Loop-check elimination for non-transitive distributed knowledge logic
A non-transitive distributed knowledge logic TnD, obtained from multi-modal logic Tn by adding distributed knowledge operator, is considered. Sound and complete loop-check-free sequent calculus for this logic is proposed. Termination of derivations in proposed calculus is justified.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2008-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/18110 |
| _version_ | 1811311135870156800 |
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| author | Aida Pliuškevičienė |
| author_facet | Aida Pliuškevičienė |
| author_sort | Aida Pliuškevičienė |
| collection | DOAJ |
| description | A non-transitive distributed knowledge logic TnD, obtained from multi-modal logic Tn by adding distributed knowledge operator, is considered. Sound and complete loop-check-free sequent calculus for this logic is proposed. Termination of derivations in proposed calculus is justified. |
| first_indexed | 2024-04-13T10:12:26Z |
| format | Article |
| id | doaj.art-dfe0836115c742b3a508fb02c4f7c012 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-13T10:12:26Z |
| publishDate | 2008-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-dfe0836115c742b3a508fb02c4f7c0122022-12-22T02:50:53ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2008-12-0148proc. LMS10.15388/LMR.2008.18110Loop-check elimination for non-transitive distributed knowledge logicAida Pliuškevičienė0Institute of Mathematics and InformaticsA non-transitive distributed knowledge logic TnD, obtained from multi-modal logic Tn by adding distributed knowledge operator, is considered. Sound and complete loop-check-free sequent calculus for this logic is proposed. Termination of derivations in proposed calculus is justified.https://www.journals.vu.lt/LMR/article/view/18110logic of knowledgedistributed knowledgesequent calculusloop-check |
| spellingShingle | Aida Pliuškevičienė Loop-check elimination for non-transitive distributed knowledge logic Lietuvos Matematikos Rinkinys logic of knowledge distributed knowledge sequent calculus loop-check |
| title | Loop-check elimination for non-transitive distributed knowledge logic |
| title_full | Loop-check elimination for non-transitive distributed knowledge logic |
| title_fullStr | Loop-check elimination for non-transitive distributed knowledge logic |
| title_full_unstemmed | Loop-check elimination for non-transitive distributed knowledge logic |
| title_short | Loop-check elimination for non-transitive distributed knowledge logic |
| title_sort | loop check elimination for non transitive distributed knowledge logic |
| topic | logic of knowledge distributed knowledge sequent calculus loop-check |
| url | https://www.journals.vu.lt/LMR/article/view/18110 |
| work_keys_str_mv | AT aidapliuskeviciene loopcheckeliminationfornontransitivedistributedknowledgelogic |