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Extensions of First-Order Logic - Maria Manzano

Extensions of First-Order Logic

(Autor)

Buch | Softcover
412 Seiten
2005
Cambridge University Press (Verlag)
978-0-521-01902-6 (ISBN)
CHF 115,20 inkl. MwSt
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 work.
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.

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.

Erscheint lt. Verlag 22.8.2005
Reihe/Serie Cambridge Tracts in Theoretical Computer Science
Verlagsort Cambridge
Sprache englisch
Maße 170 x 244 mm
Gewicht 645 g
Themenwelt Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-521-01902-8 / 0521019028
ISBN-13 978-0-521-01902-6 / 9780521019026
Zustand Neuware
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