Title
Coalgebraic Trace Semantics for Buechi and Parity Automata.
Abstract
Despite its success in producing numerous general results on state-based dynamics, theory of coalgebra has struggled to accommodate Buechi acceptance condition---a basic notion in the theory of automata for infinite words or trees. In this paper we present a clean answer to question that builds on maximality characterization of infinite traces (by Jacobs and Cirstea): accepted language of a Buechi automaton is characterized by two commuting diagrams, one for a least homomorphism and other for a greatest, much like in a system of (least and greatest) fixed-point equations. This characterization works uniformly for nondeterministic branching and probabilistic one; and for words and trees alike. We present our results in terms of parity acceptance condition that generalizes Buechiu0027s.
Year
DOI
Venue
2016
10.4230/LIPIcs.CONCUR.2016.24
international conference on concurrency theory
DocType
Volume
Citations 
Conference
abs/1606.09399
2
PageRank 
References 
Authors
0.39
1
3
Name
Order
Citations
PageRank
Natsuki Urabe1144.69
Shunsuke Shimizu251.12
Ichiro Hasuo326026.13