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="2018 November 1.">
31 Extended (λδ-2) and restricted (λδ-1) type rules justified.
33 <news class="alpha" date="2018 September 21.">
35 confluence of rt-computation and
36 preservation of validity for rt-computation.
38 <news class="alpha" date="2018 June 8.">
39 Behavioral component rt_computation completed.
41 <news class="alpha" date="2018 April 16.">
43 (anniversary milestone).
45 <news class="alpha" date="2018 March 9.">
46 Support for rt-computation completed.
48 <news class="alpha" date="2017 October 17.">
49 Exclusion binder in local environments.
50 Syntactic component updated:
51 syntax, relocation, s_transition, s_computation, static, i_static.
53 <news class="alpha" date="2017 April 16.">
54 Strong rt-normalization
55 for simply typed terms
56 (anniversary milestone).
58 <news class="alpha" date="2017 March 16.">
59 Behavioral component rt_transition completed.
61 <news class="alpha" date="2017 February 19.">
62 Generic candidates of reducibility.
64 <news class="alpha" date="2017 January 17.">
65 Confluence for parallel r-transition on referred entries of local environments.
67 <news class="alpha" date="2016 September 15.">
68 Confluence for context-sensitive parallel r-transition on terms.
70 <news class="alpha" date="2016 April 16.">
71 Syntactic component completed:
72 syntax, relocation, s_transition, s_computation, static
73 (anniversary milestone).
75 <news class="alpha" date="2016 March 25.">
76 Relocation with reference transforming maps (rtmap).
78 <news class="alpha" date="2015 October 9.">
82 <subsection name="A">Stage "A" </subsection>
83 <news class="delta" date="2015 August 27.">
84 λδ-2A appears too complex and is dismissed.
86 <news class="gamma" date="2014 October 28.">
87 λδ version 2A is released.
89 <news class="beta" date="2014 September 9.">
90 Iterated static type assignment defined (more elegantly)
91 as a primitive notion.
93 <news class="beta" date="2014 June 18.">
94 Preservation of stratified native validity
95 for context-sensitive computation on terms.
97 <news class="alpha" date="2014 June 9.">
98 Strong qrst-normalization
99 for simply typed terms.
101 <news class="alpha" date="2014 April 16.">
102 Lazy equivalence on local environments
103 added as q-step to rst-computation on closures
104 (anniversary milestone).
106 <news class="alpha" date="2014 January 20.">
107 Parametrized slicing on local environments
108 comprises both versions of this operation
109 (one from basic_1, the other used in basic_2 till now).
111 <news class="alpha" date="2013 August 7.">
112 Passive support for global environments.
114 <news class="alpha" date="2013 July 27.">
115 Reaxiomatized β-reductum as in rt-reduction.
117 <news class="alpha" date="2013 July 20.">
118 Context-sensitive strong rt-normalization
119 for simply typed terms.
121 <news class="alpha" date="2013 April 16.">
122 Reaxiomatized substitution and reduction
123 commute with respect to subclosure
124 (anniversary milestone).
126 <news class="alpha" date="2013 March 16.">
127 Mutual recursive preservation of stratified native validity
128 for rst-computation on closures.
130 <news class="alpha" date="2012 October 16.">
131 Confluence for context-free parallel reduction on closures.
133 <news class="alpha" date="2012 July 26.">
134 Term binders polarized to control ζ-reduction (not released).
136 <news class="alpha" date="2012 April 16.">
137 Context-sensitive subject equivalence
138 for atomic arity assignment
139 (anniversary milestone).
141 <news class="alpha" date="2012 March 15.">
142 Context-sensitive strong normalization
143 for simply typed terms.
145 <news class="alpha" date="2012 January 27.">
146 Generic candidates of reducibility.
148 <news class="alpha" date="2011 September 21.">
149 Confluence for context-sensitive parallel reduction on terms.
151 <news class="alpha" date="2011 September 6.">
152 Confluence for context-free parallel reduction on terms.
154 <news class="alpha" date="2011 April 17.">
158 <section4 name="structure">Logical Structure of the Specification</section4>
159 <body>This table reports the specification's components and their planes.
161 <table name="basic_2_src"/>