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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>
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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="snns capitalize italic green">
49 <a href="http://lambdadelta.info/implementation.html">implementation</a>
51 <td class="ssnn capitalize italic green">
56 <td class="snns capitalize sky">
57 <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
59 <td class="snns capitalize magenta">
60 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
62 <td class="snns capitalize orange">
63 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
65 <td class="snns capitalize green">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
68 <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>
69 <td class="snns capitalize green">
70 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
72 <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
75 <td class="snss capitalize sky">
76 <a href="http://lambdadelta.info/index.html#citations">citations</a>
78 <td class="snss capitalize magenta">
79 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
81 <td class="snss capitalize orange">
82 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
84 <td class="snss capitalize green">
85 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
87 <td class="snsn capitalize green">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
88 <td class="snss capitalize green">
89 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
91 <td class="sssn capitalize green">
98 <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" />
100 <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
101 applications of λδ version 2.
102 In particular it contains the components below.
104 <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
106 <span class="emph alpha">MLTT1.</span>
107 Martin-Löf's Type Theory with one universe
108 using λδ as theory of expressions.
111 <ul xmlns:ld="http://lambdadelta.info/" id="functional">
113 <span class="emph alpha">Functional.</span>
114 The validation algorithm for λδ as implemented in
115 <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
118 <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" />
120 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
123 <div xmlns:ld="http://lambdadelta.info/" class="text">
124 <table cellpadding="4" cellspacing="0">
127 <td class="snns capitalize italic gray">category</td>
128 <td class="snns italic gray">objects</td>
129 <td class="snnn right italic gray">
132 <td class="snnn italic gray">
135 <td class="snnn right italic gray">
138 <td class="snnn italic gray">
141 <td class="ssnn right italic gray">
146 <td class="snns capitalize italic cyan">sizes</td>
147 <td class="snns italic cyan">files</td>
148 <td class="snnn right italic cyan">14</td>
149 <td class="snns italic cyan">characters</td>
150 <td class="snnn right italic cyan">6787</td>
151 <td class="snns italic cyan">nodes</td>
152 <td class="ssnn right italic cyan">10070</td>
155 <td class="snns capitalize italic green">propositions</td>
156 <td class="snns italic green">theorems</td>
157 <td class="snnn right italic green">2</td>
158 <td class="snns italic green">lemmas</td>
159 <td class="snnn right italic green">4</td>
160 <td class="snns italic green">total</td>
161 <td class="ssnn right italic green">6</td>
164 <td class="snss capitalize italic yellow">concepts</td>
165 <td class="snss italic yellow">declared</td>
166 <td class="snsn right italic yellow">6</td>
167 <td class="snss italic yellow">defined</td>
168 <td class="snsn right italic yellow">11</td>
169 <td class="snss italic yellow">total</td>
170 <td class="sssn right italic yellow">17</td>
175 <ul xmlns:ld="http://lambdadelta.info/">
177 <span class="emph alpha">2012 February 24.</span>
178 The Applications directory is started.
181 <ul xmlns:ld="http://lambdadelta.info/">
183 <span class="emph alpha">2011 December 20.</span>
184 The Functional component is started
185 inside the specification of λδ version 2.
188 <ul xmlns:ld="http://lambdadelta.info/">
190 <span class="emph alpha">2011 December 12.</span>
191 The MLTT1 component is started.
194 <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" />
196 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
198 <div xmlns:ld="http://lambdadelta.info/" class="text">
199 <table cellpadding="4" cellspacing="0">
202 <td class="snns top capitalize italic gray">component</td>
203 <td class="snns top italic gray">plane</td>
204 <td class="snns top gray">files</td>
205 <td class="ssnn top gray">
210 <td class="snns top capitalize italic red">functional</td>
211 <td class="snns top italic red">reduction and type machine</td>
212 <td class="snns top red">rtm</td>
213 <td class="ssnn top red">rtm_step ( ? ⇨ ? )</td>
216 <td class="nnss top capitalize italic red">
219 <td class="snss top italic red">relocation</td>
220 <td class="snss top red">lift ( ↑[?,?] ? )</td>
221 <td class="sssn top red">
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254 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 05 Jan 2015 00:32:03 +0100</div>