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9 <meta name="description" content="\lambda\delta home page" />
10 <title>\lambda\delta home page</title>
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18 <a href="http://lambdadelta.info/">
19 <img class="icon32" alt="[\lambda\delta home]" title="\lambda\delta home" src="http://lambdadelta.info/images/crux_32.png" />
22 <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
24 <img class="rule" alt="[Spacer]" title="\lambda\delta 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/home.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 white">
40 <a href="http://lambdadelta.info/specification.html">specification</a>
42 <td class="snnn capitalize italic white">
45 <td class="snnn capitalize italic white">
48 <td class="snns capitalize italic orange">
49 <a href="http://lambdadelta.info/documentation.html">documentation</a>
51 <td class="snns capitalize italic green">
52 <a href="http://lambdadelta.info/implementation.html">implementation</a>
54 <td class="ssnn capitalize italic green">
59 <td class="snns capitalize sky">
60 <a href="http://lambdadelta.info/home.html#foreword">foreword</a>
62 <td class="snns capitalize magenta">
63 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
65 <td class="snns capitalize white">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
68 <td class="snnn capitalize white">(<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="snnn capitalize white">
72 <td class="snns capitalize orange">
73 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
75 <td class="snns capitalize green">
76 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
78 <td class="ssnn capitalize green">
79 <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
83 <td class="snss capitalize sky">
84 <a href="http://lambdadelta.info/home.html#citations">citations</a>
86 <td class="snss capitalize magenta">
87 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
89 <td class="snss capitalize white">
90 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
92 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
93 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
94 <td class="snss capitalize orange">
95 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
97 <td class="snss capitalize green">
98 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
100 <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
105 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
107 <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
108 applications of λδ version 2.
109 In particular it contains the components below.
111 <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
113 <span class="emph alpha">MLTT1.</span>
114 Martin-Löf's Type Theory with one universe
115 using λδ as theory of expressions.
118 <ul xmlns:ld="http://lambdadelta.info/" id="functional">
120 <span class="emph alpha">Functional.</span>
121 The validation algorithm for λδ as implemented in
122 <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
125 <ul xmlns:ld="http://lambdadelta.info/" id="examples">
127 <span class="emph alpha">Examples.</span>
128 Terms of λδ with special features.
131 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
133 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
136 <div xmlns:ld="http://lambdadelta.info/" class="text">
137 <table cellpadding="4" cellspacing="0">
140 <td class="snns capitalize italic gray">category</td>
141 <td class="snns italic gray">objects</td>
142 <td class="snnn right italic gray">
145 <td class="snnn italic gray">
148 <td class="snnn right italic gray">
151 <td class="snnn italic gray">
154 <td class="ssnn right italic gray">
159 <td class="snns capitalize italic cyan">sizes</td>
160 <td class="snns italic cyan">files</td>
161 <td class="snnn right italic cyan">2</td>
162 <td class="snns italic cyan">characters</td>
163 <td class="snnn right italic cyan">594</td>
164 <td class="snns italic cyan">nodes</td>
165 <td class="ssnn right italic cyan">779</td>
168 <td class="snns capitalize italic green">propositions</td>
169 <td class="snns italic green">theorems</td>
170 <td class="snnn right italic green">2</td>
171 <td class="snns italic green">lemmas</td>
172 <td class="snnn right italic green">1</td>
173 <td class="snns italic green">total</td>
174 <td class="ssnn right italic green">3</td>
177 <td class="snss capitalize italic yellow">concepts</td>
178 <td class="snss italic yellow">declared</td>
179 <td class="snsn right italic yellow">0</td>
180 <td class="snss italic yellow">defined</td>
181 <td class="snsn right italic yellow">3</td>
182 <td class="snss italic yellow">total</td>
183 <td class="sssn right italic yellow">3</td>
188 <ul xmlns:ld="http://lambdadelta.info/">
190 <span class="emph alpha">2017 March 6.</span>
191 The Examples component is moved from the Core directory.
194 <ul xmlns:ld="http://lambdadelta.info/">
196 <span class="emph alpha">2012 February 24.</span>
197 The Applications directory is started.
200 <ul xmlns:ld="http://lambdadelta.info/">
202 <span class="emph alpha">2011 December 20.</span>
203 The Functional component is started
204 inside the specification of λδ version 2.
207 <ul xmlns:ld="http://lambdadelta.info/">
209 <span class="emph alpha">2011 December 12.</span>
210 The MLTT1 component is started.
213 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
215 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
217 <div xmlns:ld="http://lambdadelta.info/" class="text">
218 <table cellpadding="4" cellspacing="0">
221 <td class="snns top capitalize italic gray">component</td>
222 <td class="snns top italic gray">plane</td>
223 <td class="snns top gray">files</td>
224 <td class="ssnn top gray">
229 <td class="snns top capitalize italic orange">functional</td>
230 <td class="snns top italic orange">reduction and type machine</td>
231 <td class="snns top orange">rtm</td>
232 <td class="ssnn top orange">rtm_step ( ? ⇨ ? )</td>
235 <td class="nnns top capitalize italic orange">
238 <td class="snns top italic orange">relocation</td>
239 <td class="snns top orange">lift ( ↑[?,?] ? )</td>
240 <td class="ssnn top orange">
245 <td class="snss top capitalize italic red">examples</td>
246 <td class="snss top italic red">terms with special features</td>
247 <td class="snss top red">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
248 <td class="sssn top red">
256 <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
258 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
261 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
262 <a href="http://validator.w3.org/check?uri=referer">
263 <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
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281 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 05 Apr 2017 18:05:17 +0200</div>