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A Short Introduction to Intuitionistic Logic

Grigori Mints
Livre relié | Anglais | University Mathematics
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Description

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.

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Contenu

Nombre de pages :
131
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9780306463945
Date de parution :
31-10-00
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
174 mm x 219 mm
Poids :
367 g

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