mirror of
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- New: InformationManifold.lean — tensor integration module - Update: SLUQ.lean — proof refinements - New: chentsov_fusion.py — Chentsov fusion bridge - New: tdoku_16d.py — 16-dimensional TDoku solver - New: validate_docs.py — documentation validation script - New: negative_tests.json + test_negative_suite.py — negative test fixtures - Update: flac_dsp_node.py — DSP node refinements - Update: CITATION.cff — citation metadata - Docs: GEOMETRIC_SUBSTANCE_CANONICAL_RECONCILIATION, LITERATURE_MAPPING, GROTHENDIECKIAN_ORGANIZATIONAL_ROTATION_PROPOSAL, formula extraction suite - New: package/ — public-apis npm metadata
65 lines
No EOL
1.5 KiB
JSON
65 lines
No EOL
1.5 KiB
JSON
[
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{
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"equation": "x + ",
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"type": "non_expression",
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"expected": false,
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"reason": "Incomplete binary operator; missing second operand."
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},
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{
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"equation": "3 * (2 + 1) = 9",
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"type": "identity",
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"expected": true,
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"reason": "Arithmetic identity; should pass consistency gate."
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},
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{
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"equation": "$",
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"type": "ambiguous_delimiter",
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"expected": false,
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"reason": "Single dollar sign without content; unclear if TeX math or punctuation."
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},
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{
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"equation": "sin(x) + log(y)",
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"type": "expression",
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"expected": true,
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"reason": "Standard multi-term expression."
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},
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{
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"equation": "x^2 + y^2 = z^2",
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"type": "identity",
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"expected": true,
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"reason": "Pythagorean theorem; valid identity."
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},
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{
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"equation": "10 / 0",
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"type": "undefined_operation",
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"expected": false,
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"reason": "Division by zero in a discrete context without limit definition."
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},
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{
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"equation": "x + y = x + y",
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"type": "tautology",
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"expected": true,
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"reason": "Trivial identity; should pass consistency gate."
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},
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{
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"equation": "(a + b) * c",
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"type": "expression",
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"expected": true,
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"reason": "Standard nested expression."
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},
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{
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"equation": "x \\cdot y \\cdot z",
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"type": "expression",
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"expected": true,
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"reason": "Dot notation; should be accepted by the consistency gate."
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},
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{
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"equation": "2 + 3 = 6",
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"type": "dimension_mismatch",
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"expected": true,
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"reason": "Well-formed structure; arithmetic truth is secondary to consistency."
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}
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] |