Equational inference, canonical proofs, and proof orderings
Journal of the ACM (JACM)
Term rewriting and all that
Completion Procedures as Transition Rules + Control
TAPSOFT '89/CAAP '89 Proceedings of the International Joint Conference on Theory and Practice of Software Development, Volume 1: Advanced Seminar on Foundations of Innovative Software Development I and Colloquium on Trees in Algebra and Programming
Multi-completion with Termination Tools (System Description)
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
RTA '09 Proceedings of the 20th International Conference on Rewriting Techniques and Applications
Certification of Termination Proofs Using CeTA
TPHOLs '09 Proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics
Slothrop: Knuth-Bendix completion with a modern termination checker
RTA'06 Proceedings of the 17th international conference on Term Rewriting and Applications
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This paper describes a tool for Knuth-Bendix completion. In its interactive mode the user only has to select the orientation of equations into rewrite rules; all other computations (including necessary termination checks) are performed internally. Apart from the interactive mode, the tool also provides a fully automatic mode. Moreover, the generation of (dis)proofs in equational logic is supported. Finally, the tool outputs proofs in a certifiable format.