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CORR
2010
Springer
143views Education» more  CORR 2010»
14 years 9 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook
IS
2006
14 years 9 months ago
Composition of Semantic Web services using Linear Logic theorem proving
This paper introduces a method for automatic composition of Semantic Web services using Linear Logic (LL) theorem proving. The method uses a Semantic Web service language (DAML-S)...
Jinghai Rao, Peep Küngas, Mihhail Matskin
IGPL
1998
97views more  IGPL 1998»
14 years 9 months ago
Towards Structurally-Free Theorem Proving
Is it possible to compute in which logics a given formula is deducible? The aim of this paper is to provide a formal basis to answer positively this question in the context of sub...
Marcelo Finger
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
JAR
2008
88views more  JAR 2008»
14 years 9 months ago
Using Theorem Proving to Verify Expectation and Variance for Discrete Random Variables
Statistical quantities, such as expectation (mean) and variance, play a vital role in the present age probabilistic analysis. In this paper, we present some formalization of expect...
Osman Hasan, Sofiène Tahar