Knowledge-based proof planning
Artificial Intelligence
Comparing approaches to the exploration of the domain of residue classes
Journal of Symbolic Computation - Integrated reasoning and algebra systems
The Use of Planning Critics in Mechanizing Inductive Proofs
LPAR '92 Proceedings of the International Conference on Logic Programming and Automated Reasoning
CADE-18 Proceedings of the 18th International Conference on Automated Deduction
The Use of Explicit Plans to Guide Inductive Proofs
Proceedings of the 9th International Conference on Automated Deduction
System Description: Proof Planning in Higher-Order Logic with Lambda-Clam
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
Constraint Solving for Proof Planning
Journal of Automated Reasoning
Journal of Artificial Intelligence Research
Cooperating reasoning processes: more than just the sum of their parts
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
System description: MULTI a multi-strategy proof planner
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
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Monitoring a solution process and applying the right action at the right moment are at the heart of intelligent problem solving by humans. This includes the analysis of failure events and the development of ''recommendations'' to overcome typical failures. In this article, we present how meta-reasoning on failures is used in multiple-strategy proof planning with the Multi system. Multi allows for a flexible traversal of the search space and a flexible construction of the proof plan guided by mathematically motivated heuristics. Because of the flexible control in Multi failures can be exploited to guide subsequent proof plan manipulations and refinements. The failure reasoning cannot only ease the derivation of a solution proof plan but is required for some problems to find a solution at all.