Assume-Guarantee Reasoning for Hierarchical Hybrid Systems

  • Authors:
  • Thomas A. Henzinger;Marius Minea;Vinayak Prabhu

  • Affiliations:
  • -;-;-

  • Venue:
  • HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
  • Year:
  • 2001

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Abstract

The assume-guarantee paradigm is a powerful divide-and-conquer mechanism for decomposing a verification task about a system into subtasks about the individual components of the system. The key to assume-guarantee reasoning is to consider each component not in isolation, but in conjunction with assumptions about the context of the component. Assume-guarantee principles are known for purely concurrent contexts, which constrain the input data of a component, as well as for purely sequential contexts, which constrain the entry configurations of a component. We present a model for hierarchical system design which permits the arbitrary nesting of parallel as well as serial composition, and which supports an assume-guarantee principle for mixed parallel-serial contexts. Our model also supports both discrete and continuous processes, and is therefore well-suited for the modeling and analysis of embedded software systems which interact with real-world environments. Using an example of two cooperating robots, we show refinement between a high-level model which specifies continuous timing constraints and an implementation which relies on discrete sampling.