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Author: Nimal Nissanke
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 410
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Book Description
This text provides a practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. It covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics, whilst taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose. Features Particular emphasis is placed on the application of logic in the fields of software engineering, artificial intelligence and natural language processing 0201179571B04062001
Author: Nimal Nissanke
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 410
Get Book Here
Book Description
This text provides a practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. It covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics, whilst taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose. Features Particular emphasis is placed on the application of logic in the fields of software engineering, artificial intelligence and natural language processing 0201179571B04062001
Author: Rex Page
Publisher: MIT Press
ISBN: 0262039184
Category : Computers
Languages : en
Pages : 305
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Book Description
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.
Author: Uwe Schöning
Publisher: Springer Science & Business Media
ISBN: 0817647635
Category : Mathematics
Languages : en
Pages : 173
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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.
Author: Thierry Scheurer
Publisher: Addison-Wesley Longman
ISBN:
Category : Computers
Languages : en
Pages : 700
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Book Description
Written for professionals learning the field of discrete mathematics, this book provides the necessary foundations of computer science without requiring excessive mathematical prerequisites. Using a balanced approach of theory and examples, software engineers will find it a refreshing treatment of applications in programming.
Author: Iqbal H. Jebril
Publisher: CRC Press
ISBN: 0429665989
Category : Mathematics
Languages : en
Pages : 171
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Book Description
This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.
Author: Gilles Dowek
Publisher: Springer Science & Business Media
ISBN: 0857291211
Category : Computers
Languages : en
Pages : 161
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Book Description
Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.
Author: Mordechai Ben-Ari
Publisher: Springer Science & Business Media
ISBN: 1447103351
Category : Computers
Languages : en
Pages : 311
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Book Description
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: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 1461201152
Category : Computers
Languages : en
Pages : 257
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Book Description
Logic is, and should be, the core subject area of modern mathemat ics. The blueprint for twentieth century mathematical thought, thanks to Hilbert and Bourbaki, is the axiomatic development of the subject. As a result, logic plays a central conceptual role. At the same time, mathematical logic has grown into one of the most recondite areas of mathematics. Most of modern logic is inaccessible to all but the special ist. Yet there is a need for many mathematical scientists-not just those engaged in mathematical research-to become conversant with the key ideas of logic. The Handbook of Mathematical Logic, edited by Jon Bar wise, is in point of fact a handbook written by logicians for other mathe maticians. It was, at the time of its writing, encyclopedic, authoritative, and up-to-the-moment. But it was, and remains, a comprehensive and authoritative book for the cognoscenti. The encyclopedic Handbook of Logic in Computer Science by Abramsky, Gabbay, and Maibaum is a wonderful resource for the professional. But it is overwhelming for the casual user. There is need for a book that introduces important logic terminology and concepts to the working mathematical scientist who has only a passing acquaintance with logic. Thus the present work has a different target audience. The intent of this handbook is to present the elements of modern logic, including many current topics, to the reader having only basic mathe matical literacy.
Author: David Makinson
Publisher: Springer Science & Business Media
ISBN: 1447125002
Category : Computers
Languages : en
Pages : 302
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Book Description
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.
Author: Jean H. Gallier
Publisher: Courier Dover Publications
ISBN: 0486780821
Category : Mathematics
Languages : en
Pages : 532
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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.
