Extensions of first order logic
著者
書誌事項
Extensions of first order logic
（Cambridge tracts in theoretical computer science, 19）
Cambridge University Press, 2005, c1996
- : pbk
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注記
"First published 1996, This digitally printed first paperback version 2005"--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 1. Standard second order logic
- 2. Deductive calculi
- 3. Categoricity of second order peano arithmetic
- 4. Frames and general structures
- 5. Type theory
- 6. Many-sorted logic
- 7. Applying MSL.
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