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Type Inference of Simulink Hierarchical Block Diagrams in Isabelle

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Formal Techniques for Distributed Objects, Components, and Systems (FORTE 2017)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10321))

Abstract

Simulink is a de-facto industrial standard for embedded system design. In previous work, we developed a compositional analysis framework for Simulink, the Refinement Calculus of Reactive Systems (RCRS), which allows checking compatibility and substitutability of components. However, standard type checking was not considered in that work. In this paper we present a method for the type inference of Simulink models using the Isabelle theorem prover. A Simulink diagram is translated into an (RCRS) Isabelle theory. Then Isabelle’s powerful type inference mechanism is used to infer the types of the diagram based on the types of the basic blocks. One of the aims is to handle formally as many diagrams as possible. In particular, we want to be able to handle even those diagrams that may have typing ambiguities, provided that they are accepted by Simulink. This method is implemented in our toolset that translates Simulink diagrams into Isabelle theories and simplifies them. We evaluate our technique on several case studies, most notably, an automotive fuel control system benchmark provided by Toyota.

This work has been partially supported by the Academy of Finland and the U.S. National Science Foundation (awards #1329759 and #1139138).

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Notes

  1. 1.

    The only exception is when Boolean values are used in numeric expressions, as discussed in Sect. 7, in which case true and false are modeled as the numbers 1 and 0.

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Authors and Affiliations

  1. Aalto University, Espoo, Finland

    Viorel Preoteasa & Stavros Tripakis

  2. Verimag, Saint-Martin-d’Héres, France

    Iulia Dragomir

  3. University of California, Berkeley, USA

    Stavros Tripakis

Authors
  1. Viorel Preoteasa
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  2. Iulia Dragomir
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  3. Stavros Tripakis
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Corresponding author

Correspondence to Viorel Preoteasa .

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Editors and Affiliations

  1. University Paris Diderot, Paris, France

    Ahmed Bouajjani

  2. University College London, London, United Kingdom

    Alexandra Silva

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Preoteasa, V., Dragomir, I., Tripakis, S. (2017). Type Inference of Simulink Hierarchical Block Diagrams in Isabelle. In: Bouajjani, A., Silva, A. (eds) Formal Techniques for Distributed Objects, Components, and Systems. FORTE 2017. Lecture Notes in Computer Science(), vol 10321. Springer, Cham. https://doi.org/10.1007/978-3-319-60225-7_14

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  • DOI: https://doi.org/10.1007/978-3-319-60225-7_14

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