Partial cut elimination for combinations of propositional multi-modal logics with past time
We consider combinations of nine propositional multi-modal logics with propositional discrete linear time temporal logic with past time. For these combinations, we present sound and complete Gentzen-type sequent calculi with a restricted cut rule.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2011-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/15443 |
| _version_ | 1819018338864463872 |
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| author | Jūratė Sakalauskaitė |
| author_facet | Jūratė Sakalauskaitė |
| author_sort | Jūratė Sakalauskaitė |
| collection | DOAJ |
| description | We consider combinations of nine propositional multi-modal logics with propositional discrete linear time temporal logic with past time. For these combinations, we present sound and complete Gentzen-type sequent calculi with a restricted cut rule. |
| first_indexed | 2024-12-21T03:17:50Z |
| format | Article |
| id | doaj.art-fcde1828a843436ba7e04780cb123fd3 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-12-21T03:17:50Z |
| publishDate | 2011-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-fcde1828a843436ba7e04780cb123fd32022-12-21T19:17:47ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2011-12-0152proc. LMS10.15388/LMR.2011.ml07Partial cut elimination for combinations of propositional multi-modal logics with past timeJūratė Sakalauskaitė0Vilnius UniversityWe consider combinations of nine propositional multi-modal logics with propositional discrete linear time temporal logic with past time. For these combinations, we present sound and complete Gentzen-type sequent calculi with a restricted cut rule.https://www.journals.vu.lt/LMR/article/view/15443modal logictemporal logicsequent calculuscut |
| spellingShingle | Jūratė Sakalauskaitė Partial cut elimination for combinations of propositional multi-modal logics with past time Lietuvos Matematikos Rinkinys modal logic temporal logic sequent calculus cut |
| title | Partial cut elimination for combinations of propositional multi-modal logics with past time |
| title_full | Partial cut elimination for combinations of propositional multi-modal logics with past time |
| title_fullStr | Partial cut elimination for combinations of propositional multi-modal logics with past time |
| title_full_unstemmed | Partial cut elimination for combinations of propositional multi-modal logics with past time |
| title_short | Partial cut elimination for combinations of propositional multi-modal logics with past time |
| title_sort | partial cut elimination for combinations of propositional multi modal logics with past time |
| topic | modal logic temporal logic sequent calculus cut |
| url | https://www.journals.vu.lt/LMR/article/view/15443 |
| work_keys_str_mv | AT juratesakalauskaite partialcuteliminationforcombinationsofpropositionalmultimodallogicswithpasttime |