ENGLISH

Extensions of First-Order Logic

By María Manzano

Book information

Publisher
Cambridge University Press
Year
2005
ISBN
0521019028, 9780521019026
Language
english
Format
PDF
Filesize
16 MB (16324138 bytes)
Series
Cambridge Tracts in Theoretical Computer Science
Pages
412\414
Topic
Mathematics Logic
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2015-06-09 21:23:34

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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