{
  "id": "lib-process:mathematics--conjecture-exploration",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "specializations/domains/science/mathematics/conjecture-exploration",
    "description": "Systematic exploration and testing of mathematical conjectures through computational experiments.\nGenerates test cases, searches for counterexamples, and identifies patterns supporting or refuting conjectures.",
    "libraryPath": "library/specializations/domains/science/mathematics/conjecture-exploration.js",
    "specialization": "mathematics",
    "references": [
      "- Experimental Mathematics: https://www.expmath.org/",
      "- OEIS (Online Encyclopedia of Integer Sequences): https://oeis.org/",
      "- Wolfram MathWorld: https://mathworld.wolfram.com/"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/conjecture-exploration', {\n  conjectureStatement: 'Every even number greater than 2 can be expressed as the sum of two primes',\n  parameterSpace: { min: 4, max: 10000, step: 2 },\n  testingStrategy: 'exhaustive',\n  maxIterations: 5000\n});",
    "usesAgents": [
      "conjecture-analyst",
      "proof-strategist"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "lib-agent:mathematics--conjecture-analyst",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    },
    {
      "from": "lib-process:mathematics--conjecture-exploration",
      "to": "lib-agent:mathematics--proof-strategist",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}