Dialogue Systems as Proof Editors

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This paper shows how a dialogue system for information-seeking dialogues can be implemented in a type-theory-based syntax editor, originally developed for editing mathematical proofs. The implementation gives a simple logical metatheory to such dialogue systems and also suggests new functions for them, e.g., a local undo operation. The method developed provides a logically based declarative way of implementing simple dialogue systems that is easy to port to new domains.