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Handbook of Logic and Proof Techniques for Computer Science (Paperback, Softcover reprint of the original 1st ed. 2002)
Loot Price: R1,531
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Handbook of Logic and Proof Techniques for Computer Science (Paperback, Softcover reprint of the original 1st ed. 2002)
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Logic plays a central conceptual role in modern mathematics.
However, mathematical logic has grown into one of the most
recondite areas of mathematics. As a result, most of modern logic
is inaccessible to all but the specialist. This new book is a
resource that provides a quick introduction and review of the key
topics in logic for the computer scientist, engineer, or
mathematician. Handbook of Logic and Proof Techniques for Computer
Science presents the elements of modern logic, including many
current topics, to the reader having only basic mathematical
literacy. Computer scientists will find specific examples and
important ideas such as axiomatics, recursion theory, decidability,
independence, completeness, consistency, model theory, and P/NP
completeness. The book contains definitions, examples and
discussion of all of the key ideas in basic logic, but also makes a
special effort to cut through the mathematical formalism, difficult
notation, and esoteric terminology that is typical of modern
mathematical logic.T This handbook delivers cogent and
self-contained introductions to critical advanced topics,
including: * Godel's completeness and incompleteness theorems *
Methods of proof, cardinal and ordinal numbers, the continuum
hypothesis, the axiom of choice, model theory, and number systems
and their construction * Extensive treatment of complexity theory
and programming applications * Applications to algorithms in
Boolean algebra * Discussion of set theory and applications of
logic The book is an excellent resource for the working
mathematical scientist. The graduate student or professional in
computer science and engineering or the systems scientist who needs
to have a quick sketch of a key idea from logic will find it here
in this self-contained, accessible, and easy-to-use reference.
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