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Title: | On completeness as to ¬-expressibility in a 4-valued provability logic | Authors: | RUSU, Elena RUSU, Andrei |
Keywords: | provability logic;expressibility of formulas;completeness relative to ¬-expressibility | Issue Date: | 2019 | Source: | RUSU, Andrei; RUSU, Elena. On completeness as to ¬-expressibility in a 4-valued provability logic. In: Proceedings IMCS-55The Fifth Conference of Mathematical Society of the Republic of Moldova. 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: Tipografia Valinex, 2019, pp. 142-145. ISBN 978-9975-68-378-4. | Conference: | Conference of Mathematical Society of the Republic of Moldova | Abstract: | The simplest non-trivial 4-valued extension GL4 of the propositional provability logic GL is considered together with the notion of ¬-expressibility of formulas in GL. The necessary and sufficient conditions when a system of formulas of GL4 is complete relative to ¬-expressibility are found out which is formulated in terms of classes formulas that are pre-complete relative to ¬-expressibility. |
URI: | http://cris.utm.md/handle/5014/447 | ISBN: | 978-9975-68-378-4 |
Appears in Collections: | Proceedings Papers |
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