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arXiv · 1410.7930

On the equivalence of state transformer semantics and predicate transformer semantics

Klaus Keimel
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Abstract

G. Plotkin and the author have worked out the equivalence between state transformer semantics and predicate transformer semantics in a domain theoretical setting for programs combining nondeterminism and probability. Works of C. Morgan and co-authors, Keimel, Rosenbusch and Streicher, already go in the same direction using only discrete state spaces. It is the aim of this paper to exhibit a general framework in which one can hope that state transformer semantics and predicate transformer semantics are equivalent. We use a notion of entropicity borrowed from universal algebra and a relaxed setting adapted to the domain theoretical situation.

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Klaus Keimel. 2014-10-29. On the equivalence of state transformer semantics and predicate transformer semantics. https://arxiv.org/abs/1410.7930

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