Title
Pre- And Post-Conditions Expressed In Variants Of The Modal Mu-Calculus
Abstract
Properties of Kripke structures can be expressed by formulas of the modal mu-calculus. Despite its strong expressive power, the validity problem of the modal mu-calculus is decidable, and so are some of its variants enriched by inverse programs, graded modalities, and nominals. In this study, we show that the pre- and post-conditions of transformations of Kripke structures, such as addition/deletion of states and edges, can be expressed using variants of the modal p-calculus. Combined with decision procedures we have developed for those variants, the properties of sequences of transformations on Kripke structures can be deduced. We show that these techniques can be used to verify the properties of pointer-manipulating programs.
Year
DOI
Venue
2009
10.1587/transinf.E92.D.995
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Keywords
DocType
Volume
modal mu-calculus, Kripke structure, precondition, postcondition, pointer
Journal
E92D
Issue
ISSN
Citations 
5
0916-8532
1
PageRank 
References 
Authors
0.36
6
4
Name
Order
Citations
PageRank
Yoshinori Tanabe112413.96
Toshifusa Sekizawa233.78
Yoshifumi Yuasa321.05
Koichi Takahashi4386.30