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Electronic Colloquium on Computational Complexity

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Reports tagged with QRAT:
TR20-112 | 8th June 2020
Joshua Blinkhorn

Simulating DQBF Preprocessing Techniques with Resolution Asymmetric Tautologies

Dependency quantified Boolean formulas (DQBF) describe an NEXPTIME-complete generalisation of QBF, which in turn generalises SAT. QRAT is a recently proposed proof system for quantified Boolean formulas (QBF), which simulates the full suite of QBF preprocessing techniques and thus forms a uniform proof checking format for solver verification.

In this ... more >>>

TR20-159 | 9th October 2020
Leroy Chew, Marijn Heule

Relating existing powerful proof systems for QBF

We advance the theory of QBF proof systems by showing the first simulation of the universal checking format QRAT by a theory-friendly system. We show that the sequent system G fully p-simulates QRAT, including the Extended Universal Reduction (EUR) rule which was recently used to show QRAT does not ... more >>>

TR21-104 | 26th June 2021
Sravanthi Chede, Anil Shukla

Does QRAT simulate IR-calc? QRAT simulation algorithm for $\forall$Exp+Res cannot be lifted to IR-calc

We show that the QRAT simulation algorithm of $\forall$Exp+Res from [B. Kiesl and M. Seidl, 2019] cannot be lifted to IR-calc.

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TR21-109 | 20th July 2021
Sravanthi Chede, Anil Shukla

QRAT Polynomially Simulates Merge Resolution.

Merge Resolution (MRes [Beyersdorff et al. J. Autom. Reason.'2021] ) is a refutational proof system for quantified Boolean formulas (QBF). Each line of MRes consists of clauses with only existential literals, together with information of countermodels stored as merge maps. As a result, MRes has strategy extraction by design. The ... more >>>

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