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arXiv · 2305.05064

Symbolic Model Construction for Saturated Constrained Horn Clauses

Martin Bromberger·Lorenz Leutgeb·Christoph Weidenbach
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Abstract

Clause sets saturated by hierarchic ordered resolution do not offer a model representation that can be effectively queried, in general. They only offer the guarantee of the existence of a model. We present an effective symbolic model construction for saturated constrained Horn clauses. Constraints are in linear arithmetic, the first-order part is restricted to a function-free language. The model is constructed in finite time, and non-ground clauses can be effectively evaluated with respect to the model. Furthermore, we prove that our model construction produces the least model.

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Martin Bromberger, Lorenz Leutgeb, Christoph Weidenbach. 2023-05-08. Symbolic Model Construction for Saturated Constrained Horn Clauses. https://doi.org/10.1007/978-3-031-43369-6_8

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