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9 <meta name="description" content="\lambda\delta home page" />
10 <title>\lambda\delta home page</title>
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22 <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
24 <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
26 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
29 <div xmlns:ld="http://lambdadelta.info/" class="text">
30 <table cellpadding="4" cellspacing="0">
33 <td class="snns capitalize italic sky">
34 <a href="http://lambdadelta.info/index.html">home</a>
36 <td class="snns capitalize italic magenta">
37 <a href="http://lambdadelta.info/news.html">news</a>
39 <td class="snns capitalize italic orange">
40 <a href="http://lambdadelta.info/documentation.html">documentation</a>
42 <td class="snns capitalize italic green">
43 <a href="http://lambdadelta.info/specification.html">specification</a>
45 <td class="snnn capitalize italic green">
48 <td class="ssns capitalize italic green">
49 <a href="http://lambdadelta.info/implementation.html">implementation</a>
53 <td class="snns capitalize sky">
54 <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
56 <td class="snns capitalize magenta">
57 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
59 <td class="snns capitalize orange">
60 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
62 <td class="snns capitalize green">
63 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
65 <td class="snnn capitalize green">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
66 <td class="ssns capitalize green">
67 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
71 <td class="snss capitalize sky">
72 <a href="http://lambdadelta.info/index.html#citations">citations</a>
74 <td class="snss capitalize magenta">
75 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
77 <td class="snss capitalize orange">
78 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
80 <td class="snss capitalize green">
81 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
83 <td class="snsn capitalize green">
86 <td class="ssss capitalize green">
87 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
94 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
96 <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
97 applications of λδ version 2.
98 In particular it contains the components below.
100 <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
102 <span class="emph alpha">MLTT1.</span>
103 Martin-Löf's Type Theory with one universe
104 using λδ as theory of expressions.
107 <ul xmlns:ld="http://lambdadelta.info/" id="functional">
109 <span class="emph alpha">Functional.</span>
110 The validation algorithm for λδ as implemented in
111 <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
115 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
117 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
120 <div xmlns:ld="http://lambdadelta.info/" class="text">
121 <table cellpadding="4" cellspacing="0">
124 <td class="snns capitalize italic gray">category</td>
125 <td class="snns italic gray">objects</td>
126 <td class="snnn right italic gray">
129 <td class="snnn italic gray">
132 <td class="snnn right italic gray">
135 <td class="snnn italic gray">
138 <td class="ssnn right italic gray">
143 <td class="snns capitalize italic cyan">sizes</td>
144 <td class="snns italic cyan">files</td>
145 <td class="snnn right italic cyan">14</td>
146 <td class="snns italic cyan">characters</td>
147 <td class="snnn right italic cyan">6787</td>
148 <td class="snns italic cyan">nodes</td>
149 <td class="ssnn right italic cyan">10070</td>
152 <td class="snns capitalize italic green">propositions</td>
153 <td class="snns italic green">theorems</td>
154 <td class="snnn right italic green">2</td>
155 <td class="snns italic green">lemmas</td>
156 <td class="snnn right italic green">4</td>
157 <td class="snns italic green">total</td>
158 <td class="ssnn right italic green">6</td>
161 <td class="snss capitalize italic yellow">concepts</td>
162 <td class="snss italic yellow">declared</td>
163 <td class="snsn right italic yellow">6</td>
164 <td class="snss italic yellow">defined</td>
165 <td class="snsn right italic yellow">11</td>
166 <td class="snss italic yellow">total</td>
167 <td class="sssn right italic yellow">17</td>
172 <ul xmlns:ld="http://lambdadelta.info/">
174 <span class="emph alpha">2012 February 24.</span>
175 The Applications directory is started.
178 <ul xmlns:ld="http://lambdadelta.info/">
180 <span class="emph alpha">2011 December 20.</span>
181 The Functional component is started
182 inside the specification of λδ version 2.
185 <ul xmlns:ld="http://lambdadelta.info/">
187 <span class="emph alpha">2011 December 12.</span>
188 The MLTT1 component is started.
192 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
194 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
196 <div xmlns:ld="http://lambdadelta.info/" class="text">
197 <table cellpadding="4" cellspacing="0">
200 <td class="snns top capitalize italic gray">component</td>
201 <td class="snns top italic gray">plane</td>
202 <td class="snns top gray">files</td>
203 <td class="ssnn top gray">
208 <td class="snns top capitalize italic red">functional</td>
209 <td class="snns top italic red">reduction and type machine</td>
210 <td class="snns top red">rtm</td>
211 <td class="ssnn top red">rtm_step ( ? ⇨ ? )</td>
214 <td class="nnss top capitalize italic red">
217 <td class="snss top italic red">relocation</td>
218 <td class="snss top red">lift ( ↑[?,?] ? )</td>
219 <td class="sssn top red">
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230 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
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250 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
253 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 24 Dec 2014 22:58:52 +0100</div>