helm/www/lambdadelta/apps_2.html

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   8     <meta name="author" content="Ferruccio Guidi"/>
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  10     <title>applications of lambdadelta version 2</title>
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  17    <div class="head2">Contents of the Specification</div>
  18    <div class="text">This specification comprises a collection of checked
  19          applications of λδ version 2.
  20          In particular it contains the components below.
  21    </div>
  22    <ul><li><span class="date">MLTT1.</span>
  23          Martin-Löf's Type Theory with one universe
  24          using λδ as theory of expressions.
  25    </li></ul>
  26    <ul><li><span class="date">Functional.</span>
  27          The validation algorithm for λδ as implemented in
  28          <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
  29    </li></ul>
  30
  31    <div class="head2">Summary of the Specification</div>
  32    <div class="text">Here is a numerical acount of the specification's contents
  33          and its timeline.
  34    </div>
  35    <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">category</td><td class="snns plane grey">objects</td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="ssnn number grey"><br/></td></tr><tr><td class="snns component cyan">sizes</td><td class="snns plane cyan">files</td><td class="snnn number cyan">5</td><td class="snns plane cyan">characters</td><td class="snnn number cyan">5613</td><td class="snns plane cyan">nodes</td><td class="ssnn number cyan">10024</td></tr><tr><td class="snns component green">propositions</td><td class="snns plane green">theorems</td><td class="snnn number green">4</td><td class="snns plane green">lemmas</td><td class="snnn number green">1</td><td class="snns plane green">total</td><td class="ssnn number green">5</td></tr><tr><td class="snss component yellow">concepts</td><td class="snss plane yellow">declared</td><td class="snsn number yellow">3</td><td class="snss plane yellow">defined</td><td class="snsn number yellow">10</td><td class="snss plane yellow">total</td><td class="sssn number yellow">13</td></tr></tbody></table></div>
  36    <ul><li><span class="date">2012 February 24.</span>
  37          The Applications directory is started.
  38    </li></ul>
  39    <ul><li><span class="date">2011 December 20.</span>
  40          The Functional component is started
  41          inside the specification of λδ version 2.
  42    </li></ul>
  43    <ul><li><span class="date">2011 December 12.</span>
  44          The MLTT1 component is started.
  45    </li></ul>
  46
  47    <div class="head2">Logical Structure of the Specification</div>
  48    <div class="text">The source files are grouped in planes and components
  49          according to the following table.
  50          Each component contains its own notation file.
  51          The notation for the relations or functions introduced in each file
  52          is shown in parentheses (? are placeholders).
  53    </div>
  54    <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">component</td><td class="snns plane grey">plane</td><td class="snns file grey">files</td><td class="ssnn file grey"><br/></td></tr><tr><td class="snns component orange">MLTT1</td><td class="snns plane orange"/><td class="snns file orange">genv_primitive</td><td class="ssnn file orange">judgement</td></tr><tr><td class="snns component red">functional</td><td class="snns plane red">reduction and type machine</td><td class="snns file red">rtm</td><td class="ssnn file red">rtm_step ( ? ⇨ ? )</td></tr><tr><td class="nnss component red"><br/></td><td class="snss plane red">unfold</td><td class="snss file red">lift ( ↑[?,?] ? )</td><td class="sssn file red">subst ( [?←?] ? )</td></tr></tbody></table></div>
  55
  56    <div class="head2">Physical Structure of the Specification</div>
  57    <div class="text">The source files are grouped in directories,
  58          one for each component.
  59    </div>
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