Author: D.W. LovelandPublisher: Elsevier
ISBN: 1483296776
Category : Computers
Languages : en
Pages : 419
Book Description
Automated Theorem Proving: A Logical Basis
Automated Theorem Proving: A Logical Basis
Author: D.W. LovelandPublisher: Elsevier
ISBN: 1483296776
Category : Computers
Languages : en
Pages : 419
Book Description
Automated Theorem Proving: A Logical Basis
Logic for Computer Science
Author: Jean H. GallierPublisher: Courier Dover Publications
ISBN: 0486780821
Category : Mathematics
Languages : en
Pages : 532
Book Description
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.
The Automation of Proof
Author: Donald A. MacKenziePublisher:
ISBN:
Category : Automatic theorem proving
Languages : en
Pages : 60
Book Description
Principia Mathematica
Author: Alfred North WhiteheadPublisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688
Book Description
Handbook of Practical Logic and Automated Reasoning
Author: John HarrisonPublisher: Cambridge University Press
ISBN: 0521899575
Category : Computers
Languages : en
Pages : 703
Book Description
A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
A Computational Logic
Author: Robert S. BoyerPublisher: Academic Press
ISBN: 1483277887
Category : Mathematics
Languages : en
Pages : 414
Book Description
ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.
Symbolic Logic and Mechanical Theorem Proving
Author: Chin-Liang ChangPublisher: Academic Press
ISBN: 0080917283
Category : Mathematics
Languages : en
Pages : 349
Book Description
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 FittingPublisher: Springer Science & Business Media
ISBN: 1468403575
Category : Mathematics
Languages : en
Pages : 258
Book Description
There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but not incompleteness issues. The first item to be addressed is, what are we talking about and why are we interested in it. We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self-evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.
Handbook of Knowledge Representation
Author: Frank van HarmelenPublisher: Elsevier
ISBN: 0080557023
Category : Computers
Languages : en
Pages : 1035
Book Description
Handbook of Knowledge Representation describes the essential foundations of Knowledge Representation, which lies at the core of Artificial Intelligence (AI). The book provides an up-to-date review of twenty-five key topics in knowledge representation, written by the leaders of each field. It includes a tutorial background and cutting-edge developments, as well as applications of Knowledge Representation in a variety of AI systems. This handbook is organized into three parts. Part I deals with general methods in Knowledge Representation and reasoning and covers such topics as classical logic in Knowledge Representation; satisfiability solvers; description logics; constraint programming; conceptual graphs; nonmonotonic reasoning; model-based problem solving; and Bayesian networks. Part II focuses on classes of knowledge and specialized representations, with chapters on temporal representation and reasoning; spatial and physical reasoning; reasoning about knowledge and belief; temporal action logics; and nonmonotonic causal logic. Part III discusses Knowledge Representation in applications such as question answering; the semantic web; automated planning; cognitive robotics; multi-agent systems; and knowledge engineering. This book is an essential resource for graduate students, researchers, and practitioners in knowledge representation and AI. * Make your computer smarter* Handle qualitative and uncertain information* Improve computational tractability to solve your problems easily
Logic for Computer Scientists
Author: Uwe SchöningPublisher: Springer Science & Business Media
ISBN: 0817647635
Category : Mathematics
Languages : en
Pages : 173
Book Description
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.