helm/www/lambdadelta/web/home/specification.ldw.xml

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   3 <page xmlns="http://lambdadelta.info/"
   4       description = "\lambda\delta home page"
   5       title = "\lambda\delta home page"
   6       head = "The Formal System λδ (\lambda\delta)"
   7 >
   8    <sitemap name="sitemap"/>
   9
  10    <section15 name="specifications">Computer-checked formal specifications</section15>
  11    <body>
  12       λδ is developed as a machine-checked digital specification.
  13       It comes in several versions listed in the next table,
  14       which includes the major milestones.
  15    </body>
  16    <body>
  17       The life cycle of a specification consists of four periods.
  18       <notice class="alpha" notice="Alpha:"/>
  19       the definitions are designed and the major propositions are proved,
  20       then the calculus is announced with a presentation.
  21       <notice class="beta" notice="Beta:"/>
  22       major changes and additions may occur before the calculus is released on paper.
  23       <notice class="gamma" notice="Gamma:"/>
  24       subsequent improvements occur until the specification is completed or superseded,
  25       while major changes and additions are announced and reported on paper.
  26       <notice class="delta" notice="Delta:"/>
  27       after its conclusion, the specification is modified just for maintenance.
  28    </body>
  29    <table name="versions"/>
  30
  31    <body>
  32      Informational pages on the specifications are provided.
  33    </body>
  34    <topitem>
  35       <notice class="alpha" notice="Notice on displayed numerical acounts:"/>
  36       nodes are counted according to the "intrinsic complexity measure"
  37       [F. Guidi: "Procedural Representation of CIC Proof Terms"
  38       Journal of Automated Reasoning 44(1-2), Springer (February 2010), pp. 53-78].
  39    </topitem>
  40    <topitem>
  41       <notice class="alpha" notice="Notice on displayed logical structures:"/>
  42       from the logical standpoint, the source scripts are grouped in "planes"
  43       and these are grouped in "components";
  44       the notation for the relations or functions
  45       introduced in each script, is shown in parentheses (? are placeholders).
  46    </topitem>
  47
  48 <!-- VERSION 2 =========================================================== -->
  49
  50    <subsection name="v2"><version2-icon/>λδ version 2 (active)</subsection>
  51    <body>
  52       The formal specification of λδ version 2
  53       is available in the following formats:
  54    </body>
  55
  56    <topitem name="source2">
  57       <body>
  58          <rlink to="download/lambdadelta_2A1.tar.gz">lambdadelta_2A1 for Matita 0.99.2</rlink>
  59          (revised <notice class="gamma" notice="2014-10"/>).
  60          Source scripts.
  61          <rlink to="documentation.html#ldR2c">Documentation (R2c)</rlink>.
  62       </body>
  63       <body>
  64          The scripts are grouped in directories, first by part, then by component.
  65       </body>
  66       <body>
  67          <notice class="alpha" notice="Notice:"/>
  68          the scripts are checked by the latest version of Matita from
  69          <link to="http://matita.cs.unibo.it/download.shtml">HELM Subversion repository</link>
  70          at path &lt;trunk/matita/&gt;.
  71       </body>
  72    </topitem>
  73
  74    <body>
  75       Informational pages on the parts of the specification:
  76       <rlink to="ground_2.html">Background</rlink>,
  77       <rlink to="basic_2.html">Core</rlink>,
  78       <rlink to="apps_2.html">Applications</rlink>.
  79    </body>
  80
  81 <!-- VERSION 1 =========================================================== -->
  82
  83    <subsection name="v1"><version1-icon/>λδ version 1 (superseded)</subsection>
  84    <body>
  85       The formal specification of λδ version 1
  86       is available in the following formats:
  87    </body>
  88
  89    <topitem name="source1">
  90       <body>
  91          <rlink to="download/lambdadelta_1.tar.gz">lambdadelta_1 for Coq 7.3.1</rlink>
  92          (revised <notice class="delta" notice="2015-09"/>).
  93          Source scripts.
  94          <rlink to="documentation.html#ldJ1a">Documentation (J1a)</rlink>.
  95          <list><item>
  96             <notice class="delta" notice="2015 January 15."/>
  97             17 new lemmas and former lemma "eq_nat_dec" renamed as "nat_dec_neg".
  98          </item></list>
  99       </body>
 100       <body>
 101          The scripts are grouped in directories, one for each part.
 102       </body>
 103    </topitem>
 104
 105    <topitem name="static1">
 106       <rlink to="static/matita/lambdadelta/">lambdadelta_1 for Matita 0.5</rlink>
 107       (revised <notice class="delta" notice="2011-09"/>).
 108       Static HTML pages generated by the <link to="http://helm.cs.unibo.it/">HELM</link> rendering engine.
 109       <list><item>
 110          <rlink to="static/matita/lambdadelta/basic_1/pr3/pr3/pr3_confluence.con.html">
 111             Confluence of reduction</rlink>
 112          (Church-Rosser property).
 113       </item><item>
 114          <rlink to="static/matita/lambdadelta/basic_1/ty3/props/ty3_correct.con.html">
 115             Correctness of types</rlink>.
 116       </item><item>
 117          <rlink to="static/matita/lambdadelta/basic_1/ty3/props/ty3_unique.con.html">
 118             Uniqueness of types up to conversion</rlink>.
 119       </item><item>
 120          <rlink to="static/matita/lambdadelta/basic_1/ty3/pr3/ty3_sred_pr3.con.html">
 121             Subject reduction of the type assignment</rlink>.
 122       </item><item>
 123          <rlink to="static/matita/lambdadelta/basic_1/ty3/arity_props/ty3_sn3.con.html">
 124             Strong normalization of the typed terms</rlink>.
 125       </item><item>
 126          <rlink to="static/matita/lambdadelta/basic_1/ty3/dec/ty3_inference.con.html">
 127             Decidability of the type inference problem</rlink>.
 128       </item></list>
 129    </topitem>
 130
 131    <topitem name="dynamic1">
 132       <link to="http://mowgli.cs.unibo.it:58080/apply?keys=RT&amp;xmluri=http://helm.cs.unibo.it/helm//html/folder/index.html&amp;prop.media-type=text/html&amp;param.thmedia-type=text/html&amp;param.thkeys=T1%2CT2%2CL%2CE&amp;param.embedkeys=d_c%2CTC1%2CHC2%2CL&amp;param.thencoding=UTF-8&amp;prop.encoding=UTF-8&amp;prop.doctype-public=-//W3C//DTD%20XHTML%201.0%20Transitional//EN&amp;param.doctype-public=-//W3C//DTD%20XHTML%201.0%20Transitional//EN&amp;param.encoding=UTF-8&amp;param.media-type=text/html&amp;param.keys=d_c%2CC1%2CHC2%2CL&amp;profile=default&amp;param.profile=default&amp;param.CICURI=theory:/matita/lambdadelta/">
 133          lambdadelta_1 for Matita 0.5</link>
 134       (revised <notice class="delta" notice="2011-09"/>).
 135       <link to="http://helm.cs.unibo.it/">HELM</link> directory.
 136       <notice class="alpha" notice="Notice: the HELM rendering engine is offline."/>
 137    </topitem>
 138
 139    <body>
 140       Informational pages on the parts of the specification:
 141       <rlink to="ground_1.html">Background</rlink>,
 142       <rlink to="basic_1.html">Core</rlink>.
 143    </body>
 144
 145    <footer/>
 146 </page>