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  • 1
    ISBN: 9783031420344
    Language: English
    Pages: 1 Online-Ressource(XXXIII, 461 p. 31 illus.)
    Edition: 1st ed. 2023.
    Series Statement: Intelligent Systems Reference Library 245
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Engineering ; Computational intelligence. ; Artificial intelligence. ; Computer science.
    Abstract: Introduction: Prerequisites -- Sentential Logic -- Rudiments of First-order Logic -- Modal and Intuitionistic Logics -- Temporal Logics for linear and branching time and model checking -- Finitely and innitely valued logics -- Logics for programs and knowledge -- Beyond FO within SO.
    Abstract: The book gives all interested in computer science, a deep review of relevant aspects of logic. In its scope are classical and non-classical logics. The content will be valid as well for those interested in linguistic, philosophy and many other areas of research both in humane and technical branches of science as logic permeates all genuine realms of science. The book contains a substantial part of classical results in logic like those by Gödel, Tarski, Church and Rosser as well as later developments like many-valued logics, logics for knowledge engineering, first-order logics plus inductive definitions. The exposition is rigorous yet without unnecessary abstractionism, so it should be accessible to readers from many disciplines of science. Each chapter contains a problem section, and problems are borrowed from research publications which allows for passing additional information, and it allows readers to test their skills. Extensive bibliography of 270 positions directs readers to research works of importance.
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  • 2
    Online Resource
    Online Resource
    Cham : Springer International Publishing | Cham : Imprint: Springer
    ISBN: 9783030916800
    Language: English
    Pages: 1 Online-Ressource(XVIII, 362 p. 31 illus.)
    Edition: 1st ed. 2022.
    Series Statement: Studies in Computational Intelligence 992
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Computational intelligence. ; Engineering—Data processing. ; Artificial intelligence.
    Abstract: Propositional logic -- First-order logic -- Propositional modal logic -- Epistemic, default and dynamic logics -- Temporal logics -- Many-valued logics -- Approximate reasoning: Rough logics -- Beyond frst-order logics.
    Abstract: This volume offers the reader a systematic and throughout account of branches of logic instrumental for computer science, data science and artificial intelligence. Addressed in it are propositional, predicate, modal, epistemic, dynamic, temporal logics as well as applicable in data science many-valued logics and logics of concepts (rough logics). It offers a look into second-order logics and approximate logics of parts. The book concludes with appendices on set theory, algebraic structures, computability, complexity, MV-algebras and transition systems, automata and formal grammars. By this composition of the text, the reader obtains a self-contained exposition that can serve as the textbook on logics and relevant disciplines as well as a reference text. .
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