Rippling: a heuristic for guiding inductive proofs
Artificial Intelligence
Temporal logic (vol. 1): mathematical foundations and computational aspects
Temporal logic (vol. 1): mathematical foundations and computational aspects
ACM Transactions on Computational Logic (TOCL)
Software Development: A Rigorous Approach
Software Development: A Rigorous Approach
Annals of Mathematics and Artificial Intelligence
Higher-Order Annotated Terms for Proof Search
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
Towards First-Order Temporal Resolution
KI '01 Proceedings of the Joint German/Austrian Conference on AI: Advances in Artificial Intelligence
The Use of Explicit Plans to Guide Inductive Proofs
Proceedings of the 9th International Conference on Automated Deduction
Proceedings of the 10th 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
A divergence critic for inductive proof
Journal of Artificial Intelligence Research
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Proof critics are a technology from the proof planning paradigm. They examine failed proof attempts in order to extract information which can be used to generate a patch which will allow the proof to go through.We consider the proof of the "whisky problem", a challenge problem from the domain of temporal logic. The proof requires a generalisation of the original conjecture and we examine two proof critics which can be used to create this generalisation. Using these critics we believe we have produced the first automatic proofs of this challenge problem.We use this example to motivate a comparison of the two critics and propose that there is a place for specialist critics as well as powerful general critics. In particular we advocate the development of critics that do not use meta-variables.