Generalizes prior ordered logic work with adjoint modalities for fine-grained structural properties including weakening, contraction, and mobility, proving cut elimination and decidable proof checking in sequent and natural deduction calculi.
The mathematics of sentence structure.The American Mathematical Monthly, 65(3):154–170, 1958
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Ordered Adjoint Logic (Extended Version)
Generalizes prior ordered logic work with adjoint modalities for fine-grained structural properties including weakening, contraction, and mobility, proving cut elimination and decidable proof checking in sequent and natural deduction calculi.