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Mathematical logic and foundations


Elementary Logic with Applications

A Procedural Perspective for Computer Scientists

D. M. Gabbay and O. T. Rodrigues

Elementary Logic with Applications is written for undergraduate logic and logic
programming courses. Logic has been applied to a wide variety of subjects such
as software engineering and hardware design, to programming and artificial
intelligence. In this way, it has served to stimulate the search for clear conceptual

Recently many extensions of classical logic such as temporal, modal, relevance,
fuzzy and non-monotonic logics have been widely used in computer science,
therefore requiring a new formulation of classic logic which can be modified to
yield the effect of non-classical logics.

This text aims to introduce classical logic in such a way that one can easily
deviate into discussing non-classical logics. It defines a number of different types
of logics and the differences between them, starting with the basic notions of the
most common logic.

Elementary Logic with Applications develops a theorem prover for classical logic
in a way that maintains a procedural point of view and presents the reader with
the real challenges facing applied logic.

Dov Gabbay and Odinaldo Rodrigues have been teaching logic and computer
science for many years. Dov Gabbay has written numerous other titles on the
subject of logic and is a world authority on non-classical logics. Odinaldo
Rodrigues is widely known for his work on logic, belief revision and

The “Elementary Logic with Applications” course is currently taught at the
Department of Informatics, King's College London.

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26 September 2016


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