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EnglishIn 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)-space 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.
| Titolo: | An O(n log n)-Space Decision Procedure for the Relevance Logic B+ |
| Autori: | |
| Data di pubblicazione: | 2000 |
| Rivista: | |
| Abstract: | 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)-space 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. |
| Handle: | http://hdl.handle.net/11562/235825 |
| Appare nelle tipologie: | 01.01 Articolo in Rivista |
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