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	329	characters	567347	nodes	1610281
propositions	theorems	105	lemmas	1114	total	1219
concepts	declared	52	defined	76	total	128

The source files are grouped in planes and components according to the following table. Notation files covering the whole specification are provided. The notation for the relations or functions introduced in each file is shown in parentheses (? are placeholders).

component	plane	files
dynamic typing	local env. ref. for stratified native validity	lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )	lsubsv_ldrop lsubsv_lsubd lsubsv_lsuba lsubsv_lsstas lsubsv_cpds lsubsv_cpcs lsubsv_snv
	stratified native validity	snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )	snv_lift snv_da_lpr snv_aaa snv_lsstas snv_lsstas_lpr snv_lpr snv_cpcs
equivalence	decomposed extended equivalence	cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )	cpes_cpds
	context-sensitive equivalence	cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )	cpcs_aaa cpcs_cprs cpcs_cpcs
conversion	context-sensitive conversion	cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )	cpc_cpc
computation	evaluation for context-sensitive extended reduction	cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )
	evaluation for context-sensitive reduction	cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )	cpre_cpre
	strongly normalizing "big tree" computation	fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )	fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )	fsb_aaa fsb_csx
	strongly normalizing extended computation	lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )	lcosx_cpxs
		lsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )	lsx_ldrop lsx_cpxs lsx_csx
		csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )	csx_tstc_vector csx_aaa
		csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )	csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )	csx_lift csx_lpx csx_lpxs csx_fpbs
	"big tree" parallel computation	fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )	fpbg_lift fpbg_fpns fpbg_fpbg
		fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )	fpbc_fpns fpbc_fpbs
		fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )	fpbu_lift fpbu_fpns
		fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )	fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )	fpbs_lift fpbs_aaa fpbs_fpns fpbs_fpbs fpbs_ext
	parallel computation for "big tree" normal forms	fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )	fpns_fpns
	decomposed extended computation	cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )	cpds_lift cpds_aaa cpds_cpds
	context-sensitive extended computation	lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )	lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )	lpxs_ldrop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs
		cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )	cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_cpys cpxs_lleq 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	"big tree" parallel reduction	fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )	fpb_lift fpb_aaa
	normal forms for context-sensitive extended reduction	cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )	cnx_lift cnx_crx cnx_cix
	context-sensitive extended reduction	lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )	lpx_ldrop lpx_cpys lpx_lleq lpx_aaa
		cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )	cpx_lift cpx_cpys cpx_lleq cpx_cix
	irreducible forms for context-sensitive extended reduction	cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )	cix_lift
	reducible forms for context-sensitive extended reduction	crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )	crx_lift
	normal forms for context-sensitive reduction	cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )	cnr_lift cnr_crr cnr_cir
	context-sensitive reduction	lpr ( ⦃?,?⦄ ⊢ ➡ ? )	lpr_ldrop lpr_lpr
		cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )	cpr_lift cpr_cir
	irreducible forms for context-sensitive reduction	cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )	cir_lift
	reducible forms for context-sensitive reduction	crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )	crr_lift
unfold	unfold	unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )
	iterated static type assignment	lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )	lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )	lsstas_lift lsstas_aaa lsstas_lsstas
static typing	local env. ref. for atomic arity assignment	lsuba ( ? ⊢ ? ⁝⊑ ? )	lsuba_ldrop lsuba_aaa lsuba_lsuba
	atomic arity assignment	aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )	aaa_lift aaa_lifts aaa_fqus aaa_da aaa_ssta aaa_aaa
	stratified static type assignment	ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )	ssta_lift ssta_ssta
	local env. ref. for degree assignment	lsubd ( ? ⊢ ? ▪⊑ ? )	lsubd_da lsubd_lsubd
	degree assignment	da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )	da_lift da_da
	parameters	sh	sd
substitution	lazy equivalence for local environments	lleq ( ? ⋕[?,?] ? )	lleq_alt ( ? ⋕⋕[?,?] ? )	lleq_ldrop lleq_fqus lleq_lleq lleq_ext
	contxt-sensitive extended multiple substitution	cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )	cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )	cpys_lift cpys_cpys
	iterated structural successor for closures	fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )	fqus_alt fqus_fqus
		fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )	fqup_fqup
	iterated 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	contxt-sensitive extended ordinary substitution	cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )	cpy_lift cpy_cpy
	restricted local env. ref.	lsubr ( ? ⊑ ? )	lsubr_lsubr
	local env. ref. for extended substitution	lsuby ( ? ⊑×[?,?] ? )	lsuby_lsuby
	structural successor for closures	fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )	fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )
		fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )
	global env. slicing	gdrop ( ⇩[?] ? ≡ ? )	gdrop_gdrop
	basic local env. slicing	ldrop ( ⇩[?,?,?] ? ≡ ? )	ldrop_lpx_sn ldrop_leq ldrop_ldrop
	basic term relocation	lift_vector ( ⇧[?,?] ? ≡ ? )	lift_lift_vector
		lift ( ⇧[?,?] ? ≡ ? )	lift_lift
grammar	equivalence for local environments	leq ( ? ≃[?,?] ? )	leq_leq
	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_weight ( ♯{?,?,?} )	cl_restricted_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.