+
+
+
-
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fwww%2Flambdadelta%2Fbasic_2.html;h=4ee92ddf065d71ef9bca67faea7b84c433b18471;hb=df11c235566a301d9e1f9e41a372cc85bcb7b60e;hp=353b1c74e3a13c93f716eb4661aef787e5b5fb37;hpb=68b5af5ca8f1e7f98485b92692b3dcb1ae240d19;p=helm.git diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html index 353b1c74e..4ee92ddf0 100644 --- a/helm/www/lambdadelta/basic_2.html +++ b/helm/www/lambdadelta/basic_2.html @@ -16,14 +16,14 @@
sizes | files | -360 | +235 | characters | -433402 | +225732 | nodes | -1874778 | +1092645 |
propositions | theorems | -130 | +61 | lemmas | -1286 | +738 | total | -1416 | +799 |
concepts | declared | -54 | +29 | defined | -89 | +66 | total | -143 | +95 |
component | plane | files | -
- - |
-
- - |
|
|||||||||||||||||||||||||||||||
examples | -terms with special features | -ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta | -
- - |
-
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- | - | - |
- - |
-
- - |
-
- - |
- |||||||||||||||||||||||||||||||
dynamic typing | -local env. ref. for stratified native validity | -lsubsv ( ? ⢠? â«Â¡[?,?] ? ) | -lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- stratified native validity | -shnv ( �,?⦠⢠? ¡[?,?,?] ) | -
- - |
-
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
-
- - |
- snv ( �,?⦠⢠? ¡[?,?] ) | -snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_fsb snv_scpes snv_preserve | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
equivalence | -decomposed rt-equivalence | -scpes ( â¦?,?⦠⢠? â¢*â¬*[?,?,?,?] ? ) | -scpes_aaa scpes_cpcs scpes_scpes | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- context-sensitive equivalence | -cpcs ( â¦?,?⦠⢠? â¬* ? ) | -cpcs_aaa cpcs_cprs cpcs_cpcs | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
conversion | -context-sensitive conversion | -cpc ( �,?⦠⢠? ⬠? ) | -cpc_cpc | -
- - |
+ rt-computation | +uncounted context-sensitive rt-transition | +csx_vector ( â¦?,?⦠⢠â¬*[?,?] ðâ¦?⦠) |
|
||||||||||||||||||||||||||||
computation | -evaluation for context-sensitive rt-reduction | -cpxe ( â¦?,?⦠⢠â¡*[?,?] ðâ¦?⦠) | -
- - |
- + |
|
-
- - |
- ||||||||||||||||||||||||||||||
- - |
- evaluation for context-sensitive reduction | -cpre ( â¦?,?⦠⢠â¡* ðâ¦?⦠) | -cpre_cpre | -
- - |
- + |
|
+ csx ( â¦?,?⦠⢠â¬*[?,?] ðâ¦?⦠) | +csx_cnx csx_cpxs csx_csx | ||||||||||||||||||||||||||||
+ |
|
- strongly normalizing qrst-computation | -fsb ( ⦥[?,?] �,?,?⦠) | -fsb_alt ( ⦥⦥[?,?] �,?,?⦠) | -fsb_aaa fsb_csx | -+ |
|
+ lfpxs ( â¦?,?⦠⢠â¬*[?,?] ? ) | +lfpxs_length lfpxs_fqup | |||||||||||||||||||||||||||
- - |
- strongly normalizing rt-computation | -lcosx ( ? ⢠~â¬*[?,?,?] ? ) | -lcosx_cpx | -+ |
|
- + |
|
+ cpxs ( â¦?,?⦠⢠? â¬*[?] ? ) | +cpxs_tdeq cpxs_drops cpxs_lfpx cpxs_cpxs | |||||||||||||||||||||||||||
- - |
-
- - |
- lsx ( ? ⢠â¬*[?,?,?,?] ? ) | -lsx_alt ( ? ⢠â¬â¬*[?,?,?,?] ? ) | -lsx_drop lsx_lpx lsx_lpxs llsx_csx | +rt-transition | +parallel qrst-transition | +fpb ( â¦?,?,?⦠â»[?,?] â¦?,?,?⦠) |
|
@@ -492,17 +418,9 @@
|
-
- - |
- csx_vector ( â¦?,?⦠⢠â¬*[?,?] ? ) | -csx_tsts_vector csx_aaa | -
- - |
-
- - |
+ t-bound context-sensitive rt-transition | +lfpr ( â¦?,?⦠⢠â¡[?,?] ? ) | +lfpr_length lfpr_drops lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr | |||||||||||||||||||
@@ -511,26 +429,8 @@ |
|
- csx ( â¦?,?⦠⢠â¬*[?,?] ? ) | -csx_alt ( â¦?,?⦠⢠â¬â¬*[?,?] ? ) | -csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs | -
- - |
- |||||||||||||||||||||||||||||||
- - |
- parallel qrst-computation | -fpbg ( â¦?,?,?⦠>â¡[?,?] â¦?,?,?⦠) | -fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg | -
- - |
-
- - |
+ cpr ( â¦?,?⦠⢠? â¡[?] ? ) | +cpr_drops | |||||||||||||||||||||||||||||
@@ -539,40 +439,16 @@ |
|
- fpbs ( â¦?,?,?⦠â¥[?,?] â¦?,?,?⦠) | -fpbs_alt ( â¦?,?,?⦠â¥â¥[?,?] â¦?,?,?⦠) | -fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs | -
- - |
+ cpm ( â¦?,?⦠⢠? â¡[?,?] ? ) | +cpm_simple cpm_drops cpm_lsubr cpm_lfxs cpm_cpx | |||||||||||||||||||||||||||||
|
- decomposed rt-computation | -scpds ( â¦?,?⦠⢠? â¢*â¡*[?,?,?] ? ) | -scpds_lift scpds_aaa scpds_scpds | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- context-sensitive rt-computation | -lpxs ( â¦?,?⦠⢠â¡*[?,?] ? ) | -lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs | -
- - |
-
- - |
+ uncounted context-sensitive rt-transition | +cnx ( â¦?,?⦠⢠â¬[?,?] ðâ¦?⦠) | +cnx_simple cnx_drops | ||||||||||||||||||||||||||||
@@ -581,28 +457,8 @@ |
|
- cpxs ( â¦?,?⦠⢠? â¡*[?,?] ? ) | -cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- context-sensitive computation | -lprs ( â¦?,?⦠⢠â¡* ? ) | -lprs_drop lprs_cprs lprs_lprs | -
- - |
-
- - |
+ lfpx ( â¦?,?⦠⢠â¬[?,?] ? ) | +lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_lfdeq lfpx_aaa lfpx_lfpx | |||||||||||||||||||||||||||||
@@ -611,332 +467,144 @@ |
|
- cprs ( â¦?,?⦠⢠? â¡* ?) | -cprs_lift cprs_cprs | -
- - |
-
- - |
+ cpx ( â¦?,?⦠⢠? â¬[?] ? ) | +cpx_simple cpx_drops cpx_fqus cpx_lsubr cpx_lfxs | |||||||||||||||||||||||||||||
|
- local env. ref. for generic reducibility | -lsubc ( ? ⢠? â«[?] ? ) | -lsubc_drop lsubc_drops lsubc_lsuba | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- support for generic computation properties | -gcp | -gcp_cr ( â¦?,?,?⦠ϵ[?] ã?ã ) | -gcp_aaa | -
- - |
- |||||||||||||||||||||||||||||||
reduction | -parallel qrst-reduction | -fpbq ( â¦?,?,?⦠â½[?,?] â¦?,?,?⦠) | -fpbq_alt ( â¦?,?,?⦠â½â½[?,?] â¦?,?,?⦠) | -fpbq_lift fpbq_aaa | -
- - |
- |||||||||||||||||||||||||||||||
- - |
-
- - |
- fpb ( â¦?,?,?⦠â»[?,?] â¦?,?,?⦠) | -fpb_lift fpb_lleq fpb_fleq | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- normal forms for context-sensitive rt-reduction | -cnx ( â¦?,?⦠⢠â¡[?,?] ðâ¦?⦠) | -cnx_lift cnx_crx cnx_cix | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- context-sensitive rt-reduction | -lpx ( â¦?,?⦠⢠â¡[?,?] ? ) | -lpx_drop lpx_frees lpx_lleq lpx_aaa | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
-
- - |
- cpx ( â¦?,?⦠⢠? â¡[?,?] ? ) | -cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- irreducible forms for context-sensitive rt-reduction | -cix ( â¦?,?⦠⢠â¡[?,?] ðâ¦?⦠) | -cix_lift | -
- - |
-
- - |
+ counted context-sensitive rt-transition | +cpg ( â¦?,?⦠⢠? â¬[?,?] ? ) | +cpg_simple cpg_drops cpg_lsubr | ||||||||||||||||||||||||||||
- - |
- reducible forms for context-sensitive rt-reduction | -crx ( â¦?,?⦠⢠â¡[?,?] ðâ¦?⦠) | -crx_lift | -
- - |
+ iterated static typing | +generic extension on referred entries | +lfxss ( ? ⦻**[?,?] ? ) |
|
||||||||||||||||||||||||||||
- - |
- normal forms for context-sensitive reduction | -cnr ( â¦?,?⦠⢠⡠ðâ¦?⦠) | -cnr_lift cnr_crr cnr_cir | -
- - |
-
- - |
+ static typing | +generic reducibility | +lsubc ( ? ⢠? â«[?] ? ) | +lsubc_drops lsubc_lsubr lsubc_lsuba | |||||||||||||||||||||||||||
- - |
- context-sensitive reduction | -lpr ( �,?⦠⢠⡠? ) | -lpr_drop lpr_lpr | -+ |
|
- + |
|
+ gcp_cr ( â¦?,?,?⦠ϵ[?] ã?ã ) | +gcp_aaa | |||||||||||||||||||||||||||
- - |
- + |
|
- cpr ( �,?⦠⢠? ⡠? ) | -cpr_lift cpr_llpx_sn cpr_cir | -+ |
|
- + | gcp | +
|
|||||||||||||||||||||||||||
- - |
- irreducible forms for context-sensitive reduction | -cir ( â¦?,?⦠⢠⡠ðâ¦?⦠) | -cir_lift | -
- - |
- + |
|
+ atomic arity assignment | +lsuba ( ? ⢠? â«â ? ) | +lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba | |||||||||||||||||||||||||||
- - |
- reducible forms for context-sensitive reduction | -crr ( â¦?,?⦠⢠⡠ðâ¦?⦠) | -crr_lift | -+ |
|
- + |
|
+ aaa ( â¦?,?⦠⢠? â ? ) | +aaa_drops aaa_fqus aaa_lfdeq aaa_aaa | |||||||||||||||||||||||||||
unfold | -unfold | -unfold ( �,?⦠⢠? ⧫* ? ) | -
- - |
-
- - |
- + |
|
+ degree-based equivalence on referred entries | +ffdeq ( â¦?,?,?⦠â¡[?,?] â¦?,?,?⦠) | +ffdeq_fqup ffdeq_ffdeq | |||||||||||||||||||||||||||
|
- iterated static type assignment | -lstas ( â¦?,?⦠⢠? â¢*[?,?] ? ) | -lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas | -
- - |
- + |
|
+ lfdeq ( ? â¡[?,?,?] ? ) | +lfdeq_length lfdeq_fqup lfdeq_lfdeq | ||||||||||||||||||||||||||||
static typing | -local env. ref. for degree assignment | -lsubd ( ? ⢠? â«âª[?,?] ? ) | -lsubd_da lsubd_lsubd | -
- - |
- + |
|
+ generic extension on referred entries | +lfxs ( ? ⦻*[?,?] ? ) | +lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs | |||||||||||||||||||||||||||
- - |
- degree assignment | -da ( â¦?,?⦠⢠? âª[?,?] ? ) | -da_lift da_aaa da_da | -
- - |
- + |
|
+ context-sensitive free variables | +lsubf ( â¦?,?⦠â«ð * â¦?,?⦠) | +lsubf_frees | |||||||||||||||||||||||||||
- - |
- parameters | -sh | -sd | -+ |
|
- + |
|
+ frees ( ? ⢠ð *â¦?⦠⡠? ) | +frees_drops frees_fqup frees_frees | |||||||||||||||||||||||||||
- - |
- local env. ref. for atomic arity assignment | -lsuba ( ? ⢠? â«â ? ) | -lsuba_aaa lsuba_lsuba | -
- - |
- + |
|
+ restricted ref. for local env. | +lsubr ( ? â« ? ) | +lsubr_length lsubr_drops lsubr_lsubr | |||||||||||||||||||||||||||
- - |
- atomic arity assignment | -aaa ( â¦?,?⦠⢠? â ? ) | -aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa | -
- - |
-
- - |
+ s-computation | +iterated structural successor for closures | +fqus ( â¦?,?,?⦠â* â¦?,?,?⦠) | +fqus_weight fqus_drops fqus_fqup fqus_fqus | |||||||||||||||||||||||||||
|
- restricted local env. ref. | -lsubr ( ? â« ? ) | -lsubr_lsubr | -
- - |
- + |
|
+ fqup ( â¦?,?,?⦠â+ â¦?,?,?⦠) | +fqup_weight fqup_drops fqup_fqup | ||||||||||||||||||||||||||||
multiple substitution | -lazy equivalence | -fleq ( â¦?,?,?⦠â¡[?] â¦?,?,?⦠) | -fleq_fleq | -
- - |
-
- - |
+ s-transition | +structural successor for closures | +fquq ( â¦?,?,?⦠â⸮ â¦?,?,?⦠) | +fquq_length fquq_weight | |||||||||||||||||||||||||||
@@ -945,291 +613,167 @@ |
|
- lleq ( ? â¡[?,?] ? ) | -lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- lazy pointwise extension of a relation | -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 | -
- - |
-
- - |
- |||||||||||||||||||||||||||||||
- - |
- pointwise union for local environments | -llor ( ? â[?,?] ? â¡ ? ) | -llor_alt llor_drop | -
- - |
-
- - |
+ fqu ( â¦?,?,?⦠â â¦?,?,?⦠) | +fqu_length fqu_weight | |||||||||||||||||||||||||||||
- - |
- context-sensitive exclusion from free variables | -frees ( ? ⢠? ϵ ð *[?]â¦?⦠) | -frees_append frees_lreq frees_lift | -
- - |
- + | relocation | +generic slicing for local environments | +drops_vector ( â¬*[?,?] ? â¡ ? ) ( â¬*[?] ? â¡ ? ) | +
|
|||||||||||||||||||||||||||
+ |
|
- contxt-sensitive multiple rt-substitution | -cpys ( â¦?,?⦠⢠? â¶*[?,?] ? ) | -cpys_alt ( â¦?,?⦠⢠? â¶â¶*[?,?] ? ) | -cpys_lift cpys_cpys | -+ |
|
+ drops ( â¬*[?,?] ? â¡ ? ) ( â¬*[?] ? â¡ ? ) | +drops_lstar drops_weight drops_length drops_ceq drops_lexs drops_lreq drops_drops | |||||||||||||||||||||||||||
- - |
- iterated structural successor for closures | -fqus ( â¦?,?,?⦠â* â¦?,?,?⦠) | -fqus_alt fqus_fqus | -
- - |
- + |
|
+ generic relocation for terms | +lifts_vector ( â¬*[?] ? â¡ ? ) | +lifts_lifts_vector | |||||||||||||||||||||||||||
- - |
-
- - |
- fqup ( â¦?,?,?⦠â+ â¦?,?,?⦠) | -fqup_fqup | -+ |
|
- + |
|
+ lifts ( â¬*[?] ? â¡ ? ) | +lifts_simple lifts_weight lifts_tdeq lifts_lifts | |||||||||||||||||||||||||||
- - |
- iterated local env. slicing | -drops ( â¬*[?,?] ? â¡ ? ) | -drops_drop drops_drops | -
- - |
- + |
|
+ ranged equivalence for local environments | +lreq ( ? â¡[?] ? ) | +lreq_length lreq_lreq | |||||||||||||||||||||||||||
- - |
- generic term relocation | -lifts_vector ( â¬*[?] ? â¡ ? ) | -lifts_lift_vector | -
- - |
- + |
|
+ generic entrywise extension | +lexs ( ? ⦻*[?,?,?] ? ) | +lexs_length lexs_lexs | |||||||||||||||||||||||||||
- - |
-
- - |
- lifts ( â¬*[?] ? â¡ ? ) | -lifts_lift lifts_lifts | -
- - |
-
- - |
+ syntax | +append for local environments | +append ( ? @@ ? ) | +append_length | |||||||||||||||||||||||||||
+ |
|
- support for multiple relocation | -mr2 ( @â¦?,?⦠⡠? ) | -mr2_plus ( ? + ? ) | -mr2_minus ( ? â ? â¡ ? ) | -mr2_mr2 | +degree-based equivalence for terms | +deq ( ? â¡[?,?] ? ) | +deq_deq | |||||||||||||||||||||||||||
substitution | -structural successor for closures | -fquq ( â¦?,?,?⦠â⸮ â¦?,?,?⦠) | -fquq_alt ( â¦?,?,?⦠ââ⸮ â¦?,?,?⦠) | -
- - |
- + |
|
+ same top term structure | +tsts ( ? â ? ) | +tsts_tsts tsts_vector | |||||||||||||||||||||||||||
- - |
-
- - |
- fqu ( â¦?,?,?⦠â â¦?,?,?⦠) | -
- - |
- + |
|
- + | closures | +cl_weight ( â¯{?,?,?} ) | +
|
|||||||||||||||||||||||||||
+ |
|
- global env. slicing | -gget ( â¬[?] ? â¡ ? ) | -gget_gget | -+ |
|
- + | cl_restricted_weight ( â¯{?,?} ) | +
|
|||||||||||||||||||||||||||
- - |
- contxt-sensitive ordinary rt-substitution | -cpy ( â¦?,?⦠⢠? â¶[?,?] ? ) | -cpy_lift cpy_nlift cpy_cpy | -+ |
|
- + | global environments | +genv | +
|
|||||||||||||||||||||||||||
- - |
- local env. ref. for rt-substitution | -lsuby ( ? â[?,?] ? ) | -lsuby_lsuby | -+ |
|
- + | local environments | +lenv_length ( |?| ) | +
|
|||||||||||||||||||||||||||
+ |
|
- pointwise extension of a relation | -lpx_sn | -lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn | -+ |
|
- + | lenv_weight ( â¯{?} ) | +
|
|||||||||||||||||||||||||||
+ |
|
- basic local env. slicing | -drop ( â¬[?,?,?] ? â¡ ? ) | -drop_append drop_lreq drop_drop | -+ |
|
- + | lenv | +
|
|||||||||||||||||||||||||||
- - |
- basic term relocation | -lift_vector ( â¬[?,?] ? â¡ ? ) | -lift_lift_vector | -+ |
|
- + | terms | +term_vector ( �.? ) | +
|
|||||||||||||||||||||||||||
- - |
-
- - |
- lift ( â¬[?,?] ? â¡ ? ) | -lift_neq lift_lift | -
- - |
- + |
|
- ||||||||||||||||||||||||||||||
grammar | -equivalence for local environments | -lreq ( ? ⩬[?,?] ? ) | -lreq_lreq | -+ |
|
+ term_simple ( ðâ¦?⦠) |
|
@@ -1238,12 +782,10 @@
|
- same top term structure | -tsts ( ? â ? ) | -tsts_tsts tsts_vector | -+ |
|
+ term_weight ( â¯{?} ) |
|
@@ -1252,12 +794,10 @@
|
- closures | -cl_weight ( â¯{?,?,?} ) | -cl_restricted_weight ( â¯{?,?} ) | -+ |
|
+ term |
|
@@ -1266,14 +806,8 @@
|
- internal syntax | -genv | -
- - |
-
- - |
+ items | +item_sd |
|
@@ -1285,22 +819,10 @@
|
- lenv | -lenv_weight ( â¯{?} ) | -lenv_length ( |?| ) | -lenv_append ( ? @@ ? ) | -
- - |
- + | item_sh | +
|
- term | -term_weight ( â¯{?} ) | -term_simple ( ðâ¦?⦠) | -term_vector ( â¶?.? ) | |||||||||||||||||||||||||||||
@@ -1310,12 +832,6 @@
|
item | -
- - |
-
- - |
|
@@ -1324,14 +840,8 @@
|
- external syntax | +atomic arities | aarity | -
- - |
-
- - |
|
@@ -1339,9 +849,8 @@