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JAR
2000
97views more  JAR 2000»
13 years 4 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
JCST
2010
189views more  JCST 2010»
12 years 11 months ago
Formally Analyzing Expected Time Complexity of Algorithms Using Theorem Proving
Probabilistic techniques are widely used in the analysis of algorithms to estimate the computational complexity of algorithms or a computational problem. Traditionally, such analys...
Osman Hasan, Sofiène Tahar
AAAI
2000
13 years 6 months ago
The Game of Hex: An Automatic Theorem Proving Approach to Game Programming
The game of Hex is a two-player game with simple rules, a deep underlying mathematical beauty, and a strategic complexity comparable to that of Chess and Go. The massive game-tree...
Vadim V. Anshelevich
ACL
1996
13 years 6 months ago
Higher-Order Coloured Unification and Natural Language Semantics
In this paper, we show that Higher-Order Coloured Unification - a form of unification developed for automated theorem proving - provides a general theory for modeling the interfac...
Claire Gardent, Michael Kohlhase
TAP
2008
Springer
153views Hardware» more  TAP 2008»
13 years 4 months ago
Bounded Relational Analysis of Free Data Types
Abstract. In this paper we report on our first experiences using the relational analysis provided by the Alloy tool with the theorem prover KIV in the context of specifications of ...
Andriy Dunets, Gerhard Schellhorn, Wolfgang Reif