On the Herbrand content of LK

We present a structural representation of the Herbrand content of LK-proofs with cuts of complexity prenex Sigma-2/Pi-2. The representation takes the form of a typed non-deterministic tree grammar of order 2 which generates a finite language of first-order terms that appear in the Herbrand expansion...

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Bibliographic Details
Main Authors: Bahareh Afshari, Stefan Hetzl, Graham E. Leigh
Format: Article
Language:English
Published: Open Publishing Association 2016-06-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1606.06384v1