Diagrammatic logic applied to a parameterization process

Cesar Dominguez; Dominique Duval

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arXiv · 0908.3737

Diagrammatic logic applied to a parameterization process

Cesar Dominguez·Dominique Duval

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Abstract

This paper provides an abstract definition of some kinds of logics, called diagrammatic logics, together with a definition of morphisms and of 2-morphisms between diagrammatic logics. The definition of the 2-category of diagrammatic logics rely on category theory, mainly on adjunction, categories of fractions and limit sketches. This framework is applied to the formalization of a parameterization process. This process, which consists in adding a formal parameter to some operations in a given specification, is presented as a morphism of logics. Then the parameter passing process, for recovering a model of the given specification from a model of the parameterized specification and an actual parameter, is seen as a 2-morphism of logics.

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BibTeX RIS

Cesar Dominguez, Dominique Duval. 2009-08-26. Diagrammatic logic applied to a parameterization process. https://arxiv.org/abs/0908.3737

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