Diagrammatic logic applied to a parameterisation process

Author:

DOMÍNGUEZ CÉSAR,DUVAL DOMINIQUE

Abstract

This paper provides an abstract definition of a class of logics, called diagrammatic logics, together with a definition of morphisms and 2-morphisms between them. The definition of the 2-category of diagrammatic logics relies on category theory, mainly on adjunction, categories of fractions and limit sketches. This framework is applied to the formalisation of a parameterisation process. This process, which consists of 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 parameterised specification and an actual parameter is shown to be a 2-morphism of logics.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Reference27 articles.

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2. Wells C. (1993) Sketches: Outline with References. (Available at http://www.cwru.edu/artsci/math/wells/pub/papers.html.)

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