This is a summary of the "block structure" of the System's syntactic items and reductions.

domain	block	leader	applicator (with →θ)*	reduction	→ζ *	reference *
{X | Γ ⊢ X : W}	local typed abstraction *	Γ ⊢ +λW	ⓐV	→β	no	#i
	local typed declaration **	Γ ⊢ -λW	ⓐV	→β	no	#i
	global typed declaration ***	Γ ⊢ pλW	no	no	no	$p
	native type annotation *	Γ ⊢ ⓝW	no	no	yes	no
{X | Γ ⊢ X = V}	local abbreviation *	Γ ⊢ +δV	no	local →δ	yes	#i
	local definition **	Γ ⊢ -δV	no	local →δ	no	#i
	global definition ***	Γ ⊢ pδV	no	global →δ	no	$p
no	sort ****	Γ ⊢ ⋆k	no	no	no	no

* In terms only. ** In terms and local environments only. *** In global environments only. **** Sort level k in terms only.

Here is a numerical acount of the specification's contents and its timeline. Nodes are counted according to the "intrinsinc complexity measure" [F. Guidi: "Procedural Representation of CIC Proof Terms" Journal of Automated Reasoning 44(1-2), Springer (February 2010), pp. 53-78].

category	objects
sizes	files	247	characters	350287	nodes	1035865
propositions	theorems	76	lemmas	748	total	824
concepts	declared	41	defined	77	total	118

The source files are grouped in planes and components 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 (? are placeholders).

component	plane	files
dynamic typing	"big tree" parallel computation	yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )	yprs_yprs	ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )	ygt_ygt
	"big tree" parallel reduction	ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )	ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )
	local env. ref. for stratified native validity	lsubsv ( ? ⊢ ? ¡⊑[?] ? )	lsubsv_ldrop lsubsv_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv
	stratified native validity	snv ( ⦃?,?⦄ ⊢ ? ¡[?] )	snv_lift snv_aaa snv_ssta snv_sstas snv_ssta_lpr snv_lpr snv_cpcs
equivalence	context-sensitive equivalence	cpcs ( ? ⊢ ? ⬌* ? )	cpcs_aaa cpcs_cprs cpcs_cpcs
conversion	context-sensitive conversion	cpc ( ? ⊢ ? ⬌ ? )	cpc_cpc
computation	context-sensitive extended evaluation	cpxe ( ⦃?,?⦄ ⊢ ➡*[?] 𝐍⦃?⦄ )
	context-sensitive evaluation	cpre ( ? ⊢ ➡* 𝐍⦃?⦄ )	cpre_cpre
	strongly normalizing computation	csn_vector ( ? ⊢ ⬊* ? )	csn_tstc_vector csn_aaa
		csn ( ? ⊢ ⬊* ? )	csn_alt ( ? ⊢ ⬊⬊* ? )	csn_lift csn_lpx
	decomposed extended computation	dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )	dxprs_lift dxprs_aaa dxprs_dxprs
	context-sensitive extended computation	lpxs ( ⦃?,?⦄ ⊢ ➡*[?] ? )	lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?] ? )	lpxs_ldrop lpxs_aaa lpxs_cpxs lpxs_lpxs
		cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?] ? )	cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_aaa cpxs_cpxs
	context-sensitive computation	lprs ( ? ⊢ ➡* ? )	lprs_alt ( ? ⊢ ➡➡* ? )	lprs_ldrop lprs_cprs lprs_lprs
		cprs ( ? ⊢ ? ➡* ?)	cprs_lift cprs_cprs
	local env. ref. for abstract candidates of reducibility	lsubc ( ? ⊑[?] ? )	lsubc_ldrop lsubc_ldrops lsubc_lsuba
	support for abstract computation properties	acp	acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )	acp_aaa
reduction	context-sensitive extended normal forms	cnx ( ⦃?,?⦄ ⊢ 𝐍[?]⦃?⦄ )	cnx_lift cnx_crx cnx_cix
	context-sensitive extended reduction	lpx ( ⦃?,?⦄ ⊢ ➡[?] ? )	lpx_ldrop lpx_aaa
		cpx ( ⦃?,?⦄ ⊢ ? ➡[?] ? )	cpx_lift cpx_cix
	context-sensitive extended irreducible forms	cix ( ⦃?,?⦄ ⊢ 𝐈[?]⦃?⦄ )	cix_append cix_lift
	context-sensitive extended reducible forms	crx ( ⦃?,?⦄ ⊢ 𝐑[?]⦃?⦄ )	crx_append crx_lift
	context-sensitive normal forms	cnr ( ? ⊢ 𝐍⦃?⦄ )	cnr_lift cnr_crr cnr_cir
	context-sensitive reduction	lpr ( ? ⊢ ➡ ? )	lpr_ldrop lpr_lpr
		cpr ( ? ⊢ ? ➡ ? )	cpr_lift cpr_cir
	context-sensitive irreducible forms	cir ( ? ⊢ 𝐈⦃?⦄ )	cir_append cir_lift
	context-sensitive reducible forms	crr ( ? ⊢ 𝐑⦃?⦄ )	crr_append crr_lift
unfold	unfold	unfold ( ? ⊢ ? ⧫* ? )
	iterated stratified static type assignment	sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )	sstas_lift sstas_aaa sstas_sstas
static typing	stratified static type assignment	ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )	ssta_lift ssta_aaa ssta_ssta
	local env. ref. for atomic arity assignment	lsuba ( ? ⁝⊑ ? )	lsuba_ldrop lsuba_aaa lsuba_lsuba
	atomic arity assignment	aaa ( ? ⊢ ? ⁝ ? )	aaa_lift aaa_lifts aaa_aaa
	parameters	sh	sd
substitution	restricted local env. ref.	lsubr ( ? ⊑ ? )	lsubr_lsubr
	iterated structural successor for closures	fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )	fsups_fsups
		fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )	fsupp_fsupp
	generic local env. slicing	ldrops ( ⇩*[?] ? ≡ ? )	ldrops_ldrop ldrops_ldrops
	generic term relocation	lifts_vector ( ⇧*[?] ? ≡ ? )	lifts_lift_vector
		lifts ( ⇧*[?] ? ≡ ? )	lifts_lift lifts_lifts
	support for generic relocation	gr2 ( @⦃?,?⦄ ≡ ? )	gr2_plus ( ? + ? )	gr2_minus ( ? ▭ ? ≡ ? )	gr2_gr2
relocation	structural successor for closures	fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )	fsupq ( ⦃?,?⦄ ⊃⸮ ⦃?,?⦄ )	fsupq_alt
	global env. slicing	gdrop ( ⇩[?] ? ≡ ? )	gdrop_gdrop
	basic local env. slicing	ldrop ( ⇩[?,?] ? ≡ ? )	ldrop_append ldrop_lpx_sn ldrop_ldrop
	basic term relocation	lift_vector ( ⇧[?,?] ? ≡ ? )	lift_lift_vector
		lift ( ⇧[?,?] ? ≡ ? )	lift_lift
grammar	pointwise extension of a relation	lpx_sn	lpx_sn_tc lpx_sn_lpx_sn
	same top term constructor	tstc ( ? ≃ ? )	tstc_tstc tstc_vector
	closures	cl_shift ( ? @@ ? )	cl_weight ( ♯{?,?} )
	internal syntax	genv
		lenv	lenv_weight ( ♯{?} )	lenv_length ( |?| )	lenv_append ( ? @@ ? )
		term	term_weight ( ♯{?} )	term_simple ( 𝐒⦃?⦄ )	term_vector
		item
	external syntax	aarity

The source files are grouped in directories, one for each component.