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1 <?xml version="1.0" encoding="UTF-8"?>
2
3 <page xmlns="http://lambdadelta.info/"
4       description = "\lambda\delta home page"
5       title = "\lambda\delta home page"
6       logo = "crux"
7       head = "cic:/matita/lambdadelta/basic_2/ (core λδ version 2)"
8 >
9    <sitemap name="sitemap"/>
10 <!--   
11    <section>System's Syntax and Behavior</section>
12    <body>This is a summary of the "block structure"
13          of the System's syntactic items and reductions.
14    </body>
15    <table name="basic_2_blk"/>
16    <body>* In terms only.
17          ** In terms and local environments only.
18          *** In global environments only.
19          **** Sort level k in terms only.
20    </body>
21 -->
22
23    <section4 name="summary">Summary of the Specification</section4>
24    <body>Here is a numerical account of the specification's contents
25          and its timeline.
26    </body>
27    <table name="basic_2_sum"/>
28
29    <subsection name="B">Stage "B"</subsection>
30    <news class="beta" date="2019 March 25.">
31          Preservation of validity for rt-computation
32          does not need the sort degree parameter
33          (i.e. no induction on the degree).
34    </news>
35    <news class="beta" date="2018 November 1.">
36          Extended (λδ-2) and restricted (λδ-1) type rules justified.
37    </news>
38    <news class="alpha" date="2018 September 21.">
39          λδ-2A completed with
40          confluence of rt-computation and
41          preservation of validity for rt-computation.
42    </news>
43    <news class="alpha" date="2018 June 8.">
44          Behavioral component rt_computation completed.
45    </news>
46    <news class="alpha" date="2018 April 16.">
47          "Big tree" theorem
48          (anniversary milestone).
49    </news>
50    <news class="alpha" date="2018 March 9.">
51          Support for rt-computation completed.
52    </news>
53    <news class="alpha" date="2017 October 17.">
54          Exclusion binder in local environments.
55          Syntactic component updated:
56          syntax, relocation, s_transition, s_computation, static, i_static.
57    </news>
58    <news class="alpha" date="2017 April 16.">
59          Strong rt-normalization
60          for simply typed terms
61          (anniversary milestone).
62    </news>
63    <news class="alpha" date="2017 March 16.">
64          Behavioral component rt_transition completed.
65    </news>
66    <news class="alpha" date="2017 February 19.">
67          Generic candidates of reducibility.
68    </news>
69    <news class="alpha" date="2017 January 17.">
70          Confluence for parallel r-transition on referred entries of local environments.
71    </news>
72    <news class="alpha" date="2016 September 15.">
73          Confluence for context-sensitive parallel r-transition on terms.
74    </news>
75    <news class="alpha" date="2016 April 16.">
76          Syntactic component completed:
77          syntax, relocation, s_transition, s_computation, static
78          (anniversary milestone).
79    </news>
80    <news class="alpha" date="2016 March 25.">
81          Relocation with reference transforming maps (rtmap).
82    </news>
83    <news class="alpha" date="2015 October 9.">
84          λδ-2B is started.
85    </news>
86
87    <subsection name="A">Stage "A" </subsection>
88    <news class="delta" date="2015 August 27.">
89          λδ-2A appears too complex and is dismissed.
90    </news>
91    <news class="gamma" date="2014 October 28.">
92          λδ version 2A is released.
93    </news>
94    <news class="beta" date="2014 September 9.">
95          Iterated static type assignment defined (more elegantly)
96          as a primitive notion.
97    </news>
98    <news class="beta" date="2014 June 18.">
99          Preservation of stratified native validity
100          for context-sensitive computation on terms.
101    </news>
102    <news class="alpha" date="2014 June 9.">
103          Strong qrst-normalization
104          for simply typed terms.
105    </news>
106    <news class="alpha" date="2014 April 16.">
107          Lazy equivalence on local environments
108          added as q-step to rst-computation on closures
109          (anniversary milestone).
110    </news>
111    <news class="alpha" date="2014 January 20.">
112          Parametrized slicing on local environments
113          comprises both versions of this operation
114          (one from basic_1, the other used in basic_2 till now).
115    </news>
116    <news class="alpha" date="2013 August 7.">
117          Passive support for global environments.
118    </news>
119    <news class="alpha" date="2013 July 27.">
120          Reaxiomatized β-reductum as in rt-reduction.
121    </news>
122    <news class="alpha" date="2013 July 20.">
123          Context-sensitive strong rt-normalization
124          for simply typed terms.
125    </news>
126    <news class="alpha" date="2013 April 16.">
127          Reaxiomatized substitution and reduction
128          commute with respect to subclosure
129          (anniversary milestone).
130    </news>
131    <news class="alpha" date="2013 March 16.">
132          Mutual recursive preservation of stratified native validity
133          for rst-computation on closures.
134    </news>
135    <news class="alpha" date="2012 October 16.">
136          Confluence for context-free parallel reduction on closures.
137    </news>
138    <news class="alpha" date="2012 July 26.">
139          Term binders polarized to control ζ-reduction (not released).
140    </news>
141    <news class="alpha" date="2012 April 16.">
142          Context-sensitive subject equivalence
143          for atomic arity assignment
144          (anniversary milestone).
145    </news>
146    <news class="alpha" date="2012 March 15.">
147          Context-sensitive strong normalization
148          for simply typed terms.
149    </news>
150    <news class="alpha" date="2012 January 27.">
151          Generic candidates of reducibility.
152    </news>
153    <news class="alpha" date="2011 September 21.">
154          Confluence for context-sensitive parallel reduction on terms.
155    </news>
156    <news class="alpha" date="2011 September 6.">
157          Confluence for context-free parallel reduction on terms.
158    </news>
159    <news class="alpha" date="2011 April 17.">
160          λδ-2A is started.
161    </news>
162
163    <section4 name="structure">Logical Structure of the Specification</section4>
164    <body>This table reports the specification's components and their planes.
165    </body>
166    <table name="basic_2_src"/>
167
168    <footer/>
169 </page>