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 June 2.">
31 Parametrized applicability condition
32 allows λδ-2B to generalize both λδ-1A and λδ-1B.
34 <news class="beta" date="2019 April 16.">
35 Extended (λδ-2A) and restricted (λδ-1A) validity is decidable
36 (anniversary milestone).
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).
43 <news class="beta" date="2018 November 1.">
44 Extended (λδ-2A) and restricted (λδ-1A) type rules justified.
46 <news class="alpha" date="2018 September 21.">
48 confluence of rt-computation and
49 preservation of validity for rt-computation.
51 <news class="alpha" date="2018 June 8.">
52 Behavioral component rt_computation completed.
54 <news class="alpha" date="2018 April 16.">
56 (anniversary milestone).
58 <news class="alpha" date="2018 March 9.">
59 Support for rt-computation completed.
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.
66 <news class="alpha" date="2017 April 16.">
67 Strong rt-normalization
68 for simply typed terms
69 (anniversary milestone).
71 <news class="alpha" date="2017 March 16.">
72 Behavioral component rt_transition completed.
74 <news class="alpha" date="2017 February 19.">
75 Generic candidates of reducibility.
77 <news class="alpha" date="2017 January 17.">
78 Confluence for parallel r-transition on referred entries of local environments.
80 <news class="alpha" date="2016 September 15.">
81 Confluence for context-sensitive parallel r-transition on terms.
83 <news class="alpha" date="2016 April 16.">
84 Syntactic component completed:
85 syntax, relocation, s_transition, s_computation, static
86 (anniversary milestone).
88 <news class="alpha" date="2016 March 25.">
89 Relocation with reference transforming maps (rtmap).
91 <news class="alpha" date="2015 October 9.">
95 <subsection name="A">Stage "A" </subsection>
96 <news class="delta" date="2015 August 27.">
97 λδ-2A appears too complex and is dismissed.
99 <news class="gamma" date="2014 October 28.">
100 λδ version 2A is released.
102 <news class="beta" date="2014 September 9.">
103 Iterated static type assignment defined (more elegantly)
104 as a primitive notion.
106 <news class="beta" date="2014 June 18.">
107 Preservation of stratified native validity
108 for context-sensitive computation on terms.
110 <news class="alpha" date="2014 June 9.">
111 Strong qrst-normalization
112 for simply typed terms.
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).
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).
124 <news class="alpha" date="2013 August 7.">
125 Passive support for global environments.
127 <news class="alpha" date="2013 July 27.">
128 Reaxiomatized β-reductum as in rt-reduction.
130 <news class="alpha" date="2013 July 20.">
131 Context-sensitive strong rt-normalization
132 for simply typed terms.
134 <news class="alpha" date="2013 April 16.">
135 Reaxiomatized substitution and reduction
136 commute with respect to subclosure
137 (anniversary milestone).
139 <news class="alpha" date="2013 March 16.">
140 Mutual recursive preservation of stratified native validity
141 for rst-computation on closures.
143 <news class="alpha" date="2012 October 16.">
144 Confluence for context-free parallel reduction on closures.
146 <news class="alpha" date="2012 July 26.">
147 Term binders polarized to control ζ-reduction (not released).
149 <news class="alpha" date="2012 April 16.">
150 Context-sensitive subject equivalence
151 for atomic arity assignment
152 (anniversary milestone).
154 <news class="alpha" date="2012 March 15.">
155 Context-sensitive strong normalization
156 for simply typed terms.
158 <news class="alpha" date="2012 January 27.">
159 Generic candidates of reducibility.
161 <news class="alpha" date="2011 September 21.">
162 Confluence for context-sensitive parallel reduction on terms.
164 <news class="alpha" date="2011 September 6.">
165 Confluence for context-free parallel reduction on terms.
167 <news class="alpha" date="2011 April 17.">
171 <section4 name="structure">Logical Structure of the Specification</section4>
172 <body>This table reports the specification's components and their planes.
174 <table name="basic_2_src"/>