Formalizing statecharts using hierarchical automata

Article

Helke, S. and Kammueller, F. 2010. Formalizing statecharts using hierarchical automata. Archive of Formal Proof.
TypeArticle
TitleFormalizing statecharts using hierarchical automata
AuthorsHelke, S. and Kammueller, F.
Abstract

We formalize in Isabelle/HOL the abtract syntax and a synchronous step semantics for the specification language Statecharts. The formalization is based on Hierarchical Automata which allow a structural decomposition of Statecharts into Sequential Automata. To support the composition of Statecharts, we introduce calculating operators to construct a Hierarchical Automaton in a stepwise manner. Furthermore, we present a complete semantics of Statecharts including a theory of data spaces, which enables the modelling of racing effects. We also adapt CTL for Statecharts to build a bridge for future combinations with model checking. However the main motivation of this work is to provide a sound and complete basis for reasoning on Statecharts. As a central meta theorem we prove that the well-formedness of a Statechart is preserved by the semantics.
(Abstract as appears of publisher website)

Research GroupFoundations of Computing group
Artificial Intelligence group
JournalArchive of Formal Proof
ISSN2150-914X
Publication process dates
Deposited25 May 2012
Output statusPublished
Web address (URL)http://afp.sourceforge.net/entries/Statecharts.shtml
LanguageEnglish
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