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arXiv · 1206.0911

Non-null Infinitesimal Micro-steps: a Metric Temporal Logic Approach

Luca Ferrucci·Dino Mandrioli·Angelo Morzenti·Matteo Rossi
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Abstract

Many systems include components interacting with each other that evolve with possibly very different speeds. To deal with this situation many formal models adopt the abstraction of "zero-time transitions", which do not consume time. These however have several drawbacks in terms of naturalness and logic consistency, as a system is modeled to be in different states at the same time. We propose a novel approach that exploits concepts from non-standard analysis to introduce a notion of micro- and macro-steps in an extension of the TRIO metric temporal logic, called X-TRIO. We use X-TRIO to provide a formal semantics and an automated verification technique to Stateflow-like notations used in the design of flexible manufacturing systems.

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Luca Ferrucci, Dino Mandrioli, Angelo Morzenti, Matteo Rossi. 2012-06-05. Non-null Infinitesimal Micro-steps: a Metric Temporal Logic Approach. https://arxiv.org/abs/1206.0911

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