Index Table of Contents

ICL.Base

  • Base Library for ICL
  • De Morgan laws
  • Size recursion
  • Iteration
  • Decidability
  • Lists
  • Decidability laws for lists
  • Membership
  • Disjointness
  • Inclusion
  • Setoid rewriting with list inclusion and list equivalence
  • Equivalence
  • Filter
  • Element removal
  • Cardinality
  • Duplicate-free lists
  • Power lists
  • Finite closure iteration
  • Deprecated names, defined for backward compatibilitly

ICL.PropL

  • Formulas and contexts
  • Assignments and Satisfaction
  • Generic Entailment Relations
  • Intuitionistic system
  • Classical system
  • Glivenko's theorem
  • Intuitionistic Hilbert system

ICL.ctab

  • Boolean satisfaction
  • Validity and boolean entailment
  • Signed formulas and clauses
  • Solved Clauses
  • Refutation predicates
  • Decision trees
  • Refutation lemma
  • Decidability of classical ND entailment
  • Agreement of classical ND entailment with boolean entailment

ICL.Gentzen