X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fwww%2Flambda_delta%2Fld_basic_2.html;h=da3ebdad33ec3ffacbd26ac8d20ebad684ecc353;hb=111e641bb0772a542293b796c9d4a18fc9d58a00;hp=29d10498a66ebe24e7f4f2446a4937adaf5bc747;hpb=11c990c59a914e7d329b3181ce5373400927e25d;p=helm.git diff --git a/helm/www/lambda_delta/ld_basic_2.html b/helm/www/lambda_delta/ld_basic_2.html index 29d10498a..da3ebdad3 100644 --- a/helm/www/lambda_delta/ld_basic_2.html +++ b/helm/www/lambda_delta/ld_basic_2.html @@ -14,17 +14,51 @@
[lambda_delta home]
cic:/matita/lambda_delta/Basic_2/ (λδ version 2)
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-
Logical structure of the contribution
+
System's Syntax and Behavior
+
This is a summary of the "block structure" + of the System's syntactic items and reductions. +
+
domainblockleaderapplicator (with →θ)*reduction→ζ *reference *
{X | Γ ⊢ X : W}typed abstraction **Γ ⊢ λWⓐV→βno#i

typed declaration ***Γ ⊢ pλWnonono$p

native type annotation *Γ ⊢ ⓣWnonoyesno
{X | Γ ⊢ X = V}local abbreviation **Γ ⊢ δVnolocal →δyes#i

global abbreviation ***Γ ⊢ pδVnoglobal →δno$p
nosort ****Γ ⊢ ⋆knononono
+
* In terms only. + ** In terms and local environments only. + *** In global environments only. + **** Sort level k in terms only. +
+ +
Summary of the Specification
+
Here is a numerical acount of the specification's contents + and its timeline. +
+
categoryobjects




propositionstheorems43lemmas422total465
conceptsdeclared32defined35total67
+ + + + + + +
Logical Structure of the Specification
The source files are grouped in planes and components - according to the following table. - The notation for the relations or functions introduced in each file - is shown in parentheses. + according to the following table. + A notation file covering the whole specification is provided. + The notation for the relations or functions introduced in each file + is shown in parentheses.
-
componentplanefiles


functionalreduction and type machinertmrtm_step ( ? ⇨ ? )


unfoldlift ( ↑[?,?] ? )subst ( [?←?] ? )

examples




native typing
nty


conversioncontext-sensitive conversioncpcs ( ? ⊢ ? ⬌* ? )


computationstrongly normalizing computationcsn ( ⬇* ? )csn_crcsn_aaa

context-sensitive computationcprs (? ⊢ ? ➡* ?)



local env. ref. for abstract candidates of reducibilitylsubc ( ? [?] ⊑ ? )lsubc_ldroplsubc_ldropslsubc_lsuba

support for abstract computation propertiesacpacp_cr ( ⦃?,?⦄ ϵ 〚?〛 )acp_aaa
reducibilitycontext-sensitive reductionlcpr ( ? ⊢ ➡ ? )




cpr ( ? ⊢ ? ➡ ? )cpr_liftcpr_ltprcpr_cpr

context-free normal formstwhnftnf


context-free reductionltpr ( ? ➡ ? )ltpr_ldrop



tpr ( ? ➡ ? )tpr_lifttpr_tpsstpr_tpr

context-free reducible formstrf


static typingstatic type assignmentstysty_liftsty_sty

local env. ref. for atomic arity assignmentlsuba ( ? ÷⊑ ? )



atomic arity assignmentaaa ( ? ⊢ ? ÷ ? )aaa_liftaaa_liftsaaa_aaa

parameterssh


unfoldterm inverse relocationdelift ( ? ⊢ ? [?,?] ≡ ? )delift_lift


partial unfoldltpss ( ? [?,?] ▶* ? )ltpss_ldropltpss_tpsltpss_ltpss


tpss ( ? ⊢ ? [?,?] ▶* ? )tpss_lifttpss_tpsstpss_ltps

generic local env. slicingldrops ( ⇩*[?] ? ≡ ? )ldrops_ldropldrops_ldrops

generic term relocationlifts_vector ( ⇧*[?] ? ≡ ? )lifts_lift_vector



lifts ( ⇧*[?] ? ≡ ? )lifts_liftlifts_lifts

support for generic relocationgr2gr2_gr2

substitutionparallel substitutionltps ( ? [?,?] ▶ ? )ltps_ldropltps_tpsltps_ltps


tps ( ? ⊢ ? [?,?] ▶ ? )tps_lifttps_tps

global env. slicinggdrop ( ⇩[?] ? ≡ ? )gdrop_gdrop


basic local env. slicingldrop ( ⇩[?,?] ? ≡ ? )ldrop_ldrop


basic term relocationlift_vector ( ⇧[?,?] ? ≡ ? )lift_lift_vector



lift ( ⇧[?,?] ? ≡ ? )lift_lift

grammarlocal env. ref. for substitutionlsubs ( ? [?,?] ≼ ? )lsubs_lsubs


term hom.thomthom_thom


closurescl_shift ( ? @ ? )cl_weight ( #[?,?] )


internal syntaxgenv




lenvlenv_weight ( #[?] )lenv_length ( |?| )


termterm_weight ( #[?] )term_simpleterm_vector


item



external syntaxaarity


-
Physical structure of the contribution
-
The source files are grouped in directories, one for each - component. +
componentplanefiles




examples






native typing
nty




conversioncontext-sensitive conversioncpcs ( ? ⊢ ? ⬌* ? )




computationstrongly normalizing computationcsn_vector ( ⬇* ? )csn_lcpr_vectorcsn_aaa




csn ( ⬇* ? )csn_liftcsn_cprcsn_cprs ( ⬇** ? )csn_lcpr

context-sensitive computationcprs (? ⊢ ? ➡* ?)cprs_liftcprs_lcprcprs_cprscprs_tstccprs_tstc_vector

local env. ref. for abstract candidates of reducibilitylsubc ( ? [?] ⊑ ? )lsubc_ldroplsubc_ldropslsubc_lsuba


support for abstract computation propertiesacpacp_cr ( ⦃?,?⦄ ϵ 〚?〛 )acp_aaa


reducibilitycontext-sensitive normal formscnf ( ? ⊢ 𝐍[?] )cnf_lift




context-sensitive reductionlcpr ( ? ⊢ ➡ ? )lcpr_cpr





cpr ( ? ⊢ ? ➡ ? )cpr_liftcpr_ltpsscpr_ltprcpr_cpr

context-free normal formstwhnf ( 𝐖𝐇𝐍[?] )tnf ( 𝐍[?] )tnf_tif



context-free reductionltpr ( ? ➡ ? )ltpr_ldropltpr_tps




tpr ( ? ➡ ? )tpr_lifttpr_tpsstpr_tpr


context-free reducible formstrf ( 𝐑[?] )tif ( 𝐈[?] )



static typingstatic type assignmentstysty_liftsty_sty



local env. ref. for atomic arity assignmentlsuba ( ? ÷⊑ ? )lsuba_ldroplsuba_aaalsuba_lsuba


atomic arity assignmentaaa ( ? ⊢ ? ÷ ? )aaa_liftaaa_liftsaaa_aaa


parameterssh




unfoldterm inverse relocationdelift ( ? ⊢ ? [?,?] ≡ ? )delift_lift




partial unfoldltpss ( ? [?,?] ▶* ? )ltpss_ldropltpss_tpsltpss_ltpss



tpss ( ? ⊢ ? [?,?] ▶* ? )tpss_lifttpss_tpsstpss_ltps


generic local env. slicingldrops ( ⇩*[?] ? ≡ ? )ldrops_ldropldrops_ldrops



generic term relocationlifts_vector ( ⇧*[?] ? ≡ ? )lifts_lift_vector





lifts ( ⇧*[?] ? ≡ ? )lifts_liftlifts_lifts



support for generic relocationgr2 ( @ [ ? ] ? ≡ ? )gr2_plus ( ? + ? )gr2_minus ( ? ▭ ? ≡ ? )gr2_gr2

substitutionparallel substitutionltps ( ? [?,?] ▶ ? )ltps_ldropltps_tpsltps_ltps



tps ( ? ⊢ ? [?,?] ▶ ? )tps_lifttps_tps



global env. slicinggdrop ( ⇩[?] ? ≡ ? )gdrop_gdrop




basic local env. slicingldrop ( ⇩[?,?] ? ≡ ? )ldrop_ldrop




basic term relocationlift_vector ( ⇧[?,?] ? ≡ ? )lift_lift_vector





lift ( ⇧[?,?] ? ≡ ? )lift_lift



grammarlocal env. ref. for substitutionlsubs ( ? [?,?] ≼ ? )lsubs_lsubs




same head term formtshf ( ? ≈ ? )tshf_tshf




same top term constructortstc ( ? ≃ ? )tstc_tstctstc_vector



closurescl_shift ( ? @ ? )cl_weight ( #[?,?] )




internal syntaxgenv






lenvlenv_weight ( #[?] )lenv_length ( |?| )




termterm_weight ( #[?] )term_simple ( 𝐒[?] )term_vector



item





external syntaxaarity




+ +
Physical Structure of the Specification
+
The source files are grouped in directories, + one for each component.
-
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