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IJCAI
2003
13 years 11 months ago
Practical Partition-Based Theorem Proving for Large Knowledge Bases
Query answering over commonsense knowledge bases typically employs a first-order logic theorem prover. While first-order inference is intractable in general, provers can often b...
Bill MacCartney, Sheila A. McIlraith, Eyal Amir, T...
ENTCS
2006
125views more  ENTCS 2006»
13 years 9 months ago
An Even Closer Integration of Linear Arithmetic into Inductive Theorem Proving
To broaden the scope of decision procedures for linear arithmetic, they have to be integrated into theorem provers. Successful approaches e.g. in NQTHM or ACL2 suggest a close int...
Tobias Schmidt-Samoa
RANDOM
1997
Springer
14 years 1 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
14 years 1 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 11 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