helm/style/lambda.xsl

   1 <?xml version="1.0"?>
   2 <!-- Copyright (C) 2000, HELM Team                                     -->
   3 <!--                                                                   -->
   4 <!-- This file is part of HELM, an Hypertextual, Electronic            -->
   5 <!-- Library of Mathematics, developed at the Computer Science         -->
   6 <!-- Department, University of Bologna, Italy.                         -->
   7 <!--                                                                   -->
   8 <!-- HELM is free software; you can redistribute it and/or             -->
   9 <!-- modify it under the terms of the GNU General Public License       -->
  10 <!-- as published by the Free Software Foundation; either version 2    -->
  11 <!-- of the License, or (at your option) any later version.            -->
  12 <!--                                                                   -->
  13 <!-- HELM is distributed in the hope that it will be useful,           -->
  14 <!-- but WITHOUT ANY WARRANTY; without even the implied warranty of    -->
  15 <!-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the     -->
  16 <!-- GNU General Public License for more details.                      -->
  17 <!--                                                                   -->
  18 <!-- You should have received a copy of the GNU General Public License -->
  19 <!-- along with HELM; if not, write to the Free Software               -->
  20 <!-- Foundation, Inc., 59 Temple Place - Suite 330, Boston,            -->
  21 <!-- MA  02111-1307, USA.                                              -->
  22 <!--                                                                   -->
  23 <!-- For details, see the HELM World-Wide-Web page,                    -->
  24 <!-- http://cs.unibo.it/helm/.                                         -->
  25
  26 <!--******************************************************************-->
  27 <!-- Lambda Calculus                                                  -->
  28 <!-- First draft: March 20 2001, Andrea Asperti                       -->
  29 <!--******************************************************************-->
  30
  31 <xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
  32                               xmlns:m="http://www.w3.org/1998/Math/MathML"
  33                               xmlns:helm="http://www.cs.unibo.it/helm">
  34
  35 <!-- ************************** LAMBDA ****************************** -->
  36
  37 <!-- subst -->
  38 <xsl:template match="APPLY[CONST[(attribute::uri='cic:/Rocq/LAMBDA/Terms/subst_rec.con' or attribute::uri='cic:/Rocq/LAMBDA/Substitution/subst_rec_r.con')] and count(child::*) = 4]" mode="pure">
  39         <m:apply>
  40          <m:csymbol definitionURL="{CONST/@uri}">subst</m:csymbol>
  41          <xsl:apply-templates select="*[3]" mode="pure"/>
  42          <xsl:apply-templates select="*[2]" mode="pure"/>
  43          <xsl:apply-templates select="*[4]" mode="pure"/>
  44         </m:apply>
  45 </xsl:template>
  46
  47 <xsl:template match="APPLY[CONST[(attribute::uri='cic:/Rocq/LAMBDA/Terms/subst.con' or attribute::uri='cic:/Rocq/LAMBDA/Substitution/subst_r.con')] and count(child::*) = 3]" mode="pure">
  48         <m:apply>
  49          <m:csymbol definitionURL="{CONST/@uri}">subst</m:csymbol>
  50          <xsl:apply-templates select="*[2]" mode="pure"/>
  51          <xsl:apply-templates select="*[3]" mode="pure"/>
  52          <m:ci>0</m:ci>
  53         </m:apply>
  54 </xsl:template>
  55
  56 <!-- lift -->
  57 <xsl:template match="APPLY[CONST[(attribute::uri='cic:/Rocq/LAMBDA/Terms/lift_rec.con' or attribute::uri='cic:/Rocq/LAMBDA/Substitution/lift_rec_r.con')] and count(child::*) = 4]" mode="pure">
  58         <m:apply>
  59          <m:csymbol definitionURL="{CONST/@uri}">lift_with_base</m:csymbol>
  60          <xsl:apply-templates select="*[2]" mode="pure"/>
  61          <xsl:apply-templates select="*[3]" mode="pure"/>
  62          <xsl:apply-templates select="*[4]" mode="pure"/>
  63         </m:apply>
  64 </xsl:template>
  65
  66 <xsl:template match="APPLY[CONST[(attribute::uri='cic:/Rocq/LAMBDA/Terms/lift.con' or attribute::uri='cic:/Rocq/LAMBDA/Substitution/lift_r.con')] and count(child::*) = 3]" mode="pure">
  67         <m:apply>
  68          <m:csymbol definitionURL="{CONST/@uri}">lift</m:csymbol>
  69          <xsl:apply-templates select="*[2]" mode="pure"/>
  70          <xsl:apply-templates select="*[3]" mode="pure"/>
  71         </m:apply>
  72 </xsl:template>
  73
  74 <!-- reduction -->
  75 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Reduction/red1.ind')] and count(child::*) = 3]" mode="pure">
  76         <m:apply>
  77          <m:csymbol definitionURL="{MUTIND/@uri}">beta_red1</m:csymbol>
  78          <xsl:apply-templates select="*[2]" mode="pure"/>
  79          <xsl:apply-templates select="*[3]" mode="pure"/>
  80         </m:apply>
  81 </xsl:template>
  82
  83 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Reduction/red.ind')] and count(child::*) = 3]" mode="pure">
  84         <m:apply>
  85          <m:csymbol definitionURL="{MUTIND/@uri}">beta_red</m:csymbol>
  86          <xsl:apply-templates select="*[2]" mode="pure"/>
  87          <xsl:apply-templates select="*[3]" mode="pure"/>
  88         </m:apply>
  89 </xsl:template>
  90
  91 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Reduction/par_red1.ind')] and count(child::*) = 3]" mode="pure">
  92         <m:apply>
  93          <m:csymbol definitionURL="{MUTIND/@uri}">par_beta_red1</m:csymbol>
  94          <xsl:apply-templates select="*[2]" mode="pure"/>
  95          <xsl:apply-templates select="*[3]" mode="pure"/>
  96         </m:apply>
  97 </xsl:template>
  98
  99 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Reduction/par_red.ind')] and count(child::*) = 3]" mode="pure">
 100         <m:apply>
 101          <m:csymbol definitionURL="{MUTIND/@uri}">par_beta_red</m:csymbol>
 102          <xsl:apply-templates select="*[2]" mode="pure"/>
 103          <xsl:apply-templates select="*[3]" mode="pure"/>
 104         </m:apply>
 105 </xsl:template>
 106
 107 <!-- unmark -->
 108
 109 <xsl:template match="APPLY[CONST[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Marks/unmark.con')] and count(child::*) = 2]" mode="pure">
 110         <m:apply>
 111          <m:csymbol definitionURL="{CONST/@uri}">forgetful</m:csymbol>
 112          <xsl:apply-templates select="*[2]" mode="pure"/>
 113         </m:apply>
 114 </xsl:template>
 115
 116 <!-- boolean algebra of redexes -->
 117
 118 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Redexes/sub.ind')] and count(child::*) = 3]" mode="pure">
 119         <m:apply>
 120          <m:subset definitionURL="{MUTIND/@uri}"/>
 121          <xsl:apply-templates select="*[2]" mode="pure"/>
 122          <xsl:apply-templates select="*[3]" mode="pure"/>
 123         </m:apply>
 124 </xsl:template>
 125
 126 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Redexes/union.ind')] and count(child::*) = 4]" mode="pure">
 127         <m:apply>
 128          <m:eq definitionURL="{MUTIND/@uri}"/>
 129          <m:apply>
 130           <m:union definitionURL="{MUTIND/@uri}"/>
 131           <xsl:apply-templates select="*[2]" mode="pure"/>
 132           <xsl:apply-templates select="*[3]" mode="pure"/>
 133          </m:apply>
 134          <xsl:apply-templates select="*[4]" mode="pure"/>
 135         </m:apply>
 136 </xsl:template>
 137
 138 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Redexes/comp.ind')] and count(child::*) = 3]" mode="pure">
 139         <m:apply>
 140          <m:csymbol definitionURL="{MUTIND/@uri}">isomorphic</m:csymbol>
 141          <xsl:apply-templates select="*[2]" mode="pure"/>
 142          <xsl:apply-templates select="*[3]" mode="pure"/>
 143         </m:apply>
 144 </xsl:template>
 145
 146 <xsl:template match="APPLY[MUTIND[(position()='1' and attribute::uri='cic:/Rocq/LAMBDA/Residuals/residuals.ind')] and count(child::*) = 4]" mode="pure">
 147         <m:apply>
 148          <m:eq definitionURL="{MUTIND/@uri}"/>
 149          <m:apply>
 150           <m:setdiff definitionURL="{MUTIND/@uri}"/>
 151           <xsl:apply-templates select="*[2]" mode="pure"/>
 152           <xsl:apply-templates select="*[3]" mode="pure"/>
 153          </m:apply>
 154          <xsl:apply-templates select="*[4]" mode="pure"/>
 155         </m:apply>
 156 </xsl:template>
 157
 158 </xsl:stylesheet>