Announcement of technical report

To: types@cis.upenn.edu
Subject: Announcement of technical report
From: Jan Rutten <Jan.Rutten@cwi.nl>
Date: Mon, 15 Oct 2001 17:05:14 +0200
cc: Jan.Rutten@cwi.nl

The following technical report is now
available at ftp.cwi.nl as pub/CWIreports/SEN/SEN-R0120.ps.Z
(also via my home page: http://www.cwi.nl/~janr):

J.J.M.M. Rutten
Elements of stream calculus (an extensive exercise in coinduction) 
Technical Report  SEN-R0120, CWI, Amsterdam, 2001.

Abstract:
Based on the presence of a final coalgebra structure on 
the set of streams (infinite sequences of real numbers), 
a coinductive calculus of streams is developed. 
The main ingredient is the notion of stream derivative, 
with which both coinductive proofs and definitions 
can be formulated. In close analogy to classical analysis, 
the latter are presented as behavioural differential equations. 
A number of applications of the calculus are presented, 
including difference equations, analytical differential equations, 
continued fractions, and some problems from discrete mathematics 
and combinatorics. 

The report will also appear in Volume 45 of 
Elsevier's ENTCS series, which contains 
the proceedings of MFPS 17.