First-Order Logic and Automated Theorem Proving - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Logic and Automated Theorem Proving write by Melvin Fitting. This book was released on 2012-12-06. First-Order Logic and Automated Theorem Proving available in PDF, EPUB and Kindle. 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.
First-Order Logic and Automated Theorem Proving
First-Order Logic and Automated Theorem Proving - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Logic and Automated Theorem Proving write by Melvin Fitting. This book was released on 1996. First-Order Logic and Automated Theorem Proving available in PDF, EPUB and Kindle. 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.
First-Order Logic and Automated Theorem Proving
First-Order Logic and Automated Theorem Proving - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Logic and Automated Theorem Proving write by Department of Mathematics and Computer Science Lehman College Melvin Fitting. This book was released on 2012. First-Order Logic and Automated Theorem Proving available in PDF, EPUB and Kindle. This monograph on classical logic presents fundamental concepts and results in a rigorous mathematical style. Applications to automated theorem proving are considered and usable programs in Prolog are provided. This material can be used both as a first text in formal logic and as an introduction to automation issues, and is intended for those interested in computer science and mathematics at the beginning graduate level. The book begins with propositional logic, then treats first-order logic, and finally, first-order logic with equality. In each case the initial presentation is semantic: Boolean valuations for propositional logic, models for first-order logic, and normal models when equality is added. This defines the intended subjects independently of a particular choice of proof mechanism. Then many kinds of proof procedures are introduced: tableau, resolution, natural deduction, Gentzen sequent and axiom systems. Completeness issues are centered in a model existence theorem, which permits the coverage of a variety of proof procedures without repetition of detail. In addition, results such as compactness, interpolation, and the Beth definability theorem are easily established.Implementations of tableau theorem provers are given in Prolog, and resolution is left as a project for the student.
Automated Theorem Proving: A Logical Basis
Automated Theorem Proving: A Logical Basis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automated Theorem Proving: A Logical Basis write by D.W. Loveland. This book was released on 2016-08-19. Automated Theorem Proving: A Logical Basis available in PDF, EPUB and Kindle. Automated Theorem Proving: A Logical Basis
Handbook of Practical Logic and Automated Reasoning
Handbook of Practical Logic and Automated Reasoning - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Practical Logic and Automated Reasoning write by John Harrison. This book was released on 2009-03-12. Handbook of Practical Logic and Automated Reasoning available in PDF, EPUB and Kindle. A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
