Streams, or in nite sequences, are in nite objects of a very simple type, yet they have a rich theory partly due to their ubiquity in mathematics and computer science. Stream di erential equations are a coinductive method for specifying streams and stream operations, and their theory has been developed in many papers over the past two decades. In this paper we present a survey of the many results in this area. Our focus is on the classi cation of di erent formats of stream di erential equations, their solution methods, and the classes of streams they can de ne. Moreover, we describe in detail the connection between the so-called syntactic solution method and abstract GSOS.
Additional Metadata
THEME Software (theme 1)
Publisher CWI
Series Formal methods [FM]
Citation
Hansen, H.H, Kupke, C.A, & Rutten, J.J.M.M. (2014). Stream Di fferential Equations: Specifi cation Formats and Solution Methods. Formal methods [FM]. CWI.