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foreword milestones version 2 (background - core - applications)
version 2 helena Open Symbolic Notation (OSN)
citations visibility version 1 (background - core) (static HELM directory) version 1 library (static LDDL directory)
Summary of the Specification [butterfly]
Here is a numerical account of the specification's contents and its timeline.
category objects




sizes files 229 characters 240969 nodes 1182308
propositions theorems 61 lemmas 805 total 866
concepts declared 30 defined 66 total 96
Stage "B"
Stage "A2": "Extending the Applicability Condition"
Stage "A1": "Extending the Applicability Condition"
Logical Structure of the Specification [butterfly]
This table reports the specification's components and their planes.
component plane files
rt-computation uncounted context-sensitive rt-computation csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )


csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ ) csx_cnx csx_cpxs csx_csx


lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? ) lfpxs_length lfpxs_fqup lfpxs_cpxs


cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? ) cpxs_tdeq cpxs_tsts cpxs_tsts_vector cpxs_drops cpxs_lsubr cpxs_lfpx cpxs_cnx cpxs_cpxs
rt-transition parallel rst-transition fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ ) fpbq_aaa


fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ ) fpb_lfdeq

t-bound context-sensitive rt-transition lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? ) lfpr_length lfpr_drops lfpr_fquq lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr


cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? ) cpr_drops


cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? ) cpm_simple cpm_drops cpm_lsubr cpm_lfxs cpm_cpx

uncounted context-sensitive rt-transition cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ ) cnx_simple cnx_drops cnx_cnx


lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? ) lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_lfdeq lfpx_aaa lfpx_lfpx


cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? ) cpx_simple cpx_drops cpx_fqus cpx_lsubr cpx_lfxs

counted context-sensitive rt-transition cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? ) cpg_simple cpg_drops cpg_lsubr
iterated static typing iterated extension on referred entries tc_lfxs ( ? ⦻**[?,?] ? )
static typing generic reducibility lsubc ( ? ⊢ ? ⫃[?] ? ) lsubc_drops lsubc_lsubr lsubc_lsuba


gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 ) gcp_aaa


gcp

atomic arity assignment lsuba ( ? ⊢ ? ⫃⁝ ? ) lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba


aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? ) aaa_drops aaa_fqus aaa_lfdeq aaa_aaa

degree-based equivalence on referred entries ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ ) ffdeq_fqup ffdeq_ffdeq


lfdeq ( ? ≡[?,?,?] ? ) lfdeq_length lfdeq_drops lfdeq_fqup lfdeq_fqus lfdeq_lfdeq

generic extension on referred entries lfxs ( ? ⦻*[?,?] ? ) lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs

context-sensitive free variables lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ ) lsubf_frees


frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? ) frees_drops frees_fqup frees_frees

restricted ref. for local env. lsubr ( ? ⫃ ? ) lsubr_length lsubr_drops lsubr_lsubr
s-computation iterated structural successor for closures fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ ) fqus_weight fqus_drops fqus_fqup fqus_fqus


fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ ) fqup_weight fqup_drops fqup_fqup
s-transition structural successor for closures fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ ) fquq_length fquq_weight


fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ ) fqu_length fqu_weight
relocation generic slicing for local environments drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )


drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? ) drops_lstar drops_weight drops_length drops_ceq drops_lexs drops_lreq drops_drops

generic relocation for terms lifts_vector ( ⬆*[?] ? ≡ ? ) lifts_lifts_vector


lifts ( ⬆*[?] ? ≡ ? ) lifts_simple lifts_weight lifts_tdeq lifts_lifts

ranged equivalence for local environments lreq ( ? ≡[?] ? ) lreq_length lreq_lreq

generic entrywise extension lexs ( ? ⦻*[?,?,?] ? ) lexs_length lexs_lexs
syntax append for local environments append ( ? @@ ? ) append_length

same top term structure tsts ( ? ⩳[?,?] ? ) tsts_simple tsts_tdeq tsts_tsts tsts_simple_vector

degree-based equivalence for terms deq ( ? ≡[?,?] ? ) deq_deq

closures cl_weight ( ♯{?,?,?} )


cl_restricted_weight ( ♯{?,?} )

global environments genv

local environments lenv_length ( |?| )


lenv_weight ( ♯{?} )


lenv

terms term_vector ( Ⓐ?.? )


term_simple ( 𝐒⦃?⦄ )


term_weight ( ♯{?} )


term

items item_sd


item_sh


item

atomic arities aarity
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Last update: Thu, 16 Mar 2017 20:59:31 +0100