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:
* Godels 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 whoneeds 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.
General
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