ENGLISH

Extensions of first order logic

Book information

Publisher
Cambridge University Press
Year
1996
ISBN
0-521-35435-8, 9780521354356
Language
english
Format
DJVU
Filesize
5 MB (5711431 bytes)
Series
Cambridge Tracts in Theoretical Computer Science
Pages
414\414
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

Description

Classical logic has proved inadequate in various areas of computer science, artificial intelligence, mathematics, philosopy and linguistics. This is an introduction to extensions of first-order logic, based on the principle that many-sorted logic (MSL) provides a unifying framework in which to place, for example, second-order logic, type theory, modal and dynamic logics and MSL itself. The aim is two fold: only one theorem-prover is needed; proofs of the metaproperties of the different existing calculi can be avoided by borrowing them from MSL. To make the book accessible to readers from different disciplines, whilst maintaining precision, the author has supplied detailed step-by-step proofs, avoiding difficult arguments, and continually motivating the material with examples. Consequently this can be used as a reference, for self-teaching or for first-year graduate courses

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