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
Proof Planning with Multiple Strategies
CL '00 Proceedings of the First International Conference on Computational Logic
The Use of Explicit Plans to Guide Inductive Proofs
Proceedings of the 9th International Conference on Automated Deduction
Constrained resolution: a complete method for higher-order logic.
Constrained resolution: a complete method for higher-order logic.
Constraint Solving for Proof Planning
Journal of Automated Reasoning
System description: MULTI a multi-strategy proof planner
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
Proof planning with multiple strategies
Artificial Intelligence
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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 multi.