<div class="csl-bib-body">
<div class="csl-entry">Schoisswohl, J., Kovács, L., & Korovin, K. (2024). VIRAS: Conflict-Driven Quantifier Elimination for Integer-Real Arithmetic. In N. Bjørner, M. Heule, & A. Voronkov (Eds.), <i>Proceedings of 25th Conference on Logic for Programming, Artificial Intelligence and Reasoning</i> (pp. 147–164). https://doi.org/10.29007/kg4v</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/199522
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dc.description.abstract
We introduce Virtual Integer-Real Arithmetic Substitution (Viras), a quantifier elimination procedure for deciding quantified linear mixed integer-real arithmetic problems. Viras combines the framework of virtual substitutions with conflict-driven proof search and linear integer arithmetic reasoning based on Cooper’s method. We demonstrate that Viras gives an exponential speedup over state-of-the-art methods in quantified arithmetic reasoning, proving problems that SMT-based techniques fail to solve.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.description.sponsorship
WWTF Wiener Wissenschafts-, Forschu und Technologiefonds