From ab8cc85adde879fb963c94d15675783f2cf4b183 Mon Sep 17 00:00:00 2001
From: dos-reis <gdr@axiomatics.org>
Date: Tue, 14 Aug 2007 05:14:52 +0000
Subject: Initial population.

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 src/algebra/ystream.spad.pamphlet | 96 +++++++++++++++++++++++++++++++++++++++
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diff --git a/src/algebra/ystream.spad.pamphlet b/src/algebra/ystream.spad.pamphlet
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra ystream.spad}
+\author{William Burge, Stephen M. Watt, Clifton J. Williamson}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{package YSTREAM ParadoxicalCombinatorsForStreams}
+<<package YSTREAM ParadoxicalCombinatorsForStreams>>=
+)abbrev package YSTREAM ParadoxicalCombinatorsForStreams
+++ Computation of fixed points of mappings on streams
+++ Author: Burge, Watt (revised by Williamson)
+++ Date Created: 1986
+++ Date Last Updated: 21 October 1989
+++ Keywords: stream, fixed point
+++ Examples:
+++ References:
+ParadoxicalCombinatorsForStreams(A):Exports == Implementation where
+  ++ This package implements fixed-point computations on streams.
+  A  :   Type
+  ST ==> Stream
+  L  ==> List
+  I  ==> Integer
+ 
+  Exports ==> with
+    Y: (ST A -> ST A) -> ST A
+      ++ Y(f) computes a fixed point of the function f.
+    Y: (L ST A -> L ST A,I) -> L ST A
+      ++ Y(g,n) computes a fixed point of the function g, where g takes
+      ++ a list of n streams and returns a list of n streams.
+ 
+  Implementation ==> add
+ 
+    Y f ==
+      y : ST A := CONS(0$I,0$I)$Lisp
+      j := f y
+      RPLACA(y,frst j)$Lisp
+      RPLACD(y,rst j)$Lisp
+      y
+ 
+    Y(g,n) ==
+      x : L ST A := [CONS(0$I,0$I)$Lisp for i in 1..n]
+      j := g x
+      for xi in x for ji in j repeat
+        RPLACA(xi,frst ji)$Lisp
+        RPLACD(xi,rst ji)$Lisp
+      x
+
+@
+\section{License}
+<<license>>=
+--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
+--All rights reserved.
+--
+--Redistribution and use in source and binary forms, with or without
+--modification, are permitted provided that the following conditions are
+--met:
+--
+--    - Redistributions of source code must retain the above copyright
+--      notice, this list of conditions and the following disclaimer.
+--
+--    - Redistributions in binary form must reproduce the above copyright
+--      notice, this list of conditions and the following disclaimer in
+--      the documentation and/or other materials provided with the
+--      distribution.
+--
+--    - Neither the name of The Numerical ALgorithms Group Ltd. nor the
+--      names of its contributors may be used to endorse or promote products
+--      derived from this software without specific prior written permission.
+--
+--THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
+--IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+--TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
+--PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
+--OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+--EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+--PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+--PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+--LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+--NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+--SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+@
+<<*>>=
+<<license>>
+ 
+<<package YSTREAM ParadoxicalCombinatorsForStreams>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
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