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» The Deduction Theorem for Strong Propositional Proof Systems
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JAR
2000
97views more  JAR 2000»
14 years 11 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 6 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
ENTCS
2006
113views more  ENTCS 2006»
14 years 11 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 6 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
STACS
2010
Springer
15 years 6 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