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Book Chapter
Impasse-Driven Reasoning in Proof Planning
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 3863/2006
Book
Mathematical Knowledge Management
DOI
10.1007/11618027
Copyright
2006
ISBN
978-3-540-31430-1
Category
Session IV: Proving
DOI
10.1007/11618027_10
Pages
143-158
Subject Collection
Computer Science
SpringerLink Date
Friday, January 20, 2006
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Session IV: Proving
Impasse-Driven Reasoning in Proof Planning
Andreas Meier
1
and Erica Melis
1
(1)
German Research Center for Artificial Intelligence (DFKI), Saarbrücken, Germany
Abstract
In a problem solving process, a step may not result in the expected progress or may not be applicable as expected. Hence, knowledge how to overcome and react to impasses and other failures is an important ingredient of successful mathematical problem solving. To employ such knowledge in a proving system requires a variety of behaviors and a flexible control. Multi-strategy proof planning is a knowledge-based theorem proving approach that provides a variety of strategies and knowledge-based guidance for search at different levels. This paper introduces reasoning about impasses as a natural ingredient of meta-reasoning at a strategic level and illustrates the use of knowledge about failure handling in the proof planner
.
Andreas
Meier
Email:
ameier@dfki.de
Erica
Melis
Email:
melis@dfki.de
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