A characterization of medial as rewriting rule

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Abstract

Medial is an inference rule scheme that appears in various deductive systems based on deep inference. In this paper we investigate the properties of medial as rewriting rule independently from logic. We present a graph theoretical criterion for checking whether there exists a medial rewriting path between two formulas. Finally, we return to logic and apply our criterion for giving a combinatorial proof for a decomposition theorem, i.e., proof theoretical statement about syntax.

Original languageEnglish
Title of host publicationTerm Rewriting and Applications - 18th International Conference, RTA 2007, Proceedings
PublisherSpringer Verlag
Pages344-358
Number of pages15
ISBN (Print)9783540734475
DOIs
Publication statusPublished - 1 Jan 2007
Externally publishedYes
Event18th International Conference on Rewriting Techniques and Applications, RTA 2007 - Paris, France
Duration: 26 Jun 200728 Jun 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4533 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Rewriting Techniques and Applications, RTA 2007
Country/TerritoryFrance
CityParis
Period26/06/0728/06/07

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