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 September 3.">
31 Applicability condition is now parametrized
32 with a generic subset of numbers.
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.
39 <news class="beta" date="2019 April 16.">
40 Extended (λδ-2A) and restricted (λδ-1B) validity is decidable
41 (anniversary milestone).
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).
48 <news class="beta" date="2018 November 1.">
49 Extended (λδ-2A) and restricted (λδ-1A) type rules justified.
51 <news class="alpha" date="2018 September 21.">
53 confluence of rt-computation and
54 preservation of validity for rt-computation.
56 <news class="alpha" date="2018 June 8.">
57 Behavioral component rt_computation completed.
59 <news class="alpha" date="2018 April 16.">
61 (anniversary milestone).
63 <news class="alpha" date="2018 March 9.">
64 Support for rt-computation completed.
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.
71 <news class="alpha" date="2017 April 16.">
72 Strong rt-normalization
73 for simply typed terms
74 (anniversary milestone).
76 <news class="alpha" date="2017 March 16.">
77 Behavioral component rt_transition completed.
79 <news class="alpha" date="2017 February 19.">
80 Generic candidates of reducibility.
82 <news class="alpha" date="2017 January 17.">
83 Confluence for parallel r-transition on referred entries of local environments.
85 <news class="alpha" date="2016 September 15.">
86 Confluence for context-sensitive parallel r-transition on terms.
88 <news class="alpha" date="2016 April 16.">
89 Syntactic component completed:
90 syntax, relocation, s_transition, s_computation, static
91 (anniversary milestone).
93 <news class="alpha" date="2016 March 25.">
94 Relocation with reference transforming maps (rtmap).
96 <news class="alpha" date="2015 October 9.">
100 <subsection name="A">Stage "A" </subsection>
101 <news class="delta" date="2015 August 27.">
102 λδ-2A appears too complex and is dismissed.
104 <news class="gamma" date="2014 October 28.">
105 λδ version 2A is released.
107 <news class="beta" date="2014 September 9.">
108 Iterated static type assignment defined (more elegantly)
109 as a primitive notion.
111 <news class="beta" date="2014 June 18.">
112 Preservation of stratified native validity
113 for context-sensitive computation on terms.
115 <news class="alpha" date="2014 June 9.">
116 Strong qrst-normalization
117 for simply typed terms.
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).
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).
129 <news class="alpha" date="2013 August 7.">
130 Passive support for global environments.
132 <news class="alpha" date="2013 July 27.">
133 Reaxiomatized β-reductum as in rt-reduction.
135 <news class="alpha" date="2013 July 20.">
136 Context-sensitive strong rt-normalization
137 for simply typed terms.
139 <news class="alpha" date="2013 April 16.">
140 Reaxiomatized substitution and reduction
141 commute with respect to subclosure
142 (anniversary milestone).
144 <news class="alpha" date="2013 March 16.">
145 Mutual recursive preservation of stratified native validity
146 for rst-computation on closures.
148 <news class="alpha" date="2012 October 16.">
149 Confluence for context-free parallel reduction on closures.
151 <news class="alpha" date="2012 July 26.">
152 Term binders polarized to control ζ-reduction (not released).
154 <news class="alpha" date="2012 April 16.">
155 Context-sensitive subject equivalence
156 for atomic arity assignment
157 (anniversary milestone).
159 <news class="alpha" date="2012 March 15.">
160 Context-sensitive strong normalization
161 for simply typed terms.
163 <news class="alpha" date="2012 January 27.">
164 Generic candidates of reducibility.
166 <news class="alpha" date="2011 September 21.">
167 Confluence for context-sensitive parallel reduction on terms.
169 <news class="alpha" date="2011 September 6.">
170 Confluence for context-free parallel reduction on terms.
172 <news class="alpha" date="2011 April 17.">
176 <section4 name="structure">Logical Structure of the Specification</section4>
177 <body>This table reports the specification's components and their planes.
179 <table name="basic_2_src"/>