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» The Completeness of Propositional Resolution: A Simple and C...
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AAAI
2008
13 years 8 months ago
Clause Learning Can Effectively P-Simulate General Propositional Resolution
Currently, the most effective complete SAT solvers are based on the DPLL algorithm augmented by clause learning. These solvers can handle many real-world problems from application...
Philipp Hertel, Fahiem Bacchus, Toniann Pitassi, A...
CSR
2006
Springer
13 years 9 months ago
Extended Resolution Proofs for Conjoining BDDs
We present a method to convert the construction of binary decision diagrams (BDDs) into extended resolution proofs. Besides in proof checking, proofs are fundamental to many applic...
Carsten Sinz, Armin Biere
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 5 months ago
A Minimal Propositional Type Theory
Propositional type theory, first studied by Henkin, is the restriction of simple type theory to a single base type that is interpreted as the set of the two truth values. We show ...
Mark Kaminski, Gert Smolka
TAMC
2010
Springer
13 years 10 months ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret
LFCS
2009
Springer
14 years 4 days ago
A Clausal Approach to Proof Analysis in Second-Order Logic
This work defines an extension CERES2 of the first-order cut-elimination method CERES to the subclass of sequent calculus proofs in second-order logic using quantifier-free comp...
Stefan Hetzl, Alexander Leitsch, Daniel Weller, Br...