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    <section5 name="specifications">Computer-checked formal specifications</section5>
  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  24       subsequent improvements occur until the specification is completed or superseded,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_2.tar.gz">lambdadelta_2 for Matita 0.99.2</rlink>
  59          (revised <notice class="gamma" notice="2014-10"/>).
  60          Source scripts.
  61       </body>
  62       <body>
  63          The scripts are grouped in directories, first by part, then by component.
  64       </body>
  65       <body>
  66          <notice class="alpha" notice="Notice:"/>
  67          the scripts are checked by the latest version of Matita from
  68          <link to="http://matita.cs.unibo.it/download.shtml">HELM Subversion repository</link>
  69          at path &lt;trunk/matita/&gt;.
  70       </body>
  71    </topitem>
  72
  73    <body>
  74       Informational pages on the parts of the specification:
  75       <rlink to="ground_2.html">Background</rlink>,
  76       <rlink to="basic_2.html">Core</rlink>,
  77       <rlink to="apps_2.html">Applications</rlink>.
  78    </body>
  79
  80 <!-- VERSION 1 =========================================================== -->
  81
  82    <subsection name="v1"><version1-icon/>λδ version 1 (superseded)</subsection>
  83    <body>
  84       The formal specification of λδ version 1
  85       is available in the following formats:
  86    </body>
  87
  88    <topitem name="source1">
  89       <body>
  90          <rlink to="download/lambdadelta_1.tar.gz">lambdadelta_1 for Coq 7.3.1</rlink>
  91          (revised <notice class="delta" notice="2015-01"/>).
  92          Source scripts.
  93          <list><item>
  94             <notice class="delta" notice="2015 January 15."/>
  95             17 new lemmas and former lemma "eq_nat_dec" renamed as "nat_dec_neg".
  96          </item></list>
  97       </body>
  98       <body>
  99          The scripts are grouped in directories, one for each part.
 100       </body>
 101    </topitem>
 102
 103    <topitem name="static1">
 104       <rlink to="static/matita/lambdadelta/">lambdadelta_1 for Matita 0.5</rlink>
 105       (revised <notice class="delta" notice="2011-09"/>).
 106       Static HTML pages generated by the <link to="http://helm.cs.unibo.it/">HELM</link> rendering engine.
 107       <list><item>
 108          <rlink to="static/matita/lambdadelta/basic_1/pr3/pr3/pr3_confluence.con.html">
 109             Confluence of reduction</rlink>
 110          (Church-Rosser property).
 111       </item><item>
 112          <rlink to="static/matita/lambdadelta/basic_1/ty3/props/ty3_correct.con.html">
 113             Correctness of types</rlink>.
 114       </item><item>
 115          <rlink to="static/matita/lambdadelta/basic_1/ty3/props/ty3_unique.con.html">
 116             Uniqueness of types up to conversion</rlink>.
 117       </item><item>
 118          <rlink to="static/matita/lambdadelta/basic_1/ty3/pr3/ty3_sred_pr3.con.html">
 119             Subject reduction of the type assignment</rlink>.
 120       </item><item>
 121          <rlink to="static/matita/lambdadelta/basic_1/ty3/arity_props/ty3_sn3.con.html">
 122             Strong normalization of the typed terms</rlink>.
 123       </item><item>
 124          <rlink to="static/matita/lambdadelta/basic_1/ty3/dec/ty3_inference.con.html">
 125             Decidability of the type inference problem</rlink>.
 126       </item></list>
 127    </topitem>
 128
 129    <topitem name="dynamic1">
 130       <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/">
 131          lambdadelta_1 for Matita 0.5</link>
 132       (revised <notice class="delta" notice="2011-09"/>).
 133       <link to="http://helm.cs.unibo.it/">HELM</link> directory.
 134       <notice class="alpha" notice="Notice: the HELM rendering engine is offline."/>
 135    </topitem>
 136
 137    <body>
 138       Informational pages on the parts of the specification:
 139 <!--      <rlink to="ground_2.html">Background</rlink>, -->
 140       <rlink to="basic_1.html">Core</rlink>.
 141 <!--      <rlink to="apps_2.html">Applications</rlink>. -->
 142    </body>
 143
 144    <footer/>
 145 </page>