Logic and Logic Programming

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Department of Cybernetics

Synopsis:

Mathematical logics and its relation to technical disciplines. Formal system and its essential properties - validity, completeness. Syntax and semantics, basic definitions. Compactness theorem. First order language and its interpretation. Theory and its model, Herbrand´s model. Herbrand´s theorem, Gödel´s completeness theorem and their practical implications. Limits of computability and probability. Logic programming and Prolog language. Metodology of logic programming. Introduction of extralogical features and metapredicates. New trends - constraint logic programming (CLP)and inductive logic programming (ILP). Some practical examples of complex logic programs and practical applications.

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