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