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PolyQEnt: A Polynomial Quantified Entailment Solver

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arxiv 2408.03796 v3 pith:JWO6ITRL submitted 2024-08-07 cs.LO cs.PL

classification cs.LOcs.PL
keywords quantifiedpolynomialtoolariseentailmententailmentspolyqentproblems
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Polynomial quantified entailments with existentially and universally quantified variables arise in many problems of verification and program analysis. We present PolyQEnt which is a tool for solving polynomial quantified entailments in which variables on both sides of the implication are real valued or unbounded integers. Our tool provides a unified framework for polynomial quantified entailment problems that arise in several papers in the literature. Our experimental evaluation over a wide range of benchmarks shows the applicability of the tool as well as its benefits as opposed to simply using existing SMT solvers to solve such constraints.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Omega-regular Verification and Control for Distributional Specifications in MDPs

    cs.LO 2025-07 conditional novelty 7.0 of 10

    Distributional certificates provide the first automated method for verifying and synthesizing strategies against distributional omega-regular specifications in MDPs.

  2. Chance and Mass Interpretations of Probabilities in Markov Decision Processes (Extended Version)

    cs.FL 2025-06 conditional novelty 7.0 of 10

    A unified chance and mass framework defines four MDP semantics; reachability is undecidable in one new semantics and #P-hard in the other, with sound algorithms for both.

  3. Quantified Linear and Polynomial Arithmetic Satisfiability via Template-based Skolemization

    cs.LO 2024-12 conditional novelty 7.0 of 10

    A template-based Skolemization method backed by Positivstellensatz theorems checks many quantified LRA/NRA formulas in subexponential time and returns polynomial witnesses.

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