The Isabelle2009 Library

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• Higher-Order Logic
• • HOL (Higher-Order Logic) is a version of classical higher-order logic resembling that of the HOL System.
  • HOLCF (Higher-Order Logic of Computable Functions) adds Scott's Logic for Computable Functions (domain theory) to HOL.

• First-Order Logic
• • FOL (Many-sorted First-Order Logic) provides basic classical and intuitionistic first-order logic. It is polymorphic.
  • ZF (Set Theory) offers a formulation of Zermelo-Fraenkel set theory on top of FOL.
  • CCL (Classical Computational Logic)
  • LCF (Logic of Computable Functions)
  • FOLP (FOL with Proof Terms)

• Miscellaneous
• • Sequents (first-order, modal and linear logics)
  • CTT (Constructive Type Theory) is an extensional version of Martin-Löf's Type Theory.
  • Cube (The Lambda Cube)