Bergmann M., Moor J., Nelson J. The Logic Book

Academic Press, 1993. - 253 Pages. Deduction: Automated Logic presents the broad topic of automated deductive reasoning in a concise and comprehensive manner. This book features broad coverage of deductive methods on the level of propositional and first-order logic, the strategic aspects of automated deduction, the applications of deduction mechanisms to a range of different areas, and their realization in concrete systems. This book can be use...

Routledge, 1999. - 128 pages. First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of. * Logic: Argument, Turing Machine, Variable. * Set and model theory: Isomorphism, Function. * Computability theory: Algor...

Prentice Hall, 2002. - 341 Pages. This book invites the reader to explore abstractions that are crucial to computer science. The authors bring a sense of excitement to logics, formal languages and automata-motivating topics by linking them to computing and to computational applications, sometime with whole chapters. They achieve exceptional clarity through a plethora of examples and figures, yet without-losing sight of, and indeed celebrating, t...

AK Pеters, 2005. - 896 pages. This introductory graduate text covers modern mathematical logic from propositional, first-order, higher-order and infinitary logic and G?del’s Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author’s more than 35 years of teaching experience, the book develops students’ intuition by presenting complex ideas in the simplest context f...

Chapman & Hall/CRC, 1997. - 456 pages. The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and a...

Our motivation for (re)writing this book One of the leitmotifs of writing the first edition of our book was the observation that most logics used in the design, specification and verification of computersystems fundamentally deal with a satisfaction relation M ? where M is some sort of situation or model of a system, and ? is a specification, a formula of that logic, expressing what should be true in situation M. At the heart of this set-up is th...

Издательство Springer, 1997, -248 pp. One of the most interesting recent developments within the field of automated deduction is inductive logic programming, an area that combines logic programming with machine learning. Within a short time this area has grown to an impressive field, rich in spectacular applications and full of techniques calling for new theoretical insights. This is the first book that provides a systematic introduction to the...

Springer, 2006. - 260 pages. Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguisti...

AK Pеters/CRС Prеss, 2001. - 356 pages. This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible f...

AK Peters, 2009. - 275 pages. This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the author introduces the readers to informal reasoning preparing them for...