{
  "id": "lib-process:mathematics--theorem-proof-verification",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "theorem-proof-verification",
    "description": "Formal verification of mathematical proofs using proof assistants (Lean, Coq, Isabelle).\nIncludes translating informal proofs into formal systems, checking logical consistency, and identifying gaps in reasoning.",
    "libraryPath": "library/specializations/domains/science/mathematics/theorem-proof-verification.js",
    "specialization": "mathematics",
    "references": [
      "- Lean Prover: https://leanprover.github.io/\n- Coq Proof Assistant: https://coq.inria.fr/\n- Isabelle: https://isabelle.in.tum.de/\n- Mathematical Components: https://math-comp.github.io/"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/theorem-proof-verification', {\n  theoremStatement: 'For all natural numbers n, n^2 + n is even',\n  proofContent: 'Consider n^2 + n = n(n+1). Since n and n+1 are consecutive integers, one must be even...',\n  proofAssistant: 'lean',\n  targetFormalism: 'lean4'\n});",
    "usesAgents": [
      "proof-strategist",
      "theorem-prover-expert",
      "conjecture-analyst"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "lib-agent:mathematics--proof-strategist",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "lib-agent:mathematics--theorem-prover-expert",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    },
    {
      "from": "lib-process:mathematics--theorem-proof-verification",
      "to": "lib-agent:mathematics--conjecture-analyst",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}