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arXiv · 1702.05752

Axiomatization of if-then-else over monoids of possibly non-halting programs and tests

Gayatri Panicker·K. V. Krishna·Purandar Bhaduri
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Abstract

In order to study the axiomatization of the if-then-else construct over possibly non-halting programs and tests, the notion of $C$-sets was introduced in the literature by considering the tests from an abstract $C$-algebra. This paper extends the notion of $C$-sets to $C$-monoids which include the composition of programs as well as composition of programs with tests. For the class of $C$-monoids where the $C$-algebras are adas a canonical representation in terms of functional $C$-monoids is obtained.

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Gayatri Panicker, K. V. Krishna, Purandar Bhaduri. 2017-02-19. Axiomatization of if-then-else over monoids of possibly non-halting programs and tests. https://arxiv.org/abs/1702.05752

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