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{
"openapi": "3.1.0",
"info": {
"title": "PhyslibSearch API",
"description": "Semantic search engine for PhysLib, a formal Lean 4 physics library. Enables natural language search over Lean theorems, definitions, and lemmas using dense vector retrieval with LLM-powered query expansion (HyDE) and Gemini embeddings.",
"version": "1.0.0"
},
"servers": [
{
"url": "http://localhost:8001",
"description": "Local development server"
}
],
"paths": {
"/search": {
"post": {
"summary": "Search declarations by natural language",
"description": "Performs semantic search on Lean declarations using one or more natural language queries. Sets a session cookie on single-query requests for feedback tracking.",
"operationId": "search",
"requestBody": {
"required": true,
"content": {
"application/json": {
"schema": {
"$ref": "#/components/schemas/SearchRequest"
},
"examples": {
"single_query": {
"summary": "Single query",
"value": { "query": ["Newton's second law"], "num_results": 10 }
},
"multi_query": {
"summary": "Multiple queries",
"value": { "query": ["Newton's second law", "conservation of energy"], "num_results": 5 }
}
}
}
}
},
"responses": {
"200": {
"description": "Array of result arrays, one per query",
"headers": {
"Set-Cookie": {
"description": "Session UUID cookie set on single-query requests for feedback tracking",
"schema": { "type": "string", "example": "session=550e8400-e29b-41d4-a716-446655440000; Path=/; SameSite=lax" }
}
},
"content": {
"application/json": {
"schema": {
"type": "array",
"items": {
"type": "array",
"items": { "$ref": "#/components/schemas/QueryResult" }
}
}
}
}
},
"422": { "$ref": "#/components/responses/ValidationError" },
"429": { "$ref": "#/components/responses/RateLimitError" }
}
}
},
"/expand": {
"post": {
"summary": "HyDE query expansion",
"description": "Expands a natural language query into a hypothetical Lean declaration using Gemini. The expanded text can be used as input to /search for improved semantic alignment. Falls back to the original query on failure.",
"operationId": "expand",
"requestBody": {
"required": true,
"content": {
"application/json": {
"schema": {
"type": "string",
"example": "Newton's second law of motion"
}
}
}
},
"responses": {
"200": {
"description": "Hypothetical Lean declaration, or the original query if expansion failed",
"content": {
"application/json": {
"schema": {
"type": "string",
"example": "theorem Newton.secondLaw (m : ℝ) (a F : EuclideanSpace ℝ (Fin 3)) : F = m • a"
}
}
}
},
"429": { "$ref": "#/components/responses/RateLimitError" }
}
}
},
"/fetch": {
"post": {
"summary": "Fetch declarations by exact Lean name",
"description": "Look up one or more declarations by their fully-qualified Lean name. Returns null for names that are not found. Results are returned in the same order as the request.",
"operationId": "fetch",
"requestBody": {
"required": true,
"content": {
"application/json": {
"schema": {
"$ref": "#/components/schemas/FetchRequest"
},
"examples": {
"example": {
"value": {
"query": [
["Physlib", "Mechanics", "Newton", "secondLaw"],
["Physlib", "QuantumMechanics", "HarmonicOscillator"]
]
}
}
}
}
}
},
"responses": {
"200": {
"description": "Array of declarations in request order; null for names not found",
"content": {
"application/json": {
"schema": {
"type": "array",
"items": {
"oneOf": [
{ "$ref": "#/components/schemas/Declaration" },
{ "type": "null" }
]
}
}
}
}
},
"422": { "$ref": "#/components/responses/ValidationError" },
"429": { "$ref": "#/components/responses/RateLimitError" }
}
}
},
"/modules": {
"get": {
"summary": "List all indexed modules",
"description": "Retrieve metadata for all indexed Lean modules. Only includes modules with at least one visible declaration that has an informal description. Results are sorted alphabetically.",
"operationId": "listModules",
"responses": {
"200": {
"description": "List of modules with their declaration counts",
"content": {
"application/json": {
"schema": {
"type": "array",
"items": { "$ref": "#/components/schemas/ModuleInfo" }
}
}
}
},
"429": { "$ref": "#/components/responses/RateLimitError" }
}
}
},
"/modules/declarations": {
"post": {
"summary": "Get all declarations in a module",
"description": "Fetch all visible declarations belonging to a specific Lean module, ordered by their source position.",
"operationId": "getModuleDeclarations",
"requestBody": {
"required": true,
"content": {
"application/json": {
"schema": {
"$ref": "#/components/schemas/LeanName"
},
"examples": {
"example": {
"value": ["Physlib", "Mechanics"]
}
}
}
}
},
"responses": {
"200": {
"description": "List of declarations in source order; empty array if module not found",
"content": {
"application/json": {
"schema": {
"type": "array",
"items": { "$ref": "#/components/schemas/Declaration" }
}
}
}
},
"422": { "$ref": "#/components/responses/ValidationError" },
"429": { "$ref": "#/components/responses/RateLimitError" }
}
}
},
"/user-feedback": {
"post": {
"summary": "Submit general user feedback",
"description": "Log structured user feedback about the application experience.",
"operationId": "submitUserFeedback",
"requestBody": {
"required": true,
"content": {
"application/json": {
"schema": { "$ref": "#/components/schemas/UserFeedbackRequest" }
}
}
},
"responses": {
"200": {
"description": "Feedback recorded successfully",
"content": {
"application/json": {
"schema": { "type": "null" }
}
}
},
"422": { "$ref": "#/components/responses/ValidationError" },
"429": { "$ref": "#/components/responses/RateLimitError" }
}
}
},
"/feedback": {
"post": {
"summary": "Log result feedback",
"description": "Track user feedback on individual search results (clicks, thumbs up/down). Requires a session cookie set by /search. If cancel is true, the feedback record is deleted (toggle behavior).",
"operationId": "submitResultFeedback",
"parameters": [
{
"name": "session",
"in": "cookie",
"required": true,
"description": "Session UUID set by the /search endpoint",
"schema": { "type": "string", "format": "uuid" }
}
],
"requestBody": {
"required": true,
"content": {
"application/json": {
"schema": { "$ref": "#/components/schemas/ResultFeedbackRequest" }
}
}
},
"responses": {
"200": {
"description": "Feedback recorded (or deleted if cancel=true)",
"content": {
"application/json": {
"schema": { "type": "null" }
}
}
},
"400": {
"description": "Invalid or missing session cookie",
"content": {
"application/json": {
"schema": { "$ref": "#/components/schemas/ErrorDetail" }
}
}
},
"422": { "$ref": "#/components/responses/ValidationError" }
}
}
}
},
"components": {
"schemas": {
"LeanName": {
"type": "array",
"items": { "type": "string" },
"description": "A fully-qualified Lean name represented as an array of namespace segments",
"example": ["Physlib", "Mechanics", "Newton", "secondLaw"]
},
"DeclarationKind": {
"type": "string",
"enum": [
"abbrev",
"axiom",
"classInductive",
"definition",
"example",
"inductive",
"instance",
"opaque",
"structure",
"theorem",
"proofWanted"
],
"description": "The syntactic kind of a Lean declaration"
},
"Declaration": {
"type": "object",
"required": ["module_name", "kind", "name", "signature", "type", "informal_name", "informal_description"],
"properties": {
"module_name": {
"$ref": "#/components/schemas/LeanName",
"description": "The module this declaration belongs to"
},
"kind": { "$ref": "#/components/schemas/DeclarationKind" },
"name": {
"$ref": "#/components/schemas/LeanName",
"description": "The fully-qualified name of the declaration"
},
"signature": {
"type": "string",
"description": "The full Lean signature of the declaration"
},
"type": {
"type": "string",
"description": "The type or sort of the declaration"
},
"value": {
"type": "string",
"nullable": true,
"description": "The implementation or proof body, if available"
},
"docstring": {
"type": "string",
"nullable": true,
"description": "The Lean docstring, if present"
},
"informal_name": {
"type": "string",
"description": "A natural language name generated by Gemini"
},
"informal_description": {
"type": "string",
"description": "A LaTeX-compatible natural language description generated by Gemini"
}
}
},
"QueryResult": {
"type": "object",
"required": ["result", "distance"],
"properties": {
"result": { "$ref": "#/components/schemas/Declaration" },
"distance": {
"type": "number",
"format": "float",
"minimum": 0,
"description": "Cosine distance between the query and result embeddings. Lower values indicate higher relevance."
}
}
},
"ModuleInfo": {
"type": "object",
"required": ["name", "count"],
"properties": {
"name": {
"$ref": "#/components/schemas/LeanName",
"description": "The fully-qualified module name"
},
"count": {
"type": "integer",
"minimum": 1,
"description": "Number of visible declarations with informal descriptions in this module"
}
}
},
"SearchRequest": {
"type": "object",
"required": ["query"],
"properties": {
"query": {
"type": "array",
"items": { "type": "string" },
"minItems": 1,
"description": "One or more natural language search queries"
},
"num_results": {
"type": "integer",
"minimum": 1,
"maximum": 150,
"default": 10,
"description": "Maximum number of results to return per query"
}
}
},
"FetchRequest": {
"type": "object",
"required": ["query"],
"properties": {
"query": {
"type": "array",
"items": { "$ref": "#/components/schemas/LeanName" },
"description": "Array of fully-qualified Lean names to fetch"
}
}
},
"UserFeedbackRequest": {
"type": "object",
"required": ["tab_name", "rating", "feedback_type", "message"],
"properties": {
"tab_name": {
"type": "string",
"description": "The page or section the user is giving feedback on (e.g. \"search\", \"browse\")"
},
"rating": {
"type": "integer",
"minimum": 1,
"maximum": 5,
"description": "Star rating from 1 to 5"
},
"feedback_type": {
"type": "string",
"enum": ["general", "bug", "feature", "improvement"],
"default": "general",
"description": "Category of feedback"
},
"message": {
"type": "string",
"description": "The feedback text"
}
}
},
"ResultFeedbackRequest": {
"type": "object",
"required": ["declaration", "action"],
"properties": {
"declaration": {
"$ref": "#/components/schemas/LeanName",
"description": "The Lean name of the declaration being rated"
},
"action": {
"type": "string",
"description": "The action taken by the user (e.g. \"click\", \"thumbs_up\", \"thumbs_down\")"
},
"cancel": {
"type": "boolean",
"nullable": true,
"default": null,
"description": "If true, deletes the feedback record instead of inserting it (toggle behavior)"
}
}
},
"ErrorDetail": {
"type": "object",
"properties": {
"detail": {
"type": "string",
"description": "Human-readable error description"
}
}
},
"ValidationErrorDetail": {
"type": "object",
"properties": {
"detail": {
"type": "array",
"items": {
"type": "object",
"properties": {
"loc": { "type": "array", "items": {} },
"msg": { "type": "string" },
"type": { "type": "string" }
}
}
}
}
}
},
"responses": {
"ValidationError": {
"description": "Request body failed validation",
"content": {
"application/json": {
"schema": { "$ref": "#/components/schemas/ValidationErrorDetail" }
}
}
},
"RateLimitError": {
"description": "Rate limit exceeded",
"content": {
"application/json": {
"schema": { "$ref": "#/components/schemas/ErrorDetail" },
"example": { "detail": "Rate limit exceeded: 1 per 1 second" }
}
}
}
}
}
}