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arXiv · 1606.02019

A logic for n-dimensional hierarchical refinement

Alexandre Madeira·Manuel A. Martins·Luís S. Barbosa
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Abstract

Hierarchical transition systems provide a popular mathematical structure to represent state-based software applications in which different layers of abstraction are represented by inter-related state machines. The decomposition of high level states into inner sub-states, and of their transitions into inner sub-transitions is common refinement procedure adopted in a number of specification formalisms. This paper introduces a hybrid modal logic for k-layered transition systems, its first-order standard translation, a notion of bisimulation, and a modal invariance result. Layered and hierarchical notions of refinement are also discussed in this setting.

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Alexandre Madeira, Manuel A. Martins, Luís S. Barbosa. 2016-06-07. A logic for n-dimensional hierarchical refinement. https://doi.org/10.4204/eptcs.209.4

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