Synthesis for prefix first-order logic on data words

Julien Grange; Mathieu Lehaut

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arXiv · 2404.14517

Synthesis for prefix first-order logic on data words

Julien Grange·Mathieu Lehaut

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Abstract

We study the reactive synthesis problem for distributed systems with an unbounded number of participants interacting with an uncontrollable environment. Executions of those systems are modeled by data words, and specifications are given as first-order logic formulas from a fragment we call prefix first-order logic that implements a limited kind of order. We show that this logic has nice properties that enable us to prove decidability of the synthesis problem.

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Julien Grange, Mathieu Lehaut. 2024-04-22. Synthesis for prefix first-order logic on data words. https://arxiv.org/abs/2404.14517

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