Language Definitions as Rewrite Theories

Vlad Rusu, Lucanu, Dorel, Serbanuta, Traian Florin , Arusoaie, Andrei, Stefanescu, Andrei, Grigore Rosu. Language Definitions as Rewrite Theories. Preprint 2015.

Abstract

K is a formal framework for defining operational semantics of programming languages. The K-Maude compiler translates K language definitions to Maude rewrite theories. The compiler enables program execution by using the Maude rewrite engine withthe compiled definitions, and program analysis by using various Maude analysis tools.K supports symbolic execution in Maude by means of an automatic transformation of language definitions. The transformed definition is called the {\em symbolic extension} of the original definition.In this paper we investigate the theoretical relationship between K language definitions and their Maude translations, between symbolic extensions of K definitions and their Maude translations, and how the relationship between K definitions and their symbolic extensions is reflected on their respective representations in Maude.In particular, the results show how analysis performed with Maude tools can be formally lifted up to the original language definitions.

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