Proof theory of quantified modal logics
We introduce labelled sequent calculi for indexed modal logics. We prove that the structural rules of weakening and contraction are height-preserving admissible, that all rules are invertible, and that cut is admissible. Then we prove that each calculus introduced is sound and complete with respect...
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| Format: | Doctoral Thesis |
| Language: | en |
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Alma Mater Studiorum - Università di Bologna
2014
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| Online Access: | http://amsdottorato.unibo.it/6658/ |
| Summary: | We introduce labelled sequent calculi for indexed modal logics. We prove that the structural rules of weakening and contraction are height-preserving admissible, that all rules are invertible, and that cut is admissible. Then we prove that each calculus introduced is sound and complete with respect to the appropriate class of transition frames. |
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