Extensions of First-Order Logic
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Extensions of First-Order Logic by Maria Manzano
Book DescriptionClassical 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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Book DetailsISBN: 9780521019026
(247mm x 174mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-Aug-2005
Country of Publication: United Kingdom
Books By Author Maria Manzano
Model Theory, Hardback (April 1999)» View all books by Maria Manzano
Logic languages are used in computing. Model theory is the mathematical logic which concerns the relationship between mathematical structures and logic languages. The text includes historical information before each topic is introduced. The motivation of the subject and the proofs are explained.
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