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» Proof and Computation in Geometry
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CHI
2006
ACM
15 years 11 months ago
"Sketching" nurturing creativity: commonalities in art, design, engineering and research
icians or philosophers use abstract symbols to derive formulas or form proofs. Indeed, these sketches are structural geometric proofs, consistent with Plato's supposition that...
Kumiyo Nakakoji, Atau Tanaka, Daniel Fallman
JAR
2000
97views more  JAR 2000»
14 years 10 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
78
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CADE
2010
Springer
15 years 4 days ago
Interpolation and Symbol Elimination in Vampire
It has recently been shown that proofs in which some symbols are colored (e.g. local or split proofs and symbol-eliminating proofs) can be used for a number of applications, such a...
Krystof Hoder, Laura Kovács, Andrei Voronko...
FROCOS
2000
Springer
15 years 2 months ago
Non-Trivial Symbolic Computations in Proof Planning
Abstract. We discuss a pragmatic approach to integrate computer algebra into proof planning. It is based on the idea to separate computation and veri cation and can thereby exploit...
Volker Sorge
FSTTCS
2010
Springer
14 years 9 months ago
On extracting computations from propositional proofs (a survey)
This paper describes a project that aims at showing that propositional proofs of certain tautologies in weak proof system give upper bounds on the computational complexity of func...
Pavel Pudlák