Type-, grade- and operationally-preserving translations show that linear-base and graded-base coeffect calculi express the same notions of context dependence.
Title resolution pending
3 Pith papers cite this work, alongside 47 external citations. Polarity classification is still indexing.
3
Pith papers citing it
47
external citations · Crossref
years
2026 3representative citing papers
An adjoint pair of graded functors, with the cost functor both a graded monad and a compatible graded comonad, soundly models cost and potential in λ-amor, with a copresheaf model via Day convolution as a new instance.
GRASS unifies graded and substructural type systems by supporting arbitrary collections of grade algebras and develops categorical semantics that subsumes LNL, Adjoint Logic, and mGL.
citing papers explorer
-
Same Coeffect, Different Base: Connecting Two Dominant Approaches to Graded Types
Type-, grade- and operationally-preserving translations show that linear-base and graded-base coeffect calculi express the same notions of context dependence.
-
Categorical Models of Amortized Cost: An Adjoint Relationship between Cost and Potential
An adjoint pair of graded functors, with the cost functor both a graded monad and a compatible graded comonad, soundly models cost and potential in λ-amor, with a copresheaf model via Day convolution as a new instance.
-
A unification of graded and substructural logics
GRASS unifies graded and substructural type systems by supporting arbitrary collections of grade algebras and develops categorical semantics that subsumes LNL, Adjoint Logic, and mGL.