1 <?xml version="1.0" encoding="UTF-8"?>
3 <page xmlns="http://lambdadelta.info/"
4 description = "\lambda\delta home page"
5 title = "\lambda\delta home page"
7 head = "cic:/matita/lambdadelta/basic_2/ (core λδ version 2)"
9 <sitemap name="sitemap"/>
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.
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.
23 <section4 name="summary">Summary of the Specification</section4>
24 <body>Here is a numerical account of the specification's contents
27 <table name="basic_2_sum"/>
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).
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).
39 <news class="beta" date="2018 November 1.">
40 Extended (λδ-2) and restricted (λδ-1) type rules justified.
42 <news class="alpha" date="2018 September 21.">
44 confluence of rt-computation and
45 preservation of validity for rt-computation.
47 <news class="alpha" date="2018 June 8.">
48 Behavioral component rt_computation completed.
50 <news class="alpha" date="2018 April 16.">
52 (anniversary milestone).
54 <news class="alpha" date="2018 March 9.">
55 Support for rt-computation completed.
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.
62 <news class="alpha" date="2017 April 16.">
63 Strong rt-normalization
64 for simply typed terms
65 (anniversary milestone).
67 <news class="alpha" date="2017 March 16.">
68 Behavioral component rt_transition completed.
70 <news class="alpha" date="2017 February 19.">
71 Generic candidates of reducibility.
73 <news class="alpha" date="2017 January 17.">
74 Confluence for parallel r-transition on referred entries of local environments.
76 <news class="alpha" date="2016 September 15.">
77 Confluence for context-sensitive parallel r-transition on terms.
79 <news class="alpha" date="2016 April 16.">
80 Syntactic component completed:
81 syntax, relocation, s_transition, s_computation, static
82 (anniversary milestone).
84 <news class="alpha" date="2016 March 25.">
85 Relocation with reference transforming maps (rtmap).
87 <news class="alpha" date="2015 October 9.">
91 <subsection name="A">Stage "A" </subsection>
92 <news class="delta" date="2015 August 27.">
93 λδ-2A appears too complex and is dismissed.
95 <news class="gamma" date="2014 October 28.">
96 λδ version 2A is released.
98 <news class="beta" date="2014 September 9.">
99 Iterated static type assignment defined (more elegantly)
100 as a primitive notion.
102 <news class="beta" date="2014 June 18.">
103 Preservation of stratified native validity
104 for context-sensitive computation on terms.
106 <news class="alpha" date="2014 June 9.">
107 Strong qrst-normalization
108 for simply typed terms.
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).
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).
120 <news class="alpha" date="2013 August 7.">
121 Passive support for global environments.
123 <news class="alpha" date="2013 July 27.">
124 Reaxiomatized β-reductum as in rt-reduction.
126 <news class="alpha" date="2013 July 20.">
127 Context-sensitive strong rt-normalization
128 for simply typed terms.
130 <news class="alpha" date="2013 April 16.">
131 Reaxiomatized substitution and reduction
132 commute with respect to subclosure
133 (anniversary milestone).
135 <news class="alpha" date="2013 March 16.">
136 Mutual recursive preservation of stratified native validity
137 for rst-computation on closures.
139 <news class="alpha" date="2012 October 16.">
140 Confluence for context-free parallel reduction on closures.
142 <news class="alpha" date="2012 July 26.">
143 Term binders polarized to control ζ-reduction (not released).
145 <news class="alpha" date="2012 April 16.">
146 Context-sensitive subject equivalence
147 for atomic arity assignment
148 (anniversary milestone).
150 <news class="alpha" date="2012 March 15.">
151 Context-sensitive strong normalization
152 for simply typed terms.
154 <news class="alpha" date="2012 January 27.">
155 Generic candidates of reducibility.
157 <news class="alpha" date="2011 September 21.">
158 Confluence for context-sensitive parallel reduction on terms.
160 <news class="alpha" date="2011 September 6.">
161 Confluence for context-free parallel reduction on terms.
163 <news class="alpha" date="2011 April 17.">
167 <section4 name="structure">Logical Structure of the Specification</section4>
168 <body>This table reports the specification's components and their planes.
170 <table name="basic_2_src"/>