All reports by Author Stefan Dantchev:

__
TR18-165
| 20th September 2018
__

Stefan Dantchev, Nicola Galesi, Barnaby Martin#### Resolution and the binary encoding of combinatorial principles

__
TR18-024
| 1st February 2018
__

Olaf Beyersdorff, Judith Clymo, Stefan Dantchev, Barnaby Martin#### The Riis Complexity Gap for QBF Resolution

Stefan Dantchev, Nicola Galesi, Barnaby Martin

We investigate the size complexity of proofs in $RES(s)$ -- an extension of Resolution working on $s$-DNFs instead of clauses -- for families of contradictions given in the {\em unusual binary} encoding. A motivation of our work is size lower bounds of refutations in Resolution for families of contradictions in ... more >>>

Olaf Beyersdorff, Judith Clymo, Stefan Dantchev, Barnaby Martin

We give an analogue of the Riis Complexity Gap Theorem for Quanti fied Boolean Formulas (QBFs). Every fi rst-order sentence $\phi$ without finite models gives rise to a sequence of QBFs whose minimal refutations in tree-like Q-Resolution are either of polynomial size (if $\phi$ has no models) or at least ... more >>>