Productivity of Stream Definitions

Jörg Endrullis, Clemens Grabmayer, Dimitri Hendriks, Ariya Isihara, Jan Klop

Research output: Contribution to JournalArticleAcademicpeer-review

164 Downloads (Pure)

Abstract

We give an algorithm for deciding productivity of a large and natural class of recursive stream definitions. A stream definition is called ‘productive’ if it can be evaluated continuously in such a way that a uniquely determined stream is obtained as the limit. Whereas productivity is undecidable for stream definitions in general, we show that it can be decided for ‘pure’ stream definitions. For every pure stream definition the process of its evaluation can be modelled by the dataflow of abstract stream elements, called ‘pebbles’, in a finite ‘pebbleflow net(work)’. And the production of a pebbleflow net associated with a pure stream definition, that is, the amount of pebbles the net is able to produce at its output port, can be calculated by reducing nets to trivial nets.
Original languageEnglish
Pages (from-to)274-287
JournalFundamentals of Computation Theory
Publication statusPublished - 2007

Fingerprint

Dive into the research topics of 'Productivity of Stream Definitions'. Together they form a unique fingerprint.

Cite this