Lectures onType Theory
Scoped operations and explicit substitution
appendix sectionnotation

Scoped operations and explicit substitution

symbol meaning first
symbol meaning first
Σ,Γ ordinary-operation and scoped-operation signature functors 23.1
Po,Ro ordinary parameter and response sets for operation o 23.1
Ps,Qs ordinary parameter and scoped-position sets for scope creator s 23.1
TΣ,ΓA (usually TA) scoped syntax with return set A 23.2
Var,Op,Scope return, ordinary operation, and scoped-operation constructors 23.2
Scopes(p;X;m;k) elementwise scoped node: parameters, intermediate result set, scoped computations, and outside continuation 23.2
[X,m,k] reindexing class of an elementwise scope representative 23.4
t[f] explicit substitution of f:ATB for return leaves of t:TA 23.9
= scoped-syntax bind, defined by explicit substitution 23.12

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