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Extensions of First-Order Logic
Paperback
Series: Cambridge Tracts in Theoretical Computer Science, Book 19
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ISBN10: 0521019028
ISBN13: 9780521019026
Publisher: Cambridge University Press
Published: Aug 22 2005
Pages: 412
Weight: 1.44
Height: 0.84 Width: 6.69 Depth: 9.61
Language: English
ISBN13: 9780521019026
Publisher: Cambridge University Press
Published: Aug 22 2005
Pages: 412
Weight: 1.44
Height: 0.84 Width: 6.69 Depth: 9.61
Language: English
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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