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» Theorem Proving Using Lazy Proof Explication
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RANDOM
1997
Springer
15 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
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
85
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CADE
2012
Springer
12 years 12 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur
CSL
2008
Springer
14 years 11 months ago
Proving Infinitude of Prime Numbers Using Binomial Coefficients
We study the problem of proving in weak theories of Bounded Arithmetic the theorem that there are arbitrarily large prime numbers. We show that the theorem can be proved by some &...
Phuong Nguyen
JAMDS
2002
60views more  JAMDS 2002»
14 years 9 months ago
A simple proof of Suzumura's extension theorem for finite domains with applications
Abstract. In this paper we provide a simple proof of the extension theorem for partial orderings due to Suzumura [1983] when the domain of the partial order is finite. The extensio...
Somdeb Lahiri