Symbolic Logic and Mechanical Theorem Proving

Author: Chin-Liang Chang
Publisher: Academic Press
ISBN: 0080917283
Format: PDF
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This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.

Logic for Computer Science

Author: Jean H. Gallier
Publisher: Courier Dover Publications
ISBN: 0486780821
Format: PDF, Mobi
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This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.

Logic for Computer Scientists

Author: Uwe Schöning
Publisher: Springer Science & Business Media
ISBN: 0817647635
Format: PDF
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This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.

Computability Complexity and Languages

Author: Martin D. Davis
Publisher: Academic Press
ISBN: 1483264580
Format: PDF, Kindle
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Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science provides an introduction to the various aspects of theoretical computer science. Theoretical computer science is the mathematical study of models of computation. This text is composed of five parts encompassing 17 chapters, and begins with an introduction to the use of proofs in mathematics and the development of computability theory in the context of an extremely simple abstract programming language. The succeeding parts demonstrate the performance of abstract programming language using a macro expansion technique, along with presentations of the regular and context-free languages. Other parts deal with the aspects of logic that are important for computer science and the important theory of computational complexity, as well as the theory of NP-completeness. The closing part introduces the advanced recursion and polynomial-time computability theories, including the priority constructions for recursively enumerable Turing degrees. This book is intended primarily for undergraduate and graduate mathematics students.

The Efficiency of Theorem Proving Strategies

Author: David A. Plaisted
Publisher: Springer Science & Business Media
ISBN: 3663078477
Format: PDF, Docs
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Dieses Buch in englischer Sprache widmet sich dem Thema der Effizienz von Beweisstrategien und bietet eine vergleichende und asymptotische Analyse. Das Werk stellt erstmalig asymptotische Schranken für die Größe der von vielen gebräuchlichen Beweisstrategien erzeugten Suchfelder bereit. Auf diese Weise erlaubt es ein theoretisches Verständnis der Effizienz unterschiedlicher Beweisverfahren. Es wird ein fundamental neues Werkzeug für den Effizienzvergleich von Beweisstrategien bereitgestellt. Die zweite Auflage wurde gegenüber der ersten leicht verbessert, neuere Literaturhinweise zudem berücksichtigt. This book is unique in that it gives asymptotic bounds on the sizes of the search spaces generated by many common theorem proving strategies. Thus it permits one to gain a theoretical unterstanding of the efficiencies of many different theorem proving methods. This is a fundamental new tool in the comparative study of theorem proving strategies.

First Order Logic and Automated Theorem Proving

Author: Melvin Fitting
Publisher: Springer Science & Business Media
ISBN: 9780387945934
Format: PDF, Mobi
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This graduate-level text presents fundamental concepts and results of classical logic in a mathematical style. Applications to automated theorem proving are considered and usable Prolog programs provided. It should serve both as a first text in formal logic and an introduction to automation issues for students in computer science or mathematics.