Initial population.

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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra variable.spad}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{domain OVAR OrderedVariableList}
+<<domain OVAR OrderedVariableList>>=
+)abbrev domain OVAR OrderedVariableList
+++ Description:
+++ This domain implements ordered variables
+OrderedVariableList(VariableList:List Symbol):
+  Join(OrderedFinite, ConvertibleTo Symbol, ConvertibleTo InputForm,
+       ConvertibleTo Pattern Float, ConvertibleTo Pattern Integer) with
+         variable: Symbol -> Union(%,"failed")
+		++ variable(s) returns a member of the variable set or failed
+    == add
+       VariableList := removeDuplicates VariableList
+       Rep := PositiveInteger
+       s1,s2:%
+       convert(s1):Symbol == VariableList.((s1::Rep)::PositiveInteger)
+       coerce(s1):OutputForm == (convert(s1)@Symbol)::OutputForm
+       convert(s1):InputForm == convert(convert(s1)@Symbol)
+       convert(s1):Pattern(Integer) == convert(convert(s1)@Symbol)
+       convert(s1):Pattern(Float) == convert(convert(s1)@Symbol)
+       index i   == i::%
+       lookup j  == j :: Rep
+       size ()   == #VariableList
+       variable(exp:Symbol) ==
+            for i in 1.. for exp2 in VariableList repeat
+                if exp=exp2 then return i::PositiveInteger::%
+            "failed"
+       s1 < s2 == s2 <$Rep s1
+       s1 = s2 == s1 =$Rep s2
+       latex(x:%):String      == latex(convert(x)@Symbol)
+
+@
+\section{domain VARIABLE Variable}
+<<domain VARIABLE Variable>>=
+)abbrev domain VARIABLE Variable
+++ Description:
+++ This domain implements variables
+Variable(sym:Symbol): Join(SetCategory, CoercibleTo Symbol) with
+        coerce  : % -> Symbol
+		++ coerce(x) returns the symbol
+        variable: () -> Symbol
+		++ variable() returns the symbol
+    == add
+        coerce(x:%):Symbol     == sym
+        coerce(x:%):OutputForm == sym::OutputForm
+        variable()             == sym
+        x = y                  == true
+        latex(x:%):String      == latex sym
+
+@
+\section{domain RULECOLD RuleCalled}
+<<domain RULECOLD RuleCalled>>=
+)abbrev domain RULECOLD RuleCalled
+++ Description:
+++ This domain implements named rules 
+RuleCalled(f:Symbol): SetCategory with 
+	name: % -> Symbol 
+		++ name(x) returns the symbol
+ == add
+  name r                 == f
+  coerce(r:%):OutputForm == f::OutputForm
+  x = y                  == true
+  latex(x:%):String      == latex f
+
+@
+\section{domain FUNCTION FunctionCalled}
+<<domain FUNCTION FunctionCalled>>=
+)abbrev domain FUNCTION FunctionCalled
+++ Description:
+++ This domain implements named functions
+FunctionCalled(f:Symbol): SetCategory with 
+	name: % -> Symbol 
+		++ name(x) returns the symbol
+  == add
+   name r                 == f
+   coerce(r:%):OutputForm == f::OutputForm
+   x = y                  == true
+   latex(x:%):String      == latex f
+
+@
+\section{domain ANON AnonymousFunction}
+<<domain ANON AnonymousFunction>>=
+)abbrev domain ANON AnonymousFunction
+++ Description:
+++ This domain implements anonymous functions
+AnonymousFunction():SetCategory == add
+  coerce(x:%):OutputForm == x pretend OutputForm
+
+@
+\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>>
+
+<<domain VARIABLE Variable>>
+<<domain RULECOLD RuleCalled>>
+<<domain FUNCTION FunctionCalled>>
+<<domain OVAR OrderedVariableList>>
+<<domain ANON AnonymousFunction>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}