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» Unsound Theorem Proving
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RANDOM
1997
Springer
13 years 11 months ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra
TABLEAUX
2000
Springer
13 years 11 months ago
Matrix-Based Inductive Theorem Proving
We present an approach to inductive theorem proving that integrates rippling-based rewriting into matrix-based logical proof search. The selection of appropriate connections in a m...
Christoph Kreitz, Brigitte Pientka
GG
2008
Springer
13 years 8 months ago
Resolution-Like Theorem Proving for High-Level Conditions
The tautology problem is the problem to prove the validity of statements. In this paper, we present a calculus for this undecidable problem on graphical conditions, prove its sound...
Karl-Heinz Pennemann
ADG
2000
Springer
122views Mathematics» more  ADG 2000»
13 years 11 months ago
Automated Theorem Proving in Incidence Geometry - A Bracket Algebra Based Elimination Method
In this paper we propose a bracket algebra based elimination method for automated generation of readable proofs for theorems in incidence geometry. This method is based on two tech...
Hongbo Li, Yihong Wu
CADE
1998
Springer
13 years 11 months ago
Automated Theorem Proving in a Simple Meta-Logic for LF
Abstract. Higher-order representation techniques allow elegant encodings of logics and programming languages in the logical framework LF, but unfortunately they are fundamentally i...
Carsten Schürmann, Frank Pfenning