Fundamentals of Logic and Computation: With Practical Automated Reasoning and Verification

by Zhe Hou

Overview

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.

Product Details

ISBN-13:	9783030878818
Publisher:	Springer International Publishing
Publication date:	12/04/2021
Series:	Texts in Computer Science
Edition description:	1st ed. 2021
Pages:	222
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

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.

Table of Contents

1. Introduction to Logic.- 2. First-order Logic.- 3. Non-classical Logics.- 4. Automata Theory and Formal Languages.- 5. Turing Machines and Computability.- 6. Logic is Computation.