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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > THEODOROS PAPAMAKARIOS:
All reports by Author Theodoros Papamakarios:

TR21-176 | 30th November 2021
Theodoros Papamakarios

A super-polynomial separation between resolution and cut-free sequent calculus

We show a quadratic separation between resolution and cut-free sequent calculus width. We use this gap to get, for the first time, first, a super-polynomial separation between resolution and cut-free sequent calculus for refuting CNF formulas, and secondly, a quadratic separation between resolution width and monomial space in polynomial calculus ... more >>>


TR21-074 | 3rd June 2021
Theodoros Papamakarios, Alexander Razborov

Space characterizations of complexity measures and size-space trade-offs in propositional proof systems

We identify two new big clusters of proof complexity measures equivalent up to
polynomial and $\log n$ factors. The first cluster contains, among others,
the logarithm of tree-like resolution size, regularized (that is, multiplied
by the logarithm of proof length) clause and monomial space, and clause
space, both ordinary and ... more >>>




ISSN 1433-8092 | Imprint