On intuitionistic branching tense logic with weak induction
In the paper, the first-order branching tense logic calculus is given: LB J with the weak induction, that is to say with the axiom (A ∧ A O ☐ A) ⊃ ☐ A instead of the induction axiom (A ∧ ☐ (A ⊃ O A)) ⊃ ☐ A. The syntactical cut elimination theorem, Harrop's theorem and the interpolation theorem...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
1998-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://ojs.test/index.php/LMR/article/view/37921 |
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| _version_ | 1841561134273921024 |
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| author | Romas Alonderis |
| author_facet | Romas Alonderis |
| author_sort | Romas Alonderis |
| collection | DOAJ |
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In the paper, the first-order branching tense logic calculus is given: LB J with the weak induction, that is to say with the axiom (A ∧ A O ☐ A) ⊃ ☐ A instead of the induction axiom (A ∧ ☐ (A ⊃ O A)) ⊃ ☐ A. The syntactical cut elimination theorem, Harrop's theorem and the interpolation theorem is proved here with respect to the LB J calculus.
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| format | Article |
| id | doaj-art-aa14758777f34e219272606df96b374d |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 1998-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-aa14758777f34e219272606df96b374d2025-01-03T06:37:54ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1998-12-0138II10.15388/LMD.1998.37921On intuitionistic branching tense logic with weak inductionRomas Alonderis0Institute of Mathematics and Informatics In the paper, the first-order branching tense logic calculus is given: LB J with the weak induction, that is to say with the axiom (A ∧ A O ☐ A) ⊃ ☐ A instead of the induction axiom (A ∧ ☐ (A ⊃ O A)) ⊃ ☐ A. The syntactical cut elimination theorem, Harrop's theorem and the interpolation theorem is proved here with respect to the LB J calculus. https://ojs.test/index.php/LMR/article/view/37921 |
| spellingShingle | Romas Alonderis On intuitionistic branching tense logic with weak induction Lietuvos Matematikos Rinkinys |
| title | On intuitionistic branching tense logic with weak induction |
| title_full | On intuitionistic branching tense logic with weak induction |
| title_fullStr | On intuitionistic branching tense logic with weak induction |
| title_full_unstemmed | On intuitionistic branching tense logic with weak induction |
| title_short | On intuitionistic branching tense logic with weak induction |
| title_sort | on intuitionistic branching tense logic with weak induction |
| url | https://ojs.test/index.php/LMR/article/view/37921 |
| work_keys_str_mv | AT romasalonderis onintuitionisticbranchingtenselogicwithweakinduction |