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λδ-2B is released
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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="gamma" date="2019 November 19.">
31          λδ-2B is released.
32    </news>
33    <news class="beta" date="2019 September 3.">
34          Applicability condition is now parametrized
35          with a generic subset of numbers.
36    </news>
37    <news class="beta" date="2019 June 2.">
38          Applicability condition parametrized
39          with an initial interval of numbers
40          allows λδ-2B to generalize both λδ-2A and λδ-1B.
41    </news>
42    <news class="beta" date="2019 April 16.">
43          Extended (λδ-2A) and restricted (λδ-1B) validity is decidable
44          (anniversary milestone).
45    </news>
46    <news class="beta" date="2019 March 25.">
47          Preservation of validity for rt-computation
48          does not need the sort degree parameter
49          (i.e. no induction on the degree).
50    </news>
51    <news class="beta" date="2018 November 1.">
52          Extended (λδ-2A) and restricted (λδ-1B) validity rules justified.
53    </news>
54    <news class="alpha" date="2018 September 21.">
55          λδ-2A completed with
56          confluence of rt-computation and
57          preservation of validity for rt-computation.
58    </news>
59    <news class="alpha" date="2018 June 8.">
60          Behavioral component rt_computation completed.
61    </news>
62    <news class="alpha" date="2018 April 16.">
63          "Big tree" theorem
64          (anniversary milestone).
65    </news>
66    <news class="alpha" date="2018 March 9.">
67          Support for rt-computation completed.
68    </news>
69    <news class="alpha" date="2017 October 17.">
70          Exclusion binder in local environments.
71          Syntactic component updated:
72          syntax, relocation, s_transition, s_computation, static, i_static.
73    </news>
74    <news class="alpha" date="2017 April 16.">
75          Strong rt-normalization
76          for simply typed terms
77          (anniversary milestone).
78    </news>
79    <news class="alpha" date="2017 March 16.">
80          Behavioral component rt_transition completed.
81    </news>
82    <news class="alpha" date="2017 February 19.">
83          Generic candidates of reducibility.
84    </news>
85    <news class="alpha" date="2017 January 17.">
86          Confluence for parallel r-transition on referred entries of local environments.
87    </news>
88    <news class="alpha" date="2016 September 15.">
89          Confluence for context-sensitive parallel r-transition on terms.
90    </news>
91    <news class="alpha" date="2016 April 16.">
92          Syntactic component completed:
93          syntax, relocation, s_transition, s_computation, static
94          (anniversary milestone).
95    </news>
96    <news class="alpha" date="2016 March 25.">
97          Relocation with reference transforming maps (rtmap).
98    </news>
99    <news class="alpha" date="2015 October 9.">
100          λδ-2B is started.
101    </news>
102
103    <subsection name="A">Stage "A" </subsection>
104    <news class="delta" date="2015 August 27.">
105          λδ-2A appears too complex and is dismissed.
106    </news>
107    <news class="gamma" date="2014 October 28.">
108          λδ-2A is released.
109    </news>
110    <news class="beta" date="2014 September 9.">
111          Iterated static type assignment defined (more elegantly)
112          as a primitive notion.
113    </news>
114    <news class="beta" date="2014 June 18.">
115          Preservation of stratified native validity
116          for context-sensitive computation on terms.
117    </news>
118    <news class="alpha" date="2014 June 9.">
119          Strong qrst-normalization
120          for simply typed terms.
121    </news>
122    <news class="alpha" date="2014 April 16.">
123          Lazy equivalence on local environments
124          added as q-step to rst-computation on closures
125          (anniversary milestone).
126    </news>
127    <news class="alpha" date="2014 January 20.">
128          Parametrized slicing on local environments
129          comprises both versions of this operation
130          (one from basic_1, the other used in basic_2 till now).
131    </news>
132    <news class="alpha" date="2013 August 7.">
133          Passive support for global environments.
134    </news>
135    <news class="alpha" date="2013 July 27.">
136          Reaxiomatized β-reductum as in rt-reduction.
137    </news>
138    <news class="alpha" date="2013 July 20.">
139          Context-sensitive strong rt-normalization
140          for simply typed terms.
141    </news>
142    <news class="alpha" date="2013 April 16.">
143          Reaxiomatized substitution and reduction
144          commute with respect to subclosure
145          (anniversary milestone).
146    </news>
147    <news class="alpha" date="2013 March 16.">
148          Mutual recursive preservation of stratified native validity
149          for rst-computation on closures.
150    </news>
151    <news class="alpha" date="2012 October 16.">
152          Confluence for context-free parallel reduction on closures.
153    </news>
154    <news class="alpha" date="2012 July 26.">
155          Term binders polarized to control ζ-reduction (not released).
156    </news>
157    <news class="alpha" date="2012 April 16.">
158          Context-sensitive subject equivalence
159          for atomic arity assignment
160          (anniversary milestone).
161    </news>
162    <news class="alpha" date="2012 March 15.">
163          Context-sensitive strong normalization
164          for simply typed terms.
165    </news>
166    <news class="alpha" date="2012 January 27.">
167          Generic candidates of reducibility.
168    </news>
169    <news class="alpha" date="2011 September 21.">
170          Confluence for context-sensitive parallel reduction on terms.
171    </news>
172    <news class="alpha" date="2011 September 6.">
173          Confluence for context-free parallel reduction on terms.
174    </news>
175    <news class="alpha" date="2011 April 17.">
176          λδ-2A is started.
177    </news>
178
179    <section4 name="structure">Logical Structure of the Specification</section4>
180    <body>This table reports the specification's components and their planes.
181    </body>
182    <table name="basic_2_src"/>
183
184    <footer/>
185 </page>