### 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.

### License

BSD License

### Topics

- Computer science/Automata and formal languages

### Session Statecharts

- Contrib
- DataSpace
- Data
- Update
- Expr
- SA
- HA
- HASem
- Kripke
- HAKripke
- HAOps
- CarAudioSystem

## Cite

×

Statecharts-AFP

    @article{Statecharts-AFP,
      author  = {Steffen Helke and Florian Kammüller},
      title   = {Formalizing Statecharts using Hierarchical Automata},
      journal = {Archive of Formal Proofs},
      month   = {August},
      year    = {2010},
      note    = {\url{https://isa-afp.org/entries/Statecharts.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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