Abstract
We define a multi-modal version of Computation Tree Logic (ctl) by extending the language with path quantifiers E and A where d denotes one of finitely many dimensions, interpreted over Kripke structures with one total relation for each dimension. As expected, the logic is axiomatised by taking a copy of a ctl axiomatisation for each dimension. Completeness is proved by employing the completeness result for ctl to obtain a model along each dimension in turn. We also show that the logic is decidable and that its satisfiability problem is no harder than the corresponding problem for ctl. We then demonstrate how Normative Systems can be conceived as a natural interpretation of such a multi-dimensional ctl logic.
Original language | English |
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Pages (from-to) | 1-26 |
Number of pages | 26 |
Journal | Studia Logica |
Volume | 92 |
Issue number | 1 |
DOIs | |
Publication status | Published - 01 Jun 2009 |
Bibliographical note
Copyright 2009 Elsevier B.V., All rights reserved.ASJC Scopus subject areas
- Logic