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» The logic of proofs, semantically
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DLOG
2009
15 years 4 months ago
On Correspondences between Probabilistic First-Order and Description Logics
Abstract This paper analyzes the probabilistic description logic PSHIQ by looking at it as a fragment of probabilistic first-order logic with semantics based on possible worlds. We...
Pavel Klinov, Bijan Parsia, Ulrike Sattler
STOC
1999
ACM
101views Algorithms» more  STOC 1999»
15 years 11 months ago
Short Proofs are Narrow - Resolution Made Simple
The width of a Resolution proof is defined to be the maximal number of literals in any clause of the proof. In this paper, we relate proof width to proof length (ϭsize), in both g...
Eli Ben-Sasson, Avi Wigderson
ECCC
2007
90views more  ECCC 2007»
15 years 6 months ago
Parameterized Proof Complexity: a Complexity Gap for Parameterized Tree-like Resolution
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
CSL
2007
Springer
16 years 23 days ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ...
Arnold Beckmann
JELIA
2010
Springer
15 years 5 months ago
Parametrized Logic Programming
Traditionally, a logic program is built up to reason about atomic first-order formulas. The key idea of parametrized logic programming is that, instead of atomic first-order form...
Ricardo Gonçalves, José Júlio...