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Normalisation of the Theory T of Cartesian Closed Categories andConservativity of Extensions T[x] of T

Published online by Cambridge University Press:  15 August 2002

Anne Preller  and
P. Duroux
Anne Preller
Affiliation:
LIRMM, 161 rue ADA, 34392 Montpellier, France; preller@lirmm.fr.
P. Duroux
Affiliation:
LIRMM, 161 rue ADA, 34392 Montpellier, France; duroux@lirmm.fr.
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Abstract

Using an inductive definition of normal terms of the theory of Cartesian Closed Categories with a given graph of distinguished morphisms, we give a reduction free proof of the decidability of this theory. This inductive definition enables us to show via functional completeness that extensions of such a theory by new constants (“indeterminates”) are conservative.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 3 , May 1999 , pp. 227 - 257
Copyright
© EDP Sciences, 1999

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References

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