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On graded monads, distributive laws and costrong functors

2025/09/15 by Adriana Balan, Silviu-George Pantelimon, Balan, Adriana +1
Computer Science · #Logic, programming, and type systems #Computability, Logic, AI Algorithms #Parallel Computing and Optimization Techniques

paper · pdf · doi:10.1016/j.jlamp.2026.101148

Abstract

Strong functors and monads are ubiquitous in Computer Science.More recently, comonads have demonstrated their use in structuring context-dependent notions of computation.However, the dualisation of "being strong" property passed somehow unobserved so far.We argue that "being costrong" gives a different understanding of how functors can interact with monoidal structures.This work in progress aims to explore costrong functors and their natural properties, with an eye towards the semantics of computations.

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