Schoisswohl, J., Kovács, L., & Korovin, K. (2024). VIRAS: Conflict-Driven Quantifier Elimination for Integer-Real Arithmetic. In N. Bjørner, M. Heule, & A. Voronkov (Eds.), Proceedings of 25th Conference on Logic for Programming, Artificial Intelligence and Reasoning (pp. 147–164). https://doi.org/10.29007/kg4v
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.
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Project title:
Semantische und kryptografische Grundlagen von Informationssicherheit und Datenschutz durch modulares Design: F 8500 (FWF - Österr. Wissenschaftsfonds) Effective Formal Methods for Smart-Contract Certification: ICT22-007 (WWTF Wiener Wissenschafts-, Forschu und Technologiefonds)
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Project (external):
European Research Council EPSRC
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Project ID:
101002685 EP/V000497/1
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Research Areas:
Mathematical and Algorithmic Foundations: 50% Computer Science Foundations: 50%
CC BY-NC-ND 4.0
