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...
Sometimes it is pragmatically useful to prove a theorem by contradiction rather than finding a direct proof. Some reductio ad absurdum arguments have made mathematical history and ...
The integration of constraint solvers into proof planning has pushed the problem solving horizon. Proof planning benefits from the general functionalities of a constraint solver s...
We describe a system for the synthesis of logic programs from specifications based on higher-order logical descriptions of appropriate refinement operations. The system has been ...
We describe proof planning: a technique for both describing the hierarchical structure of proofs and then using this structure to guide proof attempts. When such a proof attempt fa...
Proof planning is an automated reasoning technique which improves proof search by raising it to a meta-level. In this paper we apply proof planning to First-Order Linear Temporal L...