II.
LibraryProcess overview
Reference · livelib-process:mathematics--theorem-proof-verification
theorem-proof-verification overview
Formal verification of mathematical proofs using proof assistants (Lean, Coq, Isabelle). Includes translating informal proofs into formal systems, checking logical consistency, and identifying gaps in reasoning.
Attributes
displayName
theorem-proof-verification
description
Formal verification of mathematical proofs using proof assistants (Lean, Coq, Isabelle).
Includes 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/ - Coq Proof Assistant: https://coq.inria.fr/ - Isabelle: https://isabelle.in.tum.de/ - Mathematical Components: https://math-comp.github.io/
example
const result = await orchestrate('specializations/domains/science/mathematics/theorem-proof-verification', {
theoremStatement: 'For all natural numbers n, n^2 + n is even',
proofContent: 'Consider n^2 + n = n(n+1). Since n and n+1 are consecutive integers, one must be even...',
proofAssistant: 'lean',
targetFormalism: 'lean4'
});
usesAgents
- proof-strategist
- theorem-prover-expert
- conjecture-analyst
Outgoing edges
lib_applies_to_domain1
- domain:mathematics·DomainMathematics
lib_belongs_to_specialization2
- specialization:computational-mathematics·SpecializationComputational Mathematics
- specialization:mathematics·SpecializationMathematics
lib_implements_workflow1
- workflow:experiment-design·WorkflowExperiment Design
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent3
- lib-agent:mathematics--proof-strategist·LibraryAgentproof-strategist
- lib-agent:mathematics--theorem-prover-expert·LibraryAgenttheorem-prover-expert
- lib-agent:mathematics--conjecture-analyst·LibraryAgentconjecture-analyst
Incoming edges
None.