Titlebook: Institution-independent Model Theory; R?zvan Diaconescu Book 20081st edition Birkh?user Basel 2008 Computer.Institution theory.Model theor

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Book 20081st editioneved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies an

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Categories,the textbooks on category theory available in the literature. [111] and [26] are among standard references for category theory. A reference for indexed categories discussing many examples from the model theory of algebraic specification is [174], while [101] contains a rather compact presentation of fibred category theory.

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Preservation and Axiomatizability,ample is the Birkhoff Variety theorem of equational logic: a class of algebras for a signature is closed under products, sub-algebras, and homomorphic images if and only if it is the class of algebras of an equational theory.

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