A short introduction to intuitionistic logic
Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs.
Print Book, English, cop. 2000
Kluwer Academic/Plenum, New York, cop. 2000
ix, 131 p.
9780306463945, 0306463946
645136997
Intuitionistic Predicate Logic.- Natural Deduction System NJ.- Kripke Models for Predicate Logic.- Systems LJm, LJ.- Proof-Search in Predicate Logic.- Preliminaries.- Natural Deduction for Propositional Logic.- Negative Translation: Glivenko’s Theorem.- Program Interpretation of Intuitionistic Logic.- Computations with Deductions.- Coherence Theorem.- Kripke Models.- Gentzen-type Propositional System LJpm.- Topological Completeness.- Proof-search.- System LJp.- Interpolation Theorem.