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Institut für Informatik
 

Technical Report No. 140 - Abstract


Luca Viganò
An O(n log n)-Space Decision Procedure for the Relevance Logic B+ (Extended Version)

In previous work we gave a new proof-theoretical method for establishing upper-bounds on the space complexity of the provability problem of modal and other propositional non-classical logics. Here we extend and refine these results to give an O(n log n) decision procedure for the basic positive relevance logic B+. We compute this upper-bound by first giving a sound and complete, cut-free, labelled sequent system for B+, and then establishing bounds on the application of the rules of this system.


Report No. 140 (PostScript)