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http://hdl.handle.net/11320/4910
Tytuł: | Propositional Linear Temporal Logic with Initial Validity Semantics |
Autorzy: | Giero, Mariusz |
Słowa kluczowe: | temporal logic very strict until operator completeness |
Data wydania: | 2015 |
Data dodania: | 16-gru-2016 |
Wydawca: | De Gruyter Open |
Źródło: | Formalized Mathematics, Volume 23, Issue 4, 379–386 |
Abstrakt: | In the article [10] a formal system for Propositional Linear Temporal Logic (in short LTLB) with normal semantics is introduced. The language of this logic consists of “until” operator in a very strict version. The very strict “until” operator enables to express all other temporal operators.In this article we construct a formal system for LTLB with the initial semantics [12]. Initial semantics means that we define the validity of the formula in a model as satisfaction in the initial state of model while normal semantics means that we define the validity as satisfaction in all states of model. We prove the Deduction Theorem, and the soundness and completeness of the introduced formal system. We also prove some theorems to compare both formal systems, i.e., the one introduced in the article [10] and the one introduced in this article.Formal systems for temporal logics are applied in the verification of computer programs. In order to carry out the verification one has to derive an appropriate formula within a selected formal system. The formal systems introduced in [10] and in this article can be used to carry out such verifications in Mizar [4]. |
Afiliacja: | Faculty of Economics and Informatics, University of Białystok, Kalvariju 135, LT-08221 Vilnius, Lithuania |
Sponsorzy: | This work was supported by the University of Bialystok grants: BST447 Formalization of temporal logics in a proof-assistant. Application to System Verification , and BST225 Database of mathematical texts checked by computer. |
URI: | http://hdl.handle.net/11320/4910 |
DOI: | 10.1515/forma-2015-0030 |
ISSN: | 1426-2630 1898-9934 |
Typ Dokumentu: | Article |
Występuje w kolekcji(ach): | Artykuły naukowe (WEI) Formalized Mathematics, 2015, Volume 23, Issue 4 |
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