Datasets:
Languages:
English
Size:
10K - 100K
Tags:
mathematics
theorem-recognition
procedural-reasoning
retrieval-augmented-generation
robustness
License:
| { | |
| "$schema": "https://json-schema.org/draft/2020-12/schema", | |
| "$id": "https://example.org/schemas/route-decoder-v2.0.json", | |
| "title": "Route Decoder Output v2.0", | |
| "type": "object", | |
| "additionalProperties": false, | |
| "required": [ | |
| "schema_version", | |
| "decision", | |
| "theorem", | |
| "route", | |
| "rejection", | |
| "evidence_used" | |
| ], | |
| "properties": { | |
| "schema_version": { | |
| "const": "route-decoder-v2.0" | |
| }, | |
| "decision": { | |
| "type": "string", | |
| "enum": [ | |
| "ACCEPT", | |
| "REJECT", | |
| "ABSTAIN" | |
| ] | |
| }, | |
| "theorem": { | |
| "type": "object", | |
| "additionalProperties": false, | |
| "required": [ | |
| "id", | |
| "name", | |
| "canonical_statement_latex", | |
| "assumptions_used", | |
| "confidence" | |
| ], | |
| "properties": { | |
| "id": { | |
| "type": [ | |
| "string", | |
| "null" | |
| ], | |
| "maxLength": 160 | |
| }, | |
| "name": { | |
| "type": [ | |
| "string", | |
| "null" | |
| ], | |
| "maxLength": 240 | |
| }, | |
| "canonical_statement_latex": { | |
| "type": [ | |
| "string", | |
| "null" | |
| ], | |
| "maxLength": 3000 | |
| }, | |
| "assumptions_used": { | |
| "type": "array", | |
| "maxItems": 12, | |
| "items": { | |
| "type": "string", | |
| "maxLength": 500 | |
| } | |
| }, | |
| "confidence": { | |
| "type": "number", | |
| "minimum": 0, | |
| "maximum": 1 | |
| } | |
| } | |
| }, | |
| "route": { | |
| "type": "object", | |
| "additionalProperties": false, | |
| "required": [ | |
| "operations", | |
| "steps", | |
| "final_statement_latex", | |
| "minimality", | |
| "confidence" | |
| ], | |
| "properties": { | |
| "operations": { | |
| "type": "array", | |
| "maxItems": 6, | |
| "items": { | |
| "type": "string", | |
| "enum": [ | |
| "REMOVE_ARGMIN_ENCODING", | |
| "REMOVE_CHARACTERIZATION_ENCODING", | |
| "REMOVE_CONTAINMENT_ENCODING", | |
| "REMOVE_CYLINDER_ENCODING", | |
| "REMOVE_DISTANCE_ENCODING", | |
| "REMOVE_FIBER_ENCODING", | |
| "REMOVE_INTERSECTION_ENCODING", | |
| "REMOVE_MONOTONE_ENCODING", | |
| "REMOVE_OPTIMIZATION_ENCODING", | |
| "REMOVE_PAIR_ENCODING", | |
| "REMOVE_QUANTIFIER_ENCODING", | |
| "REMOVE_SET_MEMBERSHIP_ENCODING", | |
| "REMOVE_TRUTH_TABLE_ENCODING", | |
| "REMOVE_WITNESS_ENCODING", | |
| "DENORMALIZE_RELATION", | |
| "EXPAND_ABBREVIATIONS", | |
| "OTHER" | |
| ] | |
| } | |
| }, | |
| "steps": { | |
| "type": "array", | |
| "maxItems": 6, | |
| "items": { | |
| "type": "object", | |
| "additionalProperties": false, | |
| "required": [ | |
| "index", | |
| "operation", | |
| "operation_free_text", | |
| "input_latex", | |
| "output_latex", | |
| "rule_id", | |
| "justification", | |
| "confidence" | |
| ], | |
| "properties": { | |
| "index": { | |
| "type": "integer", | |
| "minimum": 1, | |
| "maximum": 6 | |
| }, | |
| "operation": { | |
| "type": "string", | |
| "enum": [ | |
| "REMOVE_ARGMIN_ENCODING", | |
| "REMOVE_CHARACTERIZATION_ENCODING", | |
| "REMOVE_CONTAINMENT_ENCODING", | |
| "REMOVE_CYLINDER_ENCODING", | |
| "REMOVE_DISTANCE_ENCODING", | |
| "REMOVE_FIBER_ENCODING", | |
| "REMOVE_INTERSECTION_ENCODING", | |
| "REMOVE_MONOTONE_ENCODING", | |
| "REMOVE_OPTIMIZATION_ENCODING", | |
| "REMOVE_PAIR_ENCODING", | |
| "REMOVE_QUANTIFIER_ENCODING", | |
| "REMOVE_SET_MEMBERSHIP_ENCODING", | |
| "REMOVE_TRUTH_TABLE_ENCODING", | |
| "REMOVE_WITNESS_ENCODING", | |
| "DENORMALIZE_RELATION", | |
| "EXPAND_ABBREVIATIONS", | |
| "OTHER" | |
| ] | |
| }, | |
| "operation_free_text": { | |
| "type": [ | |
| "string", | |
| "null" | |
| ], | |
| "maxLength": 240 | |
| }, | |
| "input_latex": { | |
| "type": "string", | |
| "maxLength": 2400 | |
| }, | |
| "output_latex": { | |
| "type": "string", | |
| "maxLength": 2400 | |
| }, | |
| "rule_id": { | |
| "type": [ | |
| "string", | |
| "null" | |
| ], | |
| "maxLength": 120 | |
| }, | |
| "justification": { | |
| "type": "string", | |
| "maxLength": 500 | |
| }, | |
| "confidence": { | |
| "type": "number", | |
| "minimum": 0, | |
| "maximum": 1 | |
| } | |
| } | |
| } | |
| }, | |
| "final_statement_latex": { | |
| "type": [ | |
| "string", | |
| "null" | |
| ], | |
| "maxLength": 3000 | |
| }, | |
| "minimality": { | |
| "type": "string", | |
| "enum": [ | |
| "MINIMAL", | |
| "NON_MINIMAL", | |
| "UNKNOWN" | |
| ] | |
| }, | |
| "confidence": { | |
| "type": "number", | |
| "minimum": 0, | |
| "maximum": 1 | |
| } | |
| } | |
| }, | |
| "rejection": { | |
| "type": "object", | |
| "additionalProperties": false, | |
| "required": [ | |
| "reason", | |
| "failed_step_index", | |
| "explanation" | |
| ], | |
| "properties": { | |
| "reason": { | |
| "type": "string", | |
| "enum": [ | |
| "NONE", | |
| "NO_THEOREM_MATCH", | |
| "NOT_EQUIVALENT", | |
| "INVALID_TRANSFORMATION", | |
| "CONTRADICTED_ASSUMPTIONS", | |
| "ILL_TYPED", | |
| "AMBIGUOUS", | |
| "INSUFFICIENT_EVIDENCE" | |
| ] | |
| }, | |
| "failed_step_index": { | |
| "type": [ | |
| "integer", | |
| "null" | |
| ], | |
| "minimum": 1, | |
| "maximum": 6 | |
| }, | |
| "explanation": { | |
| "type": "string", | |
| "maxLength": 700 | |
| } | |
| } | |
| }, | |
| "evidence_used": { | |
| "type": "object", | |
| "additionalProperties": false, | |
| "required": [ | |
| "theorem_card_ids", | |
| "transform_rule_ids" | |
| ], | |
| "properties": { | |
| "theorem_card_ids": { | |
| "type": "array", | |
| "maxItems": 16, | |
| "items": { | |
| "type": "string", | |
| "maxLength": 120 | |
| } | |
| }, | |
| "transform_rule_ids": { | |
| "type": "array", | |
| "maxItems": 16, | |
| "items": { | |
| "type": "string", | |
| "maxLength": 120 | |
| } | |
| } | |
| } | |
| } | |
| } | |
| } | |