2015•Concurrency and Computation Practice and ExperienceRequires access

Correct metric semantics for a language inspired by DNA computing

Gabriel Ciobanu, Eneia Nicolae Todoran

Abstract

Summary We investigate a language similar to a process algebra introduced by Cardelli for DNA computing. For such a language, we relate two formal semantics. We define a new denotational semantics by using complete metric spaces, in which various semantic functions are defined as fixed points of appropriate higher‐order mappings. We compare this denotational semantics with an operational semantics and establish a formal relationship between them by using an abstraction operator and a fixed point argument. In this way, we prove the correctness of the denotational semantics with respect to the operational one. Copyright © 2015 John Wiley & Sons, Ltd.

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Key concepts: Denotational semantics, Denotational semantics of the Actor model, Normalisation by evaluation, Domain theory, Operational semantics, Action semantics, Computer science, Programming language