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 : 82. 11 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.

Automatische Synthese Rekursiver Programme Als Beweisverfahren

Author : Susanne Biundo
ISBN : 9783642847448
Genre : Computers
File Size : 68. 59 MB
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Logic For Computer Science

Author : Jean H. Gallier
ISBN : 9780486780825
Genre : Computers
File Size : 87. 10 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 : 67. 4 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

Author : W. W. Bledsoe
ISBN : 9780821850275
Genre : Mathematics
File Size : 34. 70 MB
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Kiss 88

Author : Hartmut Dörner
ISBN : 3860102192
Genre : Computers
File Size : 29. 80 MB
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A Computational Logic Handbook

Author : Robert S. Boyer
ISBN : 9781483277783
Genre : Mathematics
File Size : 34. 43 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.

Deduction Systems In Artificial Intelligence

Author : Karl Hans Bläsius
ISBN : UOM:39015013480127
Genre : Computers
File Size : 44. 67 MB
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9th International Conference On Automated Deduction

Author : Ewing Lusk
ISBN : 354019343X
Genre : Computers
File Size : 81. 71 MB
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This volume contains the papers presented at the Ninth International Conference on Automated Deduction (CADE-9) held May 23-26 at Argonne National Laboratory, Argonne, Illinois. The conference commemorates the twenty-fifth anniversary of the discovery of the resolution principle, which took place during the summer of 1963. The CADE conferences are a forum for reporting on research on all aspects of automated deduction, including theorem proving, logic programming, unification, deductive databases, term rewriting, ATP for non-standard logics, and program verification. All papers submitted to the conference were refereed by at least two referees, and the program committee accepted the 52 that appear here. Also included in this volume are abstracts of 21 implementations of automated deduction systems.

Subject Guide To Books In Print 1997 98

Author : R R Bowker Publishing
ISBN : 0835239608
Genre : Bibliography, National
File Size : 72. 75 MB
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