Categories In Computer Science And Logic PDF Download
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Author | : R. F. C. Walters |
Publisher | : Cambridge University Press |
Total Pages | : 180 |
Release | : 1991 |
Genre | : Computers |
ISBN | : 9780521422260 |
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Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.
Author | : John Walker Gray |
Publisher | : American Mathematical Soc. |
Total Pages | : 394 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 0821851004 |
Download Categories in Computer Science and Logic Book in PDF, ePub and Kindle
Presents the proceedings of AMS-IMS-SIAM Summer Research Conference on Categories in Computer Science and Logic that was held at the University of Colorado in Boulder. This book discusses the use of category theory in formalizing aspects of computer programming and program design.
Author | : Benjamin C. Pierce |
Publisher | : MIT Press |
Total Pages | : 117 |
Release | : 1991-08-07 |
Genre | : Computers |
ISBN | : 0262326450 |
Download Basic Category Theory for Computer Scientists Book in PDF, ePub and Kindle
Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
Author | : Anita Wasilewska |
Publisher | : Springer |
Total Pages | : 535 |
Release | : 2018-11-03 |
Genre | : Computers |
ISBN | : 3319925911 |
Download Logics for Computer Science Book in PDF, ePub and Kindle
Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written by logicians for logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence.
Author | : Uwe Schöning |
Publisher | : Springer Science & Business Media |
Total Pages | : 173 |
Release | : 2009-11-03 |
Genre | : Mathematics |
ISBN | : 0817647635 |
Download Logic for Computer Scientists Book in PDF, ePub and Kindle
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 | : Jean H. Gallier |
Publisher | : Courier Dover Publications |
Total Pages | : 532 |
Release | : 2015-06-18 |
Genre | : Mathematics |
ISBN | : 0486780821 |
Download Logic for Computer Science Book in PDF, ePub and Kindle
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.
Author | : Nimal Nissanke |
Publisher | : Addison Wesley Publishing Company |
Total Pages | : 410 |
Release | : 1999 |
Genre | : Computers |
ISBN | : |
Download Introductory Logic and Sets for Computer Scientists Book in PDF, ePub and Kindle
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 | : Dana Richards |
Publisher | : World Scientific Publishing Company |
Total Pages | : 468 |
Release | : 2017-09-08 |
Genre | : Computers |
ISBN | : 9813229225 |
Download Logic And Language Models For Computer Science (Third Edition) Book in PDF, ePub and Kindle
This text presents the formal concepts underlying Computer Science.It starts with a wide introduction to Logic with an emphasis on reasoning and proof, with chapters on Program Verification and Prolog.The treatment of computability with Automata and Formal Languages stands out in several ways:The style is appropriate for both undergraduate and graduate classes.
Author | : Michael Huth |
Publisher | : |
Total Pages | : 427 |
Release | : 2004-08-26 |
Genre | : Computers |
ISBN | : 9780521543101 |
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Provides a sound basis in logic, and introduces logical frameworks used in modelling, specifying and verifying computer systems.
Author | : Michael Barr |
Publisher | : |
Total Pages | : 352 |
Release | : 1995 |
Genre | : Computers |
ISBN | : |
Download Category Theory for Computing Science Book in PDF, ePub and Kindle
A wide coverage of topics in category theory and computer science is developed in this text, including introductory treatments of cartesian closed categories, sketches and elementary categorical model theory, and triples. Over 300 exercises are included.