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IMPLICATIONAL RELEVANCE LOGIC IS 2-EXPTIME-COMPLETE

Published online by Cambridge University Press:  22 January 2016

SYLVAIN SCHMITZ
SYLVAIN SCHMITZ*
Affiliation:
ENS CACHAN & INRIAFRANCEE-mail:schmitz@lsv.ens-cachan.frURL: http://www.lsv.ens-cachan.fr/∼schmitz
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Abstract

We show that provability in the implicational fragment of relevance logic is complete for doubly exponential time, using reductions to and from coverability in branching vector addition systems.

Keywords

Relevance logicbranching VASSfocusing proofscomplexity
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 2 , June 2016 , pp. 641 - 661
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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