ENGLISH

A Short Introduction to Intuitionistic Logic (University Series in Mathematics)

By Grigori Mints

Book information

Year
2000
ISBN
0306463946, 9780306469756, 9780306463945
LCC
QA9.47 .M56 2000
Open Library ID
OL19142315M
Language
english
Format
PDF
Filesize
3 MB (2643061 bytes)
Edition
1
Pages
142\142
Scanned
no
Time added
2011-06-04 13:46:07

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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