Author : Klaus Truemper
Publisher :
Page : pages
File Size : 23,60 MB
Release : 2017-09-14
Category :
ISBN : 9780999140215
This is the paperback edition of the electronic version with same titleeee
Author : Robert S. Boyer
Publisher : Academic Press
Page : 414 pages
File Size : 11,65 MB
Release : 2014-06-25
Category : Mathematics
ISBN : 1483277887
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.
Author : K. Truemper
Publisher : Wiley-Interscience
Page : 504 pages
File Size : 32,46 MB
Release : 1998-02-13
Category : Business & Economics
ISBN :
A powerful new approach to solving propositional logic problems in the design of expert systems Effective Logic Computation describes breakthrough mathematical methods for computation in propositional logic. Offering a highly robust and versatile alternative to the production rule- or neural net-based approaches commonly used in the design of expert systems, Dr. Truemper’s combinatorial decomposition-based approach has produced a compiler that uniquely yields solution algorithms for both logic satisfiability problems and logic minimization problems. Also unique to the compiler is computation of a performance guarantee for each solution algorithm. Effective Logic Computation provides detailed algorithms for all steps carried out by the compiler. Much of the mathematics described in this book has been implemented in the Leibniz System, a commercially available software system for logic programming and a leading tool for building expert systems. This book’s companion volume, Design of Intelligent Computer Systems, is in preparation and will offer detailed coverage of software implementation and use, including a complete version of the Leibniz System. Effective Logic Computation is an indispensable working resource for computer scientists and applied mathematicians involved in the design of logic programming software, researchers in artificial intelligence, and operations researchers.
Author : Robert Kowalski
Publisher :
Page : 310 pages
File Size : 31,60 MB
Release : 2011
Category : Communication
ISBN : 9781107214453
"The practical benefits of computational logic need not be limited to mathematics and computing. As this book shows, ordinary people in their everyday lives can profit from the recent advances that have been developed for artificial intelligence. The book draws upon related developments in various fields from philosophy to psychology and law. It pays special attention to the integration of logic with decision theory, and the use of logic to improve the clarity and coherence of communication in natural languages such as English. This book is essential reading for teachers and researchers who may be out of touch with the latest developments in computational logic. It will also be useful in any undergraduate course that teaches practical thinking, problem solving or communication skills. Its informal presentation makes the book accessible to readers from any background, but optional, more formal, chapters are also included for those who are more technically oriented"--
Author : J. N. Crossley
Publisher : Courier Corporation
Page : 99 pages
File Size : 36,75 MB
Release : 2012-08-29
Category : Mathematics
ISBN : 0486151522
A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.
Author : Richard Zach
Publisher :
Page : 418 pages
File Size : 13,38 MB
Release : 2021-07-13
Category :
ISBN :
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Author : Mark C. Chu-Carroll
Publisher : Pragmatic Bookshelf
Page : 261 pages
File Size : 49,45 MB
Release : 2013-07-18
Category : Computers
ISBN : 168050360X
Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.
Author : Leonard Bolc
Publisher : Routledge
Page : 250 pages
File Size : 17,30 MB
Release : 2019-10-24
Category : Philosophy
ISBN : 1000507319
Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.
Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 16,86 MB
Release : 2012-12-06
Category : Computers
ISBN : 1447103351
This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.
Author : Anthony Scopatz
Publisher : "O'Reilly Media, Inc."
Page : 567 pages
File Size : 19,82 MB
Release : 2015-06-25
Category : Science
ISBN : 1491901586
More physicists today are taking on the role of software developer as part of their research, but software development isnâ??t always easy or obvious, even for physicists. This practical book teaches essential software development skills to help you automate and accomplish nearly any aspect of research in a physics-based field. Written by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. Youâ??ll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results. In four parts, this book includes: Getting Started: Jump into Python, the command line, data containers, functions, flow control and logic, and classes and objects Getting It Done: Learn about regular expressions, analysis and visualization, NumPy, storing data in files and HDF5, important data structures in physics, computing in parallel, and deploying software Getting It Right: Build pipelines and software, learn to use local and remote version control, and debug and test your code Getting It Out There: Document your code, process and publish your findings, and collaborate efficiently; dive into software licenses, ownership, and copyright procedures
