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Logic for Applications
Anil Nerode, Richard A. Shore (Gebundene Ausgabe, Englisch)
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Beschreibung
In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and… compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
17.01.1997
Sprache
Englisch
EAN
9780387948935
Herausgeber
Springer US
Serien- oder Bandtitel
Texts in Computer Science
Sonderedition
Nein
Autor
Anil Nerode, Richard A. Shore
Seitenanzahl
456
Auflage
2
Einbandart
Gebundene Ausgabe
Schlagwörter
Algorithms, Automat, Syntax, automation, cardinality, cardinals, computability, computer, forcing, predicate logic, programming, proving, semantics, set theory, theorem proving
Thema-Inhalt
UYD - Systemanalyse und -design
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
UYA - Theoretische Informatik
UYQ - Künstliche Intelligenz
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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