A Modal BI Logic for Dynamic Resource Properties
Identifieur interne : 001666 ( Main/Exploration ); précédent : 001665; suivant : 001667A Modal BI Logic for Dynamic Resource Properties
Auteurs : J. R. Courtault [France] ; D. Galmiche [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: The logic of Bunched implications (BI) and its variants or extensions provide a powerful framework to deal with resources having static properties. In this paper, we propose a modal extension of BI logic, called DBI, which allows us to deal with dynamic resource properties. After defining a Kripke semantics for DBI, we illustrate the interest of DBI for expressing some dynamic properties and then we propose a labelled tableaux calculus for this logic. This calculus is proved sound and complete w.r.t. the Kripke semantics. Moreover, we also give a method for countermodel generation in this logic.
Url:
DOI: 10.1007/978-3-642-35722-0_10
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: The logic of Bunched implications (BI) and its variants or extensions provide a powerful framework to deal with resources having static properties. In this paper, we propose a modal extension of BI logic, called DBI, which allows us to deal with dynamic resource properties. After defining a Kripke semantics for DBI, we illustrate the interest of DBI for expressing some dynamic properties and then we propose a labelled tableaux calculus for this logic. This calculus is proved sound and complete w.r.t. the Kripke semantics. Moreover, we also give a method for countermodel generation in this logic.</div>
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