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» Assertion Application in Theorem Proving and Proof Planning
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TPHOL
2003
IEEE
13 years 10 months ago
Applications of Polytypism in Theorem Proving
Abstract. Polytypic functions have mainly been studied in the context of functional programming languages. In that setting, applications of polytypism include elegant treatments of...
Konrad Slind, Joe Hurd
COMBINATORICS
2006
155views more  COMBINATORICS 2006»
13 years 5 months ago
Orthogonal Art Galleries with Holes: A Coloring Proof of Aggarwal's Theorem
We prove that n+h 4 vertex guards are always sufficient to see the entire interior of an n-vertex orthogonal polygon P with an arbitrary number h of holes provided that there exis...
Pawel Zylinski
CADE
2003
Springer
14 years 5 months ago
IsaPlanner: A Prototype Proof Planner in Isabelle
IsaPlanner is a generic framework for proof planning in the interactive theorem prover Isabelle. It facilitates the encoding of reasoning techniques, which can be used to conjectur...
Lucas Dixon, Jacques D. Fleuriot
RANDOM
1997
Springer
13 years 9 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
IUI
2010
ACM
13 years 11 months ago
Intelligent understanding of handwritten geometry theorem proving
Computer-based geometry systems have been widely used for teaching and learning, but largely based on mouse-andkeyboard interaction, these systems usually require users to draw fi...
Yingying Jiang, Feng Tian, Hongan Wang, Xiaolong Z...