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name: isabelle-hol-interface description: Interface with Isabelle/HOL for classical mathematics formalization allowed-tools:

• Bash
• Read
• Write
• Edit
• Glob
• Grep metadata: specialization: mathematics domain: science category: theorem-proving phase: 6 graph: domains: [domain:mathematics] specializations: [specialization:computational-mathematics] skillAreas: [skill-area:mathematical-reasoning, skill-area:compiler-implementation, skill-area:language-design] workflows: [workflow:experiment-design] roles: [role:computational-scientist, role:research-scientist]

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Isabelle/HOL Interface

Purpose

Provides expert guidance on using Isabelle/HOL for classical mathematics formalization and theorem proving.

Capabilities

• Isar structured proof generation
• Sledgehammer automated theorem proving
• Archive of Formal Proofs access
• Locales and type classes
• Code generation to SML/Haskell

Usage Guidelines

1. Isar Proofs: Write structured proofs with have/show/proof
2. Automation: Use Sledgehammer for ATP assistance
3. Libraries: Access AFP for reusable formalizations
4. Abstraction: Use locales for modular theories

Tools/Libraries

• Isabelle
• Archive of Formal Proofs (AFP)
• Sledgehammer ATPs
• Isabelle/jEdit