OpenAxiom displays Equation(Domain)
as:
(3) -> V1=V2
LISP output:
(UNPRINTABLE . UNPRINTABLE)
Type: Equation Domain
(4) -> %::Boolean
Internal Error
The function = with signature (%,%) -> Boolean is missing from
domain Domain
and is missing equality.
\begin{axiom}
V1:=DirectProduct?(3+4,Integer)
V2:=DirectProduct?(7,Integer)
V1=V2
%::Boolean
(V1=V2)$Domain
\end{axiom}
Axiom Version: => /usr/local/lib/open-axiom/x86_64-unknown-linux/1.2.0-2008-05-25
Putting Domain
in SetCategory
is one possible solution to this problem:
\begin{spad}
)abbrev domain DOMAIN Domain
++ Author: Gabriel Dos Reis
++ Date Create: October 18, 2007.
++ Modified: Bill Page
++ Date Last Updated: June 17, 2008.
++ Basic Operations: coerce, reify
++ Related Constructors: Type, Syntax, OutputForm?
++ Also See: Type, ConstructorCall?
Domain(): Public == Private where
Public ==> SetCategory? with
reify: % -> ConstructorCall?
++ reify(d) returns the abstract syntax for the domain `x'. reflect: ConstructorCall? -> %
++ reflect cc returns the domain object designated by the
++ ConstructorCall? syntax `cc'. The constructor implied
++ by `cc' must be known to the system since it is instantiated.
showSummary: % -> Void
++ showSummary(d) prints out implementation detail information
++ of domain `d'.
Private ==> add
coerce x ==
outputDomainConstructor(x)$Lisp
x = y ==
x0 := reify(x)
y0 := reify(y)
constructorName(x0)=constructorName(y0) and arguments(x0)=arguments(y0)
reify x ==
devaluate(x)$Lisp @ ConstructorCall?
reflect cc ==
evalDomain(cc)$Lisp @ %
showSummary x ==
showSummary(x)$Lisp
\end{spad}
\begin{axiom}
(V1=V2)@Boolean
(Complex Integer = Complex Float)@Boolean
\end{axiom}
\begin{axiom}
V1=V2
%::Boolean
\end{axiom}
Status: open => closed
Some or all expressions may not have rendered properly,
because Axiom returned the following error:
Error: export AXIOM=/usr/local/lib/open-axiom/x86_64-unknown-linux/1.2.0-2008-05-25; export ALDORROOT=/usr/local/aldor/linux/1.1.0; export PATH=$ALDORROOT/bin:$PATH; export HOME=/var/zope2/var/LatexWiki; ulimit -t 600; export LD_LIBRARY_PATH=/usr/local/lib/open-axiom/x86_64-unknown-linux/1.2.0-2008-05-25/lib; LANG=en_US.UTF-8 $AXIOM/bin/AXIOMsys < /var/zope2/var/LatexWiki/6261284722867064244-25px.axm
/bin/sh: /usr/local/lib/open-axiom/x86_64-unknown-linux/1.2.0-2008-05-25/bin/AXIOMsys: not found
Some or all expressions may not have rendered properly,
because Latex returned the following error:
This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6)
\write18 enabled.
%&-line parsing enabled.
entering extended mode
(./4574821801308431686-16.0px.tex
LaTeX2e <2005/12/01>
Babel <v3.8h> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, arabic, farsi, croatian, ukrainian, russian, bulgarian, czech, slov
ak, danish, dutch, finnish, basque, french, german, ngerman, ibycus, greek, mon
ogreek, ancientgreek, hungarian, italian, latin, mongolian, norsk, icelandic, i
nterlingua, turkish, coptic, romanian, welsh, serbian, slovenian, estonian, esp
eranto, uppersorbian, indonesian, polish, portuguese, spanish, catalan, galicia
n, swedish, ukenglish, pinyin, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2005/09/16 v1.4f Standard LaTeX document class
(/usr/share/texmf-texlive/tex/latex/base/size12.clo))
(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
(/usr/share/texmf-texlive/tex/latex/ucs/utf8x.def))
(/usr/share/texmf-texlive/tex/latex/bbm/bbm.sty)
(/usr/share/texmf-texlive/tex/latex/jknapltx/mathrsfs.sty)
(/usr/share/texmf-texlive/tex/latex/base/fontenc.sty
(/usr/share/texmf-texlive/tex/latex/base/t1enc.def))
(/usr/share/texmf-texlive/tex/latex/pstricks/pstricks.sty
(/usr/share/texmf-texlive/tex/generic/pstricks/pstricks.tex
`PSTricks' v1.15 <2006/12/22> (tvz)
(/usr/share/texmf-texlive/tex/generic/pstricks/pstricks.con))
(/usr/share/texmf/tex/latex/xcolor/xcolor.sty
(/etc/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def)))
(/usr/share/texmf-texlive/tex/latex/graphics/epsfig.sty
(/usr/share/texmf-texlive/tex/latex/graphics/graphicx.sty
(/usr/share/texmf-texlive/tex/latex/graphics/keyval.sty)
(/usr/share/texmf-texlive/tex/latex/graphics/graphics.sty
(/usr/share/texmf-texlive/tex/latex/graphics/trig.sty)
(/etc/texmf/tex/latex/config/graphics.cfg))))
(/usr/share/texmf-texlive/tex/latex/pst-grad/pst-grad.sty
(/usr/share/texmf-texlive/tex/generic/pst-grad/pst-grad.tex
(/usr/share/texmf-texlive/tex/latex/xkeyval/pst-xkey.tex
(/usr/share/texmf-texlive/tex/latex/xkeyval/xkeyval.sty
(/usr/share/texmf-texlive/tex/latex/xkeyval/xkeyval.tex)))
`pst-plot' v1.05, 2006/11/04 (tvz,dg,hv)))
(/usr/share/texmf-texlive/tex/latex/pstricks/pst-plot.sty
(/usr/share/texmf-texlive/tex/generic/pstricks/pst-plot.tex
v97 patch 2, 1999/12/12
(/usr/share/texmf-texlive/tex/generic/multido/multido.tex
v1.41, 2004/05/18 <tvz>))) (/usr/share/texmf-texlive/tex/generic/xypic/xy.sty
(/usr/share/texmf-texlive/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes,
docmode, (/usr/share/texmf-texlive/tex/generic/xypic/xyrecat.tex)
(/usr/share/texmf-texlive/tex/generic/xypic/xyidioms.tex) Xy-pic version 3.7 <1999/02/16>
Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr>
Xy-pic is free software: see the User's Guide for details.
Loading kernel: messages; fonts; allocations: state, direction,
utility macros; pictures: \xy, positions, objects, decorations;
kernel objects: directionals, circles, text; options; algorithms: directions,
edges, connections; Xy-pic loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyall.tex
Xy-pic option: All features v.3.3
(/usr/share/texmf-texlive/tex/generic/xypic/xycurve.tex
Xy-pic option: Curve and Spline extension v.3.7 curve, circles, loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyframe.tex
Xy-pic option: Frame and Bracket extension v.3.7 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xycmtip.tex
Xy-pic option: Computer Modern tip extension v.3.3
(/usr/share/texmf-texlive/tex/generic/xypic/xytips.tex
Xy-pic option: More Tips extension v.3.3 loaded) loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyline.tex
Xy-pic option: Line styles extension v.3.6 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyrotate.tex
Xy-pic option: Rotate and Scale extension v.3.3 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xycolor.tex
Xy-pic option: Colour extension v.3.3 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xymatrix.tex
Xy-pic option: Matrix feature v.3.4 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyarrow.tex
Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xygraph.tex
Xy-pic option: Graph feature v.3.7 loaded) loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyknot.tex
Xy-pic option: Knots and Links feature v.3.4 knots and links, loaded))
(/usr/share/texmf-texlive/tex/generic/xypic/xyarc.tex
Xy-pic option: Circle, Ellipse, Arc feature v.3.4 circles, ellipses,
elliptical arcs, loaded)
(/usr/share/texmf-texlive/tex/latex/geometry/geometry.sty
(/usr/share/texmf-texlive/tex/xelatex/xetexconfig/geometry.cfg)
Package geometry Warning: `lmargin' and `rmargin' result in NEGATIVE (-108.405p
t).
`width' should be shortened in length.
) (/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `? option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty)
(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/setspace/setspace.sty
Package: `setspace
6.7 <2000/12/01>
) (/usr/share/texmf-texlive/tex/latex/tools/verbatim.sty)
(/usr/share/texmf/tex/latex/graphviz/graphviz.sty
(/usr/share/texmf-texlive/tex/latex/psfrag/psfrag.sty))
(/usr/share/texmf/tex/latex/sagetex.sty
Writing sage input file 4574821801308431686-16.0px.sage
(./4574821801308431686-16.0px.sout))
(/usr/share/texmf-texlive/tex/latex/gnuplottex/gnuplottex.sty
(/usr/share/texmf-texlive/tex/latex/base/latexsym.sty)
(/usr/share/texmf-texlive/tex/latex/moreverb/moreverb.sty)
(/usr/share/texmf-texlive/tex/latex/base/ifthen.sty))
(./4574821801308431686-16.0px.aux)
(/usr/share/texmf-texlive/tex/latex/ucs/ucsencs.def)
(/usr/share/texmf-texlive/tex/latex/base/t1cmtt.fd)
LaTeX Warning: Characters dropped after `\end{axiom}' on input line 128.
(/usr/share/texmf-texlive/tex/latex/jknapltx/ursfs.fd)
(/usr/share/texmf-texlive/tex/latex/amsfonts/umsa.fd)
(/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd)
(/usr/share/texmf-texlive/tex/latex/base/ulasy.fd)
Missing $ inserted.
<inserted text>
$
l.155
Missing $ inserted.
<inserted text>
$
l.163
Missing $ inserted.
<inserted text>
$
l.166
Missing $ inserted.
<inserted text>
$
l.169
[1]
LaTeX Warning: Characters dropped after `\end{axiom}' on input line 174.
LaTeX Warning: Characters dropped after `\end{axiom}' on input line 178.
[2] (./4574821801308431686-16.0px.aux) )
(see the transcript file for additional information)
Output written on 4574821801308431686-16.0px.dvi (2 pages, 2308 bytes).
Transcript written on 4574821801308431686-16.0px.log.