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documentation implementation
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 178 characters 183178 nodes 957953
propositions theorems 48 lemmas 630 total 678
concepts declared 25 defined 43 total 68
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-transition t-bound context-sensitive rt-transition lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? ) lfpr_length lfpr_drops lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr


cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? ) cpr_drops


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

uncounted context-sensitive rt-transition lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? ) lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_aaa


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

counted context-sensitive rt-transition cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? ) cpg_simple cpg_drops cpg_lsubr
static typing restricted ref. for atomic arity assignment lsuba ( ? ⊢ ? ⫃⁝ ? ) lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba

atomic arity assignment aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? ) aaa_drops aaa_fqus aaa_lfeq aaa_aaa

equivalence for closures on referred entries ffeq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ ) ffeq_freq

equivalence for local environments on referred entries lfeq ( ? ≡[?] ? ) lfeq_length lfeq_lreq lfeq_fqup lfeq_lfeq

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

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

context-sensitive free variables frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? ) frees_weight frees_lreq 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_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

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

same top term structure tsts ( ? ≂ ? ) tsts_tsts tsts_vector

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: Sun, 22 Jan 2017 20:42:51 +0100