symbolic logic and mechanical theorem proving computer science and applied mathematics

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Symbolic Logic And Mechanical Theorem Proving

Author : Chin-Liang Chang
ISBN : 9780080917283
Genre : Computers
File Size : 47. 10 MB
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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.

A Computational Logic Handbook

Author : Robert S. Boyer
ISBN : 9781483277783
Genre : Mathematics
File Size : 62. 41 MB
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Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.

Logic For Computer Science

Author : Jean H. Gallier
ISBN : 9780486780825
Genre : Computers
File Size : 51. 16 MB
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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.

Computability Complexity And Languages

Author : Martin D. Davis
ISBN : 9781483264585
Genre : Reference
File Size : 41. 15 MB
Format : PDF
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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
ISBN : 9783663078470
Genre : Computers
File Size : 85. 20 MB
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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.

Text Understanding In Lilog

Author : Otthein Herzog
ISBN : 3540545948
Genre : Computers
File Size : 88. 78 MB
Format : PDF, ePub
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The IBM project LILOG is presented in this book. The project started in 1985 and led in 1991 to a functional knowledge base with a natural language user interface. The project involved 200 scientists from universities and industry.

Completeness Confluence And Related Properties Of Clause Graph Resolution

Author : Norbert Eisinger
ISBN : UCAL:B4495256
Genre : Computers
File Size : 48. 42 MB
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First Order Logic And Automated Theorem Proving

Author : Melvin Fitting
ISBN : 0387945938
Genre : Computers
File Size : 40. 86 MB
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Propositional logic - Semantic tableaux and resolution - Other propositional proof procedures - First-order logic - First-order proof procedures - Implementing tableaux and resolution - Further first-order features - Equality.

Theorem Proving Systems

Author : Ewa Ortowska
ISBN : STANFORD:36105033258075
Genre : Automatic theorem proving
File Size : 88. 86 MB
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Proof Theory And Automated Deduction

Author : Jean Goubault-Larrecq
ISBN : 1402003684
Genre : Computers
File Size : 86. 15 MB
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Proof Theory and Automated Deduction is written for final-year undergraduate and first-year post-graduate students. It should also serve as a valuable reference for researchers in logic and computer science. It covers basic notions in logic, with a particular stress on proof theory, as opposed to, for example, model theory or set theory; and shows how they are applied in computer science, and especially the particular field of automated deduction, i.e. the automated search for proofs of mathematical propositions. We have chosen to give an in-depth analysis of the basic notions, instead of giving a mere sufficient analysis of basic and less basic notions. We often derive the same theorem by different methods, showing how different mathematical tools can be used to get at the very nature of the objects at hand, and how these tools relate to each other. Instead of presenting a linear collection of results, we have tried to show that all results and methods are tightly interwoven. We believe that understanding how to travel along this web of relations between concepts is more important than just learning the basic theorems and techniques by rote. Audience: The book is a valuable reference for researchers in logic and computer science.

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