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Computability
George Tourlakis (Gebundene Ausgabe, Englisch)
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Beschreibung
This survey of computability theory offers the techniques and tools that computer scientists (as well as mathematicians and philosophers studying the mathematical foundations of computing) need to mathematically analyze computational processes and investigate the theoretical limitations of computing. Beginning with an introduction to the mathematisation of “mechanical process” using URM programs,… this textbook explains basic theory such as primitive recursive functions and predicates and sequence-coding, partial recursive functions and predicates, and loop programs. Advanced chapters cover the Ackerman function, Tarski’s theorem on the non-representability of truth, Goedel’s incompleteness and Rosser’s incompleteness theorems, two short proofs of the incompleteness theorem that are based on Lob's deliverability conditions, Church’s thesis, the second recursion theorem and applications, a provably recursive universal function for the primitive recursive functions, Oraclecomputations and various classes of computable functionals, the Arithmetical hierarchy, Turing reducibility and Turing degrees and the priority method, a thorough exposition of various versions of the first recursive theorem, Blum’s complexity, Hierarchies of primitive recursive functions, and a machine-independent characterisation of Cobham's feasibly computable functions. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
03.08.2022
Sprache
Englisch
EAN
9783030832018
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
George Tourlakis
Seitenanzahl
637
Auflage
1
Einbandart
Gebundene Ausgabe
Autorenporträt
George Tourlakis, PHD, is University Professor of Computer Science and Engineering at York University in Toronto, Canada. He has published extensively in his areas of research interest, which include calculational logic, modal logic, computability, and complexity theory. Dr. Tourlakis is the author of
Schlagwörter
recursive functions, formal definability, recursion theorem, diagonalisation, strong reducibility, loop programs, Kleene predicate, Turing reducibility, Register machine, Church’s thesis, Goedel incompleteness, Rosser incompleteness, Tarski’s theorem, Ackermann function, (Unbounded) Register Machine (URM)
Thema-Inhalt
UYA - Theoretische Informatik
PBCD - Mathematik: Logik
QD - Philosophie
TB - Technologie, allgemein
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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