Fundamentals of Logic and Computation

Lieferzeit: Lieferbar innerhalb 14 Tagen

64,19 

With Practical Automated Reasoning and Verification, Texts in Computer Science

ISBN: 3030878848
ISBN 13: 9783030878849
Autor: Hou, Zhe
Verlag: Springer Verlag GmbH
Umfang: x, 222 S., 28 s/w Illustr., 6 farbige Illustr., 222 p. 34 illus., 6 illus. in color.
Erscheinungsdatum: 05.12.2022
Auflage: 1/2022
Produktform: Kartoniert
Einband: Kartoniert

Although the fields of logic and computation are intrinsically related, most courses treat the two topics separately. This unique textbook aims to compress and unify important concepts of logical reasoning and computational theory, facilitating an in-depth understanding.Delivering theory with practical approaches, the book features early chapters accompanied by exercises in Isabelle/HOL, a popular and user-friendly theorem prover. Latter chapters address modelling and verification in Process Analysis Toolkit (PAT), a feature-rich model checker based on Hoare’s Communicating Sequential Processes. The exposition focuses on the syntax, semantics and proof theory of various logics, as well as on automata theory, formal languages, computability, and complexity. It also builds a hybrid skill set of practical theorem proving and model checking, which will provide a solid grounding for future research or work involving formal methods.Topics and features: Offers a transition from logic to computation via linear temporal logic and state machines Includes exercises from widelyused software applications Provides entrylevel tutorials for Isabelle/HOL and PAT Employs many examples from the Archives of Formal Proofs, as well as many examples of PAT models Introduces classical and nonclassical logics in an integrated presentation Discusses lambda calculus, recursive functions and Turing machines Concludes by addressing the CurryHoward correspondence, which unifies logic and computation The work is optimal for undergraduate students striving for a degree in computer science. In addition, it will be an excellent foundational volume for research students considering higher-degree research programs. Zhe Hou is a lecturer in the School of Information and Communication Technology at Griffith University, Nathan, Australia. His research pursuits include explainable AI, autonomous systems, formal verification, and automated reasoning.

Artikelnummer: 7411566 Kategorie:

Beschreibung

This textbook aims to help the reader develop an in-depth understanding of logical reasoning and gain knowledge of the theory of computation. The book combines theoretical teaching and practical exercises; the latter is realised in Isabelle/HOL, a modern theorem prover, and PAT, an industry-scale model checker. I also give entry-level tutorials on the two software to help the reader get started. By the end of the book, the reader should be proficient in both software. Content-wise, this book focuses on the syntax, semantics and proof theory of various logics; automata theory, formal languages, computability and complexity. The final chapter closes the gap with a discussion on the insight that links logic with computation. This book is written for a high-level undergraduate course or a Master's course. The hybrid skill set of practical theorem proving and model checking should be helpful for the future of readers should they pursue a research career or engineering informal methods.

Autorenporträt

Zhe Hou is a lecturer in the School of Information and Communication Technology at Griffith University, Nathan, Australia. His research pursuits include explainable AI, autonomous systems, formal verification, and automated reasoning.

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E-Mail: juergen.hartmann@springer.com

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