Title
Separating the Expressive Power of Propositional Dynamic and Modal Fixpoint Logics.
Abstract
We investigate the expressive power of the two main kinds of program logics for complex, non-regular program properties found in the literature: those extending propositional dynamic logic (PDL), and those extending the modal mu-calculus. This is inspired by the recent discovery of a decidable program logic called Visibly Pushdown Fixpoint Logic with Chop which extends both the modal mu-calculus and PDL over visibly pushdown languages, which, so far, constituted the ends of two pillars of decidable program logics. Here we show that this logic is not only more expressive than either of its two fragments, but in fact even more expressive than their union. Hence, the decidability border amongst program logics has been properly pushed up. We complete the picture by providing results separating all the PDL-based and modal fixpoint logics with regular, visibly pushdown and arbitrary context-free constructions.
Year
DOI
Venue
2021
10.4204/EPTCS.339.4
International Workshop on Expressiveness in Concurrency (EXPRESS)
DocType
ISSN
Citations 
Conference
EPTCS 339, 2021, pp. 10-26
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Eric Alsmann100.34
Florian Bruse211.71
Martin Lange344722.83