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Relational Methods for Computer Science Applications (Paperback, Softcover reprint of the original 1st ed. 2001)
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Relational Methods for Computer Science Applications (Paperback, Softcover reprint of the original 1st ed. 2001)
Series: Studies in Fuzziness and Soft Computing, 65
Expected to ship within 10 - 15 working days
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The origins of relational theories can be found in the work of
three 19th cen- tury mathematicians: Augustus de Morgan (1864, On
the syllogism IV and on the logic of relations), Charles Sanders
Peirce (1882, Brief description of the algebra of relatives) and
Ernst Schroder (1895, Vorlesungen iiber die Al- gebra und Logik der
Relative). The modern origins of the theory of relations are due to
Alfred Tarski (14 January 1902, Warsaw -26 October 1983, Berke-
ley). His paper' On the calculus of Relations' published in 1941
gave rise to an algebraic theory of relations which is still
extensively studied. In the 1970s, the applications of relational
theories to various applied sciences emerged. Nowadays relational
theories are experiencing a period of extensive development, with
the emergence of new theories and systems allow- ing better
understanding and better use of such theories. Relational theories
have been used, among others, in the following fields: * Theory of
programs: program specification, program verification, mod- elling
concurrency, process calculi, semantics of programming languages; *
Databases: relational databases, tabular methods, dependency
theory, rectangular and difunctional decomposition of databases; *
Computational linguistics: relational semantics of natural
languages, re- lational grammars, Lambek calculus; * Spatial
reasoning: modelling of relationships between space regions; *
Handling uncertainty: fuzzy relations, many-valued relations,
information relations. Indeed, the concept of relation emerges
again and again throughout computer science, from its theoretical
foundations to very practical implementations.
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