David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Transition systems can be viewed either as process diagrams or as Kripke structures. The rst perspective is that of process theory, the second that of modal logic. This paper shows how various formalisms of modal logic can be brought to bear on processes. Notions of bisimulation can not only be motivated by operations on transition systems, but they can also be suggested by investigations of modal formalisms. To show that the equational view of processes from process algebra is closely related to modal logic, we consider various ways of looking at the relation between the calculus of basic process algebra and propositional dynamic logic. More concretely, the paper contains preservation results for various bisimulation notions, a result on the expressive power of propositional dynamic logic, and a de nition of bisimulation which is the proper notion of invariance for concurrent propositional dynamic logic.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
Johan van Benthem, Sujata Ghosh & Fenrong Liu (2008). Modelling Simultaneous Games in Dynamic Logic. Synthese 165 (2):247-268.
Johan Van Benthem, Sujata Ghosh & Fenrong Liu (2008). Modelling Simultaneous Games in Dynamic Logic. Synthese 165 (2):247 - 268.
Similar books and articles
Johan Van Benthem & Jan Bergstra (1994). Logic of Transition Systems. Journal of Logic, Language and Information 3 (4):247-283.
Balder ten Cate (2006). Expressivity of Second Order Propositional Modal Logic. Journal of Philosophical Logic 35 (2):209 - 223.
Balder ten Cate (2006). Expressivity of Second Order Propositional Modal Logic. Journal of Philosophical Logic 35 (2):209-223.
Johan Van Benthem (1998). Program Constructions That Are Safe for Bisimulation. Studia Logica 60 (2):311-330.
Johan Van Benthem (1998). Program Constructions That Are Safe for Bisimulation. Studia Logica 60 (2):311 - 330.
Sally Popkorn (1994). First Steps in Modal Logic. Cambridge University Press.
Kosta Došen (1992). Modal Logic as Metalogic. Journal of Logic, Language and Information 1 (3):173-201.
Milan Božić & Kosta Došen (1984). Models for Normal Intuitionistic Modal Logics. Studia Logica 43 (3):217 - 245.
Patrick Blackburn (2001). Modal Logic as Dialogical Logic. Synthese 127 (1-2):57 - 93.
Maarten de Rijke (1998). A System of Dynamic Modal Logic. Journal of Philosophical Logic 27 (2):109-142.
G. Aldo Antonelli & Richmond H. Thomason (2002). Representability in Second-Order Propositional Poly-Modal Logic. Journal of Symbolic Logic 67 (3):1039-1054.
Patrick Blackburn & Edith Spaan (1993). A Modal Perspective on the Computational Complexity of Attribute Value Grammar. Journal of Logic, Language and Information 2 (2):129-169.
Marcelo E. Coniglio & Newton M. Peron (2013). Modal Extensions of Sub-Classical Logics for Recovering Classical Logic. Logica Universalis 7 (1):71-86.
Added to index2010-12-22
Total downloads5 ( #261,254 of 1,679,402 )
Recent downloads (6 months)2 ( #112,088 of 1,679,402 )
How can I increase my downloads?