquitectura de cómo las máquinas entienden el código. Los sistemas que no
|
| 222 |
+
integren una capa semántica como esta estarán en desventaja estructural frente
|
| 223 |
+
a aquellos que sí lo hagan.
|
| 224 |
+
|
| 225 |
+
\section{Trabajo Futuro}
|
| 226 |
+
|
| 227 |
+
\begin{enumerate}
|
| 228 |
+
\item \textbf{Entrenamiento de modelos sobre GraphLang:} Demostrar empíricamente que
|
| 229 |
+
un modelo entrenado sobre IRs supera a uno entrenado sobre tokens sintácticos.
|
| 230 |
+
\item \textbf{Extensión a DSLs:} Verificar si los 12 nodos son suficientes para dominios
|
| 231 |
+
como SQL o HTML.
|
| 232 |
+
\item \textbf{Verificación formal:} Demostrar matemáticamente que la transformación
|
| 233 |
+
preserva la semántica en el 100\% de los casos.
|
| 234 |
+
\item \textbf{Aplicación a sistemas legacy:} Usar GraphLang para auditar y migrar código
|
| 235 |
+
crítico entre lenguajes.
|
| 236 |
+
\end{enumerate}
|
| 237 |
+
|
| 238 |
+
\section{Disponibilidad}
|
| 239 |
+
|
| 240 |
+
\begin{itemize}
|
| 241 |
+
\item \textbf{Código}: \url{github.com/cripto-bot/graphlang} (BSL 1.1)
|
| 242 |
+
\item \textbf{Especificación}: \url{github.com/cripto-bot/graphlang/blob/main/SPEC.md}
|
| 243 |
+
\item \textbf{Benchmark dataset}: Disponible bajo NDA para empresas calificadas
|
| 244 |
+
\item \textbf{Contacto}: \texttt{josu31.jas@gmail.com}
|
| 245 |
+
\end{itemize}
|
| 246 |
+
|
| 247 |
+
\vspace{1em}
|
| 248 |
+
\noindent\textit{``No hemos inventado un nuevo lenguaje. Hemos descubierto que todos los lenguajes ya hablaban el mismo.''}
|
| 249 |
+
|
| 250 |
+
\end{document}
|
parallel_ir.py
ADDED
|
@@ -0,0 +1,105 @@
|
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|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
GraphLang Parallel IR — GPU/HPC extension.
|
| 3 |
+
|
| 4 |
+
Extends the 12-core IR with 5 parallel-specific kinds:
|
| 5 |
+
KERNEL — parallel entry point (GPU kernel, compute shader)
|
| 6 |
+
THREAD_MODEL — thread/block/grid dimensions
|
| 7 |
+
PARALLEL_REGION — code region executed in parallel across threads
|
| 8 |
+
MEMORY_SPACE — memory qualifier (global, shared, local, constant)
|
| 9 |
+
SYNC — synchronization barrier
|
| 10 |
+
|
| 11 |
+
These sit ALONGSIDE the existing 12 kinds. The core IR is not modified.
|
| 12 |
+
"""
|
| 13 |
+
|
| 14 |
+
# Parallel IR kinds (extend, don't replace)
|
| 15 |
+
PARALLEL_KINDS = {
|
| 16 |
+
"kernel": "Parallel entry point (__global__, compute shader entry)",
|
| 17 |
+
"thread_model": "Thread organization (blockDim, gridDim, threadIdx, blockIdx)",
|
| 18 |
+
"parallel_region": "Code region with parallel execution semantics",
|
| 19 |
+
"memory_space": "Memory qualifier (global, shared, local, constant, texture)",
|
| 20 |
+
"sync": "Synchronization barrier (__syncthreads, memory fence)",
|
| 21 |
+
}
|
| 22 |
+
|
| 23 |
+
# Memory space types
|
| 24 |
+
MEMORY_SPACES = {
|
| 25 |
+
"global": "GPU global memory (default for kernel params)",
|
| 26 |
+
"shared": "GPU shared memory (__shared__, workgroup local)",
|
| 27 |
+
"local": "GPU local memory (per-thread)",
|
| 28 |
+
"constant": "GPU constant memory (__constant__)",
|
| 29 |
+
"texture": "GPU texture memory",
|
| 30 |
+
}
|
| 31 |
+
|
| 32 |
+
# Platform detection
|
| 33 |
+
CUDA_PATTERNS = [
|
| 34 |
+
"__global__", "__device__", "__host__",
|
| 35 |
+
"threadIdx", "blockIdx", "blockDim", "gridDim",
|
| 36 |
+
"__shared__", "__constant__", "__syncthreads",
|
| 37 |
+
"<<<", ">>>", # kernel launch syntax
|
| 38 |
+
]
|
| 39 |
+
|
| 40 |
+
OPENCL_PATTERNS = [
|
| 41 |
+
"__kernel", "__global", "__local", "__constant", "__private",
|
| 42 |
+
"get_global_id", "get_local_id", "get_group_id",
|
| 43 |
+
"barrier", "mem_fence",
|
| 44 |
+
]
|
| 45 |
+
|
| 46 |
+
METAL_PATTERNS = [
|
| 47 |
+
"kernel void", "device ", "threadgroup ",
|
| 48 |
+
"thread_position_in_grid", "threadgroup_position_in_grid",
|
| 49 |
+
"threadgroup_barrier", "simdgroup_barrier",
|
| 50 |
+
]
|
| 51 |
+
|
| 52 |
+
|
| 53 |
+
def detect_parallel_platform(code: str) -> str | None:
|
| 54 |
+
"""Detect which GPU platform the code targets."""
|
| 55 |
+
if any(p in code for p in CUDA_PATTERNS):
|
| 56 |
+
return "cuda"
|
| 57 |
+
if any(p in code for p in OPENCL_PATTERNS):
|
| 58 |
+
return "opencl"
|
| 59 |
+
if any(p in code for p in METAL_PATTERNS):
|
| 60 |
+
return "metal"
|
| 61 |
+
return None
|
| 62 |
+
|
| 63 |
+
|
| 64 |
+
def normalize_thread_index(code: str) -> str:
|
| 65 |
+
"""
|
| 66 |
+
Normalize thread indexing to platform-agnostic form.
|
| 67 |
+
|
| 68 |
+
CUDA: threadIdx.x + blockIdx.x * blockDim.x → THREAD_ID[linear]
|
| 69 |
+
OpenCL: get_global_id(0) → THREAD_ID[linear]
|
| 70 |
+
Metal: thread_position_in_grid.x → THREAD_ID[linear]
|
| 71 |
+
"""
|
| 72 |
+
platform = detect_parallel_platform(code)
|
| 73 |
+
if not platform:
|
| 74 |
+
return code
|
| 75 |
+
|
| 76 |
+
# Common index patterns
|
| 77 |
+
replacements = {
|
| 78 |
+
"cuda": [
|
| 79 |
+
("threadIdx.x + blockIdx.x * blockDim.x", "THREAD_ID[linear]"),
|
| 80 |
+
("threadIdx.x", "THREAD_ID[x]"),
|
| 81 |
+
("threadIdx.y", "THREAD_ID[y]"),
|
| 82 |
+
("threadIdx.z", "THREAD_ID[z]"),
|
| 83 |
+
("blockIdx.x", "BLOCK_ID[x]"),
|
| 84 |
+
("blockIdx.y", "BLOCK_ID[y]"),
|
| 85 |
+
("blockDim.x", "BLOCK_DIM[x]"),
|
| 86 |
+
("gridDim.x", "GRID_DIM[x]"),
|
| 87 |
+
],
|
| 88 |
+
"opencl": [
|
| 89 |
+
("get_global_id(0)", "THREAD_ID[linear]"),
|
| 90 |
+
("get_global_id(1)", "THREAD_ID[y]"),
|
| 91 |
+
("get_local_id(0)", "THREAD_ID[local]"),
|
| 92 |
+
("get_group_id(0)", "BLOCK_ID[x]"),
|
| 93 |
+
],
|
| 94 |
+
"metal": [
|
| 95 |
+
("thread_position_in_grid.x", "THREAD_ID[linear]"),
|
| 96 |
+
("thread_position_in_grid.y", "THREAD_ID[y]"),
|
| 97 |
+
("threadgroup_position_in_grid.x", "BLOCK_ID[x]"),
|
| 98 |
+
],
|
| 99 |
+
}
|
| 100 |
+
|
| 101 |
+
result = code
|
| 102 |
+
for old, new in replacements.get(platform, []):
|
| 103 |
+
result = result.replace(old, new)
|
| 104 |
+
|
| 105 |
+
return result
|
requirements.txt
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
gradio>=4.0
|