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  • 1
    Online Resource
    Online Resource
    Amsterdam ; New York : Elsevier
    UID:
    b3kat_BV036962279
    Format: 1 Online-Ressource (xvii, 277 p.) , ill , 23 cm
    Edition: 1st ed
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444506209 , 9780444506207
    Series Statement: Studies in logic and the foundations of mathematics v. 146
    Note: Includes bibliographical references (p. [269]-273) and index
    Additional Edition: Reproduktion von Arnold, André, 1945- Rudiments of [mu]-calculus 2001
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Book
    Book
    Amsterdam [u.a.] :Elsevier,
    UID:
    almafu_BV013949214
    Format: XVII, 277 S.
    Edition: 1. ed.
    ISBN: 0-444-50620-9
    Series Statement: Studies in logic and the foundations of mathematics 146
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Language: English
    Subjects: Computer Science , Mathematics
    RVK:
    RVK:
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    UID:
    almahu_9947367706002882
    Format: 1 online resource (297 p.)
    Edition: 1st ed.
    ISBN: 1-281-51374-1 , 9786611513740 , 0-08-051645-9 , 0-585-47433-8
    Series Statement: Studies in logic and the foundations of mathematics, v. 146
    Content: This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially
    Note: Description based upon print version of record. , Cover; Copyright; Dedication; Preface; Table of Contents; Chapter 1. Complete lattices and fixed-point theorems; 1.1 Complete lattices; 1.2 Fixed-point theorems; 1.3 Some properties of fixed points; 1.4 Fixed points on product lattices; 1.5 Conway identities; 1.6 Bibliographical notes and sources; Chapter 2. The μ-calculi: Syntax and semantics; 2.1 μ-calculi; 2.2 Functional μ-calculi; 2.3 Fixed-point terms; 2.4 Quotient μ-calculi; 2.5 Powerset interpretations; 2.6 Alternation-depth hierarchy; 2.7 Vectorial μ-calculi; 2.8 Bibliographic notes and sources; Chapter 3. The Boolean μ-calculus , 3.1 Monotone Boolean functions3.2 Powerset interpretations and the Boolean μ-calculus; 3.3 The selection property; 3.4 Bibliographic notes and sources; Chapter 4. Parity games; 4.1 Games and strategies; 4.2 Positional strategies; 4.3 The μ-calculus of games; 4.4 Games for the μ-calculus; 4.5 Weak parity games; 4.6 Bibliographic notes and sources; Chapter 5. The μ-calculus on words; 5.1 Rational languages; 5.2 Nondeterministic automata; 5.3 Terms with intersection; 5.4 Bibliographic notes and sources; Chapter 6. The μ-calculus over powerset algebras; 6.1 Powerset algebras; 6.2 Modal μ-calculus , 6.3 Homomorphisms, μ-homomorphisms, and bisimulations6.4 Bibliographic notes and sources; Chapter 7. The μ-calculus vs. automata; 7.1 Automata over semi-algebras; 7.2 Automata in the μ-calculus perspective; 7.3 Equivalences; 7.4 Bibliographic notes and sources; Chapter 8. Hierarchy problems; 8.1 Introduction; 8.2 The hierarchy of alternating parity tree automata; 8.3 Weak alternating automata; 8.4 Bibliographic notes and sources; Chapter 9. Distributivity and normal form results; 9.1 The propositional μ-calculus; 9.2 Guarded terms; 9.3 Intersection-free terms; 9.4 The powerset construction , 9.5 The vμ case9.6 The simulation theorem; 9.7 Bibliographic notes and sources; Chapter 10. Decision problems; 10.1 Disjunctive mappings; 10.2 Decidability of emptiness for disjunctive μ-terms; 10.3 The regularity theorem; 10.4 The satisfiability over powerset algebras; 10.5 Bibliographic notes and sources; Chapter 11. Algorithms; 11.1 Evaluation of vectorial fixed-point terms; 11.2 Winning positions and winning strategies; 11.3 Bibliographic notes and sources; Bibliography; Index , English
    Additional Edition: ISBN 0-444-50620-9
    Language: English
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  • 4
    UID:
    gbv_1684905141
    Format: Online-Ressource , xvii, 277 p , ill , 23 cm
    Edition: 1st ed
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0444506209 , 9780444506207
    Series Statement: Studies in logic and the foundations of mathematics v. 146
    Note: Includes bibliographical references (p. [269]-273) and index
    Additional Edition: Erscheint auch als Druck-Ausgabe Arnold, André Rudiments of [my]-calculus Amsterdam [u.a.] : Elsevier, 2001 ISBN 0444506209
    Language: English
    Subjects: Computer Science , Mathematics
    RVK:
    RVK:
    Keywords: Datenverarbeitung ; Mathematische Logik
    URL: Volltext  (Deutschlandweit zugänglich)
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