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Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

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All reports by Author Luc Nicolas Spachmann:

TR24-038 | 27th February 2024
Olaf Beyersdorff, Kaspar Kasche, Luc Nicolas Spachmann

Polynomial Calculus for Quantified Boolean Logic: Lower Bounds through Circuits and Degree

We initiate an in-depth proof-complexity analysis of polynomial calculus (Q-PC) for Quantified Boolean Formulas (QBF). In the course of this we establish a tight proof-size characterisation of Q-PC in terms of a suitable circuit model (polynomial decision lists). Using this correspondence we show a size-degree relation for Q-PC, similar in ... more >>>

TR24-030 | 22nd February 2024
Olaf Beyersdorff, Tim Hoffmann, Luc Nicolas Spachmann

Proof Complexity of Propositional Model Counting

Recently, the proof system MICE for the model counting problem #SAT was introduced by Fichte, Hecher and Roland (SAT’22). As demonstrated by Fichte et al., the system MICE can be used for proof logging for state-of-the-art #SAT solvers.
We perform a proof-complexity study of MICE. For this we first simplify ... more >>>

ISSN 1433-8092 | Imprint