Lectures onType Theory
Higher-order signatures and modular elaboration
appendix sectionnotation

Higher-order signatures and modular elaboration

symbol meaning first
symbol meaning first
Δ1sigΔ2 right-associative disjoint sum of ordinary first-order signatures section 24.2
H1H2 right-associative disjoint sum of higher-order signatures, including fork families section 24.2
ForkH(o),RetHH(o) nested-computation signature and ordinary response family of o definition 24.2
HeftyH(A) intrinsically indexed higher-order operation tree definition 24.3
M=Hg,MHN hefty bind and its sequencing abbreviation; bind traverses only the continuation definition 24.6
M=f ordinary free-tree bind in the elaboration target section 24.6
MHN, mn source hefty sequencing and target free-tree sequencing; each ignores the left result definition 24.6, definition 24.17
catag,αH,elaborateE structural hefty catamorphism and its free-tree elaboration instance definition 24.10, definition 24.12
E1E2 right-associative disjoint operation-tag composition of elaboration components definition 24.22
maskw reinjection of a residual free tree along insertion witness w definition 24.16
H root transition of the finite source configuration system used in the seminar exercise 24.16

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