Convexity via Weak Distributive Laws
نویسندگان
چکیده
We study the canonical weak distributive law $\delta$ of powerset monad over semimodule for a certain class semirings containing, in particular, positive semifields. For this subclass we characterise as convex closure free set. Using abstract theory laws, compose and monads via $\delta$, obtaining subsets semimodule.
منابع مشابه
Weak distributive laws
Distributive laws between monads (triples) were defined by Jon Beck in the 1960s; see [1]. They were generalized to monads in 2-categories and noticed to be monads in a 2-category of monads; see [2]. Mixed distributive laws are comonads in the 2-category of monads [3]; if the comonad has a right adjoint monad, the mate of a mixed distributive law is an ordinary distributive law. Particular case...
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ژورنال
عنوان ژورنال: Logical Methods in Computer Science
سال: 2022
ISSN: ['1860-5974']
DOI: https://doi.org/10.46298/lmcs-18(4:8)2022