iiRecord
Agentic AI Atlas · counterexample-generator
lib-skill:mathematics--counterexample-generatora5c.ai
II.
LibrarySkill JSON

lib-skill:mathematics--counterexample-generator

Structured · live

counterexample-generator json

Inspect the normalized record payload exactly as the atlas UI reads it.

File · generated-library/skills.yamlCluster · generated-library
Record JSON
{
  "id": "lib-skill:mathematics--counterexample-generator",
  "_kind": "LibrarySkill",
  "_file": "generated-library/skills.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "counterexample-generator",
    "description": "Automated search for counterexamples to mathematical conjectures",
    "libraryPath": "library/specializations/domains/science/mathematics/skills/counterexample-generator/SKILL.md",
    "specialization": "mathematics",
    "contentSummary": "# Counterexample Generator\n\n## Purpose\n\nProvides automated search capabilities for finding counterexamples to mathematical conjectures and validating proof attempts.\n\n## Capabilities\n\n- Random testing with intelligent sampling\n- SMT-based counterexample search\n- Quickcheck-style property t"
  },
  "outgoingEdges": [
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "skill-area:computational-geometry",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "skill-area:graph-algorithms",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "role:research-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:mathematics--counterexample-generator",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    }
  ],
  "incomingEdges": []
}