Proving Equality of Streams Automatically

Authors Hans Zantema, Joerg Endrullis

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Hans Zantema
Joerg Endrullis

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Hans Zantema and Joerg Endrullis. Proving Equality of Streams Automatically. In 22nd International Conference on Rewriting Techniques and Applications (RTA'11). Leibniz International Proceedings in Informatics (LIPIcs), Volume 10, pp. 393-408, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


Streams are infinite sequences over a given data type. A stream specification is a set of equations intended to define a stream. In this paper we focus on equality of streams, more precisely, for a given set of equations two stream terms are said to be equal if they are equal in every model satisfying the given equations. We investigate techniques for proving equality of streams suitable for automation. Apart from techniques that were already available in the tool CIRC from Lucanu and Rosu, we also exploit well-definedness of streams, typically proved by proving productivity. Moreover, our approach does not restrict to behavioral input format and does not require termination. We present a tool Streambox that can prove equality of a wide range of examples fully automatically.
  • streams


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