## Non-Deterministic Kleene Coalgebras

by
Alexandra Silva
,
Marcello Bonsangue
,
Jan Rutten

Citations: | 15 - 4 self |

### BibTeX

@MISC{Silva_non-deterministickleene,

author = {Alexandra Silva and Marcello Bonsangue and Jan Rutten},

title = {Non-Deterministic Kleene Coalgebras},

year = {}

}

### OpenURL

### Abstract

In this paper, we present a systematic way of deriving (1) languages of (generalised) regular expressions, and (2) sound and complete axiomatizations thereof, for a wide variety of systems. This generalizes both the results of Kleene (on regular languages and deterministic finite automata) and Milner (on regular behaviours and finite labelled transition systems), and includes many other systems such as Mealy and Moore machines.