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» Compressing Propositional Refutations
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ENTCS
2007
101views more  ENTCS 2007»
13 years 5 months ago
Compressing Propositional Refutations
We report initial results on shortening propositional resolution refutation proofs. This has an application in speeding up deductive reconstruction (in theorem provers) of large p...
Hasan Amjad
CIE
2010
Springer
13 years 7 months ago
The Limits of Tractability in Resolution-Based Propositional Proof Systems
We study classes of propositional contradictions based on the Least Number Principle (LNP) in the refutation system of Resolution and its generalisations with bounded conjunction, ...
Stefan S. Dantchev, Barnaby Martin
JCSS
1998
65views more  JCSS 1998»
13 years 5 months ago
Good Degree Bounds on Nullstellensatz Refutations of the Induction Principle
This paper gives nearly optimal, logarithmic upper and lower bounds on the minimum degree of Nullstellensatz refutations (i.e., polynomials) of the propositional induction princip...
Samuel R. Buss, Toniann Pitassi
LMCS
2006
126views more  LMCS 2006»
13 years 5 months ago
The Completeness of Propositional Resolution: A Simple and Constructive Proof
It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing tha...
Jean H. Gallier
DAM
1999
100views more  DAM 1999»
13 years 5 months ago
Complexity Analysis of Propositional Resolution with Autarky Pruning
An algorithm called Modoc", which has been introduced elsewhere, enhances propositional model elimination with autarky pruning, and other features. The model elimination meth...
Allen Van Gelder