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support for generic reducibility ...
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1 name "basic_2_src"
2
3 table {
4    class "gray"
5    [ { "component" * } {
6         [ { "plane" * } {
7              [ "files" * ]
8           }
9         ]
10      }
11    ]
12 (*
13    class "wine"
14    [ { "examples" * } {
15         [ { "terms with special features" * } {
16              [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" + "ex_snv_eta" * ]
17           }
18         ]
19      }
20    ]
21    class "magenta"
22    [ { "" * } {
23         [ { "" * } {
24              [ "" * ]
25           }
26         ]
27      }
28    ]
29 (*   
30    [ { "higher order dynamic typing" * } {
31         [ { "higher order native type assignment" * } {
32              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
33           }
34         ]
35      }
36    ]
37 *)
38    class "prune"
39    [ { "dynamic typing" * } {
40 (*
41         [ { "local env. ref. for native type assignment" * } {
42              [ "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
43           }
44         ]
45         [ { "native type assignment" * } {
46              [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
47           }
48         ]
49 *)
50         [ { "local env. ref. for stratified native validity" * } {
51              [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
52           }
53         ]
54         [ { "stratified native validity" * } {
55              [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
56              [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" * ]
57           }
58         ]
59      }
60    ]
61    class "blue"
62    [ { "equivalence" * } {
63         [ { "decomposed rt-equivalence" * } {
64              [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
65           }
66         ]
67         [ { "context-sensitive equivalence" * } {
68              [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
69           }
70         ]
71      }
72    ]
73    class "sky"
74    [ { "conversion" * } {
75         [ { "context-sensitive conversion" * } {
76              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
77           }
78         ]
79      }
80    ]
81 *)
82    class "cyan"
83    [ { "rt-computation" * } {
84 (*
85         [ { "evaluation for context-sensitive rt-reduction" * } {
86              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
87           }
88         ]
89         [ { "evaluation for context-sensitive reduction" * } {
90              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
91           }
92         ]
93         [ { "strongly normalizing qrst-computation" * } {
94              [ "fsb ( ⦥[?,?] ⦃?,?,?⦄ )" "fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )" "fsb_aaa" + "fsb_csx" * ]
95           }
96         ]
97         [ { "strongly normalizing rt-computation" * } {
98              [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
99              [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
100              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
101              [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
102           }
103         ]
104         [ { "parallel qrst-computation" * } {
105              [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
106              [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
107           }
108         ]
109         [ { "decomposed rt-computation" * } {
110              [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
111           }
112         ]
113         [ { "context-sensitive computation" * } {
114              [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
115              [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
116           }
117         ]
118 *)        
119         [ { "uncounted context-sensitive rt-transition" * } {
120 (*
121              [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
122              [ "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
123 *)
124              [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" * ] 
125           }
126         ]
127         [ { "generic reducibility" * } {
128              [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]        
129              [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
130           }
131         ]        
132      }
133    ]
134    class "water"
135    [ { "rt-transition" * } {
136         [ { "parallel qrst-rtransition" * } {
137 (*             [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )"  + "fpbq_aaa" * ] *)
138              [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" (* "fpb_lleq" + "fpb_fleq" *) * ]
139           }
140         ]
141 (*
142         [ { "context-sensitive rt-reduction" * } {
143              [ "lpx_lleq" * ]
144              [   "cpx_lleq" * ]
145           }
146         ]
147 *)
148         [ { "t-bound context-sensitive rt-transition" * } {
149              [ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
150              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
151              [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
152           }
153         ]
154         [ { "uncounted context-sensitive rt-transition" * } {
155              [ "cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" * ]
156              [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_aaa" * ]
157              [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" + "cpx_lfdeq" * ]
158           }
159         ]
160         [ { "counted context-sensitive rt-transition" * } {
161              [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
162           }
163         ]
164      }
165    ]
166    class "green"
167    [ { "static typing" * } {
168         [ { "atomic arity assignment" * } {
169              [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
170              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
171           }
172         ]
173         [ { "degree-based equivalence on referred entries" * } {
174              [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
175              [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_fqup" + "lfdeq_lfdeq" * ]
176           }
177         ]
178         [ { "generic extension on referred entries" * } {
179              [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
180           }
181         ]
182         [ { "context-sensitive free variables" * } {
183              [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_frees" * ]
184              [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
185           }
186         ]
187         [ { "restricted ref. for local env." * } {
188              [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
189           }
190         ]
191      }
192    ]
193    class "grass"
194    [ { "s-computation" * } {
195         [ { "iterated structural successor for closures" * } {
196              [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
197              [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
198           }
199         ]
200      }
201    ]
202    class "yellow"
203    [ { "s-transition" * } {
204         [ { "structural successor for closures" * } {
205              [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
206              [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
207           }
208         ]
209      }
210    ]
211    class "orange"
212    [ { "relocation" * } {
213         [ { "generic slicing for local environments" * } {
214              [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
215              [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
216           }
217         ]
218         [ { "generic relocation for terms" * } {
219              [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
220              [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
221           }
222         ]
223         [ { "ranged equivalence for local environments" * } {
224              [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
225           }
226         ]
227         [ { "generic entrywise extension" * } {
228              [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
229           }
230         ]
231      }
232    ]
233    class "red"
234    [ { "syntax" * } {
235         [ { "append for local environments" * } {
236              [ "append ( ? @@ ? )" "append_length" * ]
237           }
238         ]
239         [ { "degree-based equivalence for terms" * } {
240              [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
241           }
242         ]
243         [ { "same top term structure" * } {
244              [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
245           }
246         ]
247         [ { "closures" * } {
248              [ "cl_weight ( ♯{?,?,?} )" * ]
249              [ "cl_restricted_weight ( ♯{?,?} )" * ]
250           }
251         ]
252         [ { "global environments" * } {
253              [ "genv" * ]
254           }
255         ]
256         [ { "local environments" * } {
257              [ "lenv_length ( |?| )" * ]
258              [ "lenv_weight ( ♯{?} )" * ]
259              [ "lenv" * ]
260           }
261         ]
262         [ { "terms" * } {
263              [ "term_vector ( Ⓐ?.? )" * ]
264              [ "term_simple ( 𝐒⦃?⦄ )"  * ]
265              [ "term_weight ( ♯{?} )" * ]
266              [ "term" * ]
267           }
268         ]
269         [ { "items" * } {
270              [ "item_sd" * ]
271              [ "item_sh" * ]
272              [ "item" * ]
273           }
274         ]
275         [ { "atomic arities" * } {
276              [ "aarity" * ]
277           }
278         ]
279      }
280    ]
281 }
282
283 class "top"               { * }
284
285 class "capitalize italic" { 0 }
286
287 class "italic"            { 1 }
288 (*
289         [ { "normal forms for context-sensitive rt-reduction" * } {
290              [ "cnx_crx" + "cnx_cix" * ]
291           }
292         ]
293         [ { "irreducible forms for context-sensitive rt-reduction" * } {
294              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
295           }
296         ]
297         [ { "reducible forms for context-sensitive rt-reduction" * } {
298              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
299           }
300         ]
301         [ { "normal forms for context-sensitive reduction" * } {
302              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
303           }
304         ]
305         [ { "irreducible forms for context-sensitive reduction" * } {
306              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
307           }
308         ]
309         [ { "reducible forms for context-sensitive reduction" * } {
310              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
311           }
312         ]
313         [ { "unfold" * } {
314              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
315           }
316         ]
317         [ { "iterated static type assignment" * } {
318              [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
319           }
320         ]
321         [ { "local env. ref. for degree assignment" * } {
322              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
323           }
324         ]
325         [ { "degree assignment" * } {
326              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
327           }
328         ]
329         [ { "context-sensitive multiple rt-substitution" * } {
330              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
331           }
332         ]
333         [ { "pointwise union for local environments" * } {
334              [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
335           }
336         ]
337         [ { "lazy pointwise extension of a relation" * } {
338              [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_lreq" + "llpx_sn_drop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ]
339           }
340         ]
341         [ { "global env. slicing" * } {
342              [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
343           }
344         ]
345         [ { "context-sensitive ordinary rt-substitution" * } {
346              [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
347           }
348         ]
349         [ { "local env. ref. for rt-substitution" * } {
350              [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
351           }
352         ]
353         [ { "pointwise extension of a relation" * } {
354              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
355           }
356         ]
357              [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
358              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
359 *)