TY - BOOK ID - 16806383 TI - A short introduction to intuitionistic logic PY - 2000 SN - 0306463946 9786610205509 1280205504 0306469758 9780306463945 PB - New York : Kluwer Academic / Plenum Publishers, DB - UniCat KW - Intuitionistic mathematics. KW - Mathematics. KW - Logic. KW - Computer science KW - Mathematical logic. KW - Mathematical Logic and Foundations. KW - Mathematics of Computing. KW - Logic, Symbolic and mathematical. KW - Computer science. KW - Intuitionistic mathematics KW - Computer science—Mathematics. KW - Constructive mathematics KW - Mathematics KW - Argumentation KW - Deduction (Logic) KW - Deductive logic KW - Dialectic (Logic) KW - Logic, Deductive KW - Intellect KW - Philosophy KW - Psychology KW - Science KW - Reasoning KW - Thought and thinking KW - Algebra of logic KW - Logic, Universal KW - Mathematical logic KW - Symbolic and mathematical logic KW - Symbolic logic KW - Algebra, Abstract KW - Metamathematics KW - Set theory KW - Syllogism KW - Methodology UR - https://www.unicat.be/uniCat?func=search&query=sysid:16806383 AB - Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999. ER -