Logic for Mathematics and Computer Science

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Release : 1998
Genre : Computers
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Book Rating : /5 ( reviews)

Logic for Mathematics and Computer Science - 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 Logic for Mathematics and Computer Science write by Stanley Burris. This book was released on 1998. Logic for Mathematics and Computer Science available in PDF, EPUB and Kindle. This text is intended for one semester courses in Logic, it can also be applied to a two semester course, in either Computer Science or Mathematics Departments. Unlike other texts on mathematical logic that are either too advanced, too sparse in examples or exercises, too traditional in coverage, or too philosophical in approach, this text provides an elementary "hands-on" presentation of important mathematical logic topics, new and old, that is readily accessible and relevant to all students of the mathematical sciences -- not just those in traditional pure mathematics.

Sets, Logic and Maths for Computing

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Release : 2012-02-27
Genre : Computers
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Book Rating : 002/5 ( reviews)

Sets, Logic and Maths for Computing - 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 Sets, Logic and Maths for Computing write by David Makinson. This book was released on 2012-02-27. Sets, Logic and Maths for Computing available in PDF, EPUB and Kindle. This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.

Mathematical Logic for Computer Science

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Release : 2012-12-06
Genre : Computers
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Book Rating : 351/5 ( reviews)

Mathematical Logic for Computer Science - 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 Mathematical Logic for Computer Science write by Mordechai Ben-Ari. This book was released on 2012-12-06. Mathematical Logic for Computer Science available in PDF, EPUB and Kindle. 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.

Three Views of Logic

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Release : 2014-01-26
Genre : Mathematics
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Book Rating : 75X/5 ( reviews)

Three Views of Logic - 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 Three Views of Logic write by Donald W. Loveland. This book was released on 2014-01-26. Three Views of Logic available in PDF, EPUB and Kindle. Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

Essential Logic for Computer Science

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Release : 2019-01-08
Genre : Computers
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Book Rating : 184/5 ( reviews)

Essential Logic for Computer Science - 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 Essential Logic for Computer Science write by Rex Page. This book was released on 2019-01-08. Essential Logic for Computer Science available in PDF, EPUB and Kindle. An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.