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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 April 16.">
31          Extended (λδ-2) and restricted (λδ-1) validity is decidable 
32          (anniversary milestone).
33    </news>
34    <news class="beta" date="2019 March 25.">
35          Preservation of validity for rt-computation
36          does not need the sort degree parameter
37          (i.e. no induction on the degree).
38    </news>
39    <news class="beta" date="2018 November 1.">
40          Extended (λδ-2) and restricted (λδ-1) type rules justified.
41    </news>
42    <news class="alpha" date="2018 September 21.">
43          λδ-2A completed with
44          confluence of rt-computation and
45          preservation of validity for rt-computation.
46    </news>
47    <news class="alpha" date="2018 June 8.">
48          Behavioral component rt_computation completed.
49    </news>
50    <news class="alpha" date="2018 April 16.">
51          "Big tree" theorem
52          (anniversary milestone).
53    </news>
54    <news class="alpha" date="2018 March 9.">
55          Support for rt-computation completed.
56    </news>
57    <news class="alpha" date="2017 October 17.">
58          Exclusion binder in local environments.
59          Syntactic component updated:
60          syntax, relocation, s_transition, s_computation, static, i_static.
61    </news>
62    <news class="alpha" date="2017 April 16.">
63          Strong rt-normalization
64          for simply typed terms
65          (anniversary milestone).
66    </news>
67    <news class="alpha" date="2017 March 16.">
68          Behavioral component rt_transition completed.
69    </news>
70    <news class="alpha" date="2017 February 19.">
71          Generic candidates of reducibility.
72    </news>
73    <news class="alpha" date="2017 January 17.">
74          Confluence for parallel r-transition on referred entries of local environments.
75    </news>
76    <news class="alpha" date="2016 September 15.">
77          Confluence for context-sensitive parallel r-transition on terms.
78    </news>
79    <news class="alpha" date="2016 April 16.">
80          Syntactic component completed:
81          syntax, relocation, s_transition, s_computation, static
82          (anniversary milestone).
83    </news>
84    <news class="alpha" date="2016 March 25.">
85          Relocation with reference transforming maps (rtmap).
86    </news>
87    <news class="alpha" date="2015 October 9.">
88          λδ-2B is started.
89    </news>
90
91    <subsection name="A">Stage "A" </subsection>
92    <news class="delta" date="2015 August 27.">
93          λδ-2A appears too complex and is dismissed.
94    </news>
95    <news class="gamma" date="2014 October 28.">
96          λδ version 2A is released.
97    </news>
98    <news class="beta" date="2014 September 9.">
99          Iterated static type assignment defined (more elegantly)
100          as a primitive notion.
101    </news>
102    <news class="beta" date="2014 June 18.">
103          Preservation of stratified native validity
104          for context-sensitive computation on terms.
105    </news>
106    <news class="alpha" date="2014 June 9.">
107          Strong qrst-normalization
108          for simply typed terms.
109    </news>
110    <news class="alpha" date="2014 April 16.">
111          Lazy equivalence on local environments
112          added as q-step to rst-computation on closures
113          (anniversary milestone).
114    </news>
115    <news class="alpha" date="2014 January 20.">
116          Parametrized slicing on local environments
117          comprises both versions of this operation
118          (one from basic_1, the other used in basic_2 till now).
119    </news>
120    <news class="alpha" date="2013 August 7.">
121          Passive support for global environments.
122    </news>
123    <news class="alpha" date="2013 July 27.">
124          Reaxiomatized β-reductum as in rt-reduction.
125    </news>
126    <news class="alpha" date="2013 July 20.">
127          Context-sensitive strong rt-normalization
128          for simply typed terms.
129    </news>
130    <news class="alpha" date="2013 April 16.">
131          Reaxiomatized substitution and reduction
132          commute with respect to subclosure
133          (anniversary milestone).
134    </news>
135    <news class="alpha" date="2013 March 16.">
136          Mutual recursive preservation of stratified native validity
137          for rst-computation on closures.
138    </news>
139    <news class="alpha" date="2012 October 16.">
140          Confluence for context-free parallel reduction on closures.
141    </news>
142    <news class="alpha" date="2012 July 26.">
143          Term binders polarized to control ζ-reduction (not released).
144    </news>
145    <news class="alpha" date="2012 April 16.">
146          Context-sensitive subject equivalence
147          for atomic arity assignment
148          (anniversary milestone).
149    </news>
150    <news class="alpha" date="2012 March 15.">
151          Context-sensitive strong normalization
152          for simply typed terms.
153    </news>
154    <news class="alpha" date="2012 January 27.">
155          Generic candidates of reducibility.
156    </news>
157    <news class="alpha" date="2011 September 21.">
158          Confluence for context-sensitive parallel reduction on terms.
159    </news>
160    <news class="alpha" date="2011 September 6.">
161          Confluence for context-free parallel reduction on terms.
162    </news>
163    <news class="alpha" date="2011 April 17.">
164          λδ-2A is started.
165    </news>
166
167    <section4 name="structure">Logical Structure of the Specification</section4>
168    <body>This table reports the specification's components and their planes.
169    </body>
170    <table name="basic_2_src"/>
171
172    <footer/>
173 </page>