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 : 67. 90 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.

First Order Logic And Automated Theorem Proving

Author : Melvin Fitting
ISBN : 0387945938
Genre : Computers
File Size : 50. 40 MB
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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.

Logic For Computer Science

Author : Jean H. Gallier
ISBN : 9780486780825
Genre : Computers
File Size : 64. 23 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 : 37. 17 MB
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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.

Automated Theorem Proving A Logical Basis

Author : D.W. Loveland
ISBN : 9781483296777
Genre : Computers
File Size : 90. 80 MB
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Automated Theorem Proving: A Logical Basis

Automated Theorem Proving

Author : W. W. Bledsoe
ISBN : 9780821850275
Genre : Mathematics
File Size : 41. 98 MB
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Subject Guide To Books In Print 1997 98

Author : R R Bowker Publishing
ISBN : 0835239608
Genre : Bibliography, National
File Size : 46. 74 MB
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A Computational Logic Handbook

Author : Robert S. Boyer
ISBN : 9781483277783
Genre : Mathematics
File Size : 68. 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 Scientists

Author : Uwe Schöning
ISBN : 9780817647636
Genre : Mathematics
File Size : 85. 88 MB
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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.

Mathematics For Computer Science

Author : Eric Lehman
ISBN : 9888407066
Genre :
File Size : 27. 27 MB
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This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

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