For k-linear symmetric monoidal categories with biproducts and algebraically-free commutative monoids, every (monoidal) coalgebra modality admits a free (monoidal) differential modality, and an initial monoidal differential modality is constructed.
The lambda-calculus with multiplicities (abstract)
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SurveyGen-I: Consistent Scientific Survey Generation with Evolving Plans and Memory-Guided Writing
For k-linear symmetric monoidal categories with biproducts and algebraically-free commutative monoids, every (monoidal) coalgebra modality admits a free (monoidal) differential modality, and an initial monoidal differential modality is constructed.