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arXiv · 1804.03237

A Counting Semantics for Monitoring LTL Specifications over Finite Traces

Ezio Bartocci·Roderick Bloem·Dejan Nickovic·Franz Roeck
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Abstract

We consider the problem of monitoring a Linear Time Logic (LTL) specification that is defined on infinite paths, over finite traces. For example, we may need to draw a verdict on whether the system satisfies or violates the property "p holds infinitely often." The problem is that there is always a continuation of a finite trace that satisfies the property and a different continuation that violates it. We propose a two-step approach to address this problem. First, we introduce a counting semantics that computes the number of steps to witness the satisfaction or violation of a formula for each position in the trace. Second, we use this information to make a prediction on inconclusive suffixes. In particular, we consider a good suffix to be one that is shorter than the longest witness for a satisfaction, and a bad suffix to be shorter than or equal to the longest witness for a violation. Based on this assumption, we provide a verdict assessing whether a continuation of the execution on the same system will presumably satisfy or violate the property.

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Ezio Bartocci, Roderick Bloem, Dejan Nickovic, Franz Roeck. 2018-04-09. A Counting Semantics for Monitoring LTL Specifications over Finite Traces. https://arxiv.org/abs/1804.03237

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