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» The Deduction Theorem for Strong Propositional Proof Systems
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JAR
2000
97views more  JAR 2000»
14 years 9 months ago
A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering
We report our effort to build a geometry deductive database, which can be used to find the fixpoint for a geometric configuration. The system can find all the properties of the con...
Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
FMCAD
2007
Springer
15 years 3 months ago
Lifting Propositional Interpolants to the Word-Level
— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...
Daniel Kroening, Georg Weissenbacher
75
Voted
ENTCS
2006
113views more  ENTCS 2006»
14 years 9 months ago
Mining Propositional Simplification Proofs for Small Validating Clauses
The problem of obtaining small conflict clauses in SMT systems has received a great deal of attention recently. We report work in progress to find small subsets of the current par...
Ian Wehrman, Aaron Stump
CSL
2007
Springer
15 years 3 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
59
Voted
STACS
2010
Springer
15 years 4 months ago
On Optimal Heuristic Randomized Semidecision Procedures, with Application to Proof Complexity
The existence of a (p-)optimal propositional proof system is a major open question in (proof) complexity; many people conjecture that such systems do not exist. Kraj´ıˇcek and P...
Edward A. Hirsch, Dmitry Itsykson