We revisit the semantic size-cost-capacity technique (Beyersdorff, Blinkhorn & Hinde, 2019) for proof-size lower bounds in proof systems for quantified Boolean formulas (QBF). While the original technique is only applicable to weak proof systems with bounded capacity, we present a fine-grained generalisation of this technique that allows us to attack ... more >>>

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 >>>

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 >>>