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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 June 2.">
31          Parametrized applicability condition
32          allows λδ-2B to generalize both λδ-1A and λδ-1B.
33    </news>
34    <news class="beta" date="2019 April 16.">
35          Extended (λδ-2A) and restricted (λδ-1A) validity is decidable 
36          (anniversary milestone).
37    </news>
38    <news class="beta" date="2019 March 25.">
39          Preservation of validity for rt-computation
40          does not need the sort degree parameter
41          (i.e. no induction on the degree).
42    </news>
43    <news class="beta" date="2018 November 1.">
44          Extended (λδ-2A) and restricted (λδ-1A) type rules justified.
45    </news>
46    <news class="alpha" date="2018 September 21.">
47          λδ-2A completed with
48          confluence of rt-computation and
49          preservation of validity for rt-computation.
50    </news>
51    <news class="alpha" date="2018 June 8.">
52          Behavioral component rt_computation completed.
53    </news>
54    <news class="alpha" date="2018 April 16.">
55          "Big tree" theorem
56          (anniversary milestone).
57    </news>
58    <news class="alpha" date="2018 March 9.">
59          Support for rt-computation completed.
60    </news>
61    <news class="alpha" date="2017 October 17.">
62          Exclusion binder in local environments.
63          Syntactic component updated:
64          syntax, relocation, s_transition, s_computation, static, i_static.
65    </news>
66    <news class="alpha" date="2017 April 16.">
67          Strong rt-normalization
68          for simply typed terms
69          (anniversary milestone).
70    </news>
71    <news class="alpha" date="2017 March 16.">
72          Behavioral component rt_transition completed.
73    </news>
74    <news class="alpha" date="2017 February 19.">
75          Generic candidates of reducibility.
76    </news>
77    <news class="alpha" date="2017 January 17.">
78          Confluence for parallel r-transition on referred entries of local environments.
79    </news>
80    <news class="alpha" date="2016 September 15.">
81          Confluence for context-sensitive parallel r-transition on terms.
82    </news>
83    <news class="alpha" date="2016 April 16.">
84          Syntactic component completed:
85          syntax, relocation, s_transition, s_computation, static
86          (anniversary milestone).
87    </news>
88    <news class="alpha" date="2016 March 25.">
89          Relocation with reference transforming maps (rtmap).
90    </news>
91    <news class="alpha" date="2015 October 9.">
92          λδ-2B is started.
93    </news>
94
95    <subsection name="A">Stage "A" </subsection>
96    <news class="delta" date="2015 August 27.">
97          λδ-2A appears too complex and is dismissed.
98    </news>
99    <news class="gamma" date="2014 October 28.">
100          λδ version 2A is released.
101    </news>
102    <news class="beta" date="2014 September 9.">
103          Iterated static type assignment defined (more elegantly)
104          as a primitive notion.
105    </news>
106    <news class="beta" date="2014 June 18.">
107          Preservation of stratified native validity
108          for context-sensitive computation on terms.
109    </news>
110    <news class="alpha" date="2014 June 9.">
111          Strong qrst-normalization
112          for simply typed terms.
113    </news>
114    <news class="alpha" date="2014 April 16.">
115          Lazy equivalence on local environments
116          added as q-step to rst-computation on closures
117          (anniversary milestone).
118    </news>
119    <news class="alpha" date="2014 January 20.">
120          Parametrized slicing on local environments
121          comprises both versions of this operation
122          (one from basic_1, the other used in basic_2 till now).
123    </news>
124    <news class="alpha" date="2013 August 7.">
125          Passive support for global environments.
126    </news>
127    <news class="alpha" date="2013 July 27.">
128          Reaxiomatized β-reductum as in rt-reduction.
129    </news>
130    <news class="alpha" date="2013 July 20.">
131          Context-sensitive strong rt-normalization
132          for simply typed terms.
133    </news>
134    <news class="alpha" date="2013 April 16.">
135          Reaxiomatized substitution and reduction
136          commute with respect to subclosure
137          (anniversary milestone).
138    </news>
139    <news class="alpha" date="2013 March 16.">
140          Mutual recursive preservation of stratified native validity
141          for rst-computation on closures.
142    </news>
143    <news class="alpha" date="2012 October 16.">
144          Confluence for context-free parallel reduction on closures.
145    </news>
146    <news class="alpha" date="2012 July 26.">
147          Term binders polarized to control ζ-reduction (not released).
148    </news>
149    <news class="alpha" date="2012 April 16.">
150          Context-sensitive subject equivalence
151          for atomic arity assignment
152          (anniversary milestone).
153    </news>
154    <news class="alpha" date="2012 March 15.">
155          Context-sensitive strong normalization
156          for simply typed terms.
157    </news>
158    <news class="alpha" date="2012 January 27.">
159          Generic candidates of reducibility.
160    </news>
161    <news class="alpha" date="2011 September 21.">
162          Confluence for context-sensitive parallel reduction on terms.
163    </news>
164    <news class="alpha" date="2011 September 6.">
165          Confluence for context-free parallel reduction on terms.
166    </news>
167    <news class="alpha" date="2011 April 17.">
168          λδ-2A is started.
169    </news>
170
171    <section4 name="structure">Logical Structure of the Specification</section4>
172    <body>This table reports the specification's components and their planes.
173    </body>
174    <table name="basic_2_src"/>
175
176    <footer/>
177 </page>