Cartesian effect categories are Freyd-categories

DOI10.1016/j.jsc.2010.09.008zbMath1229.18005OpenAlexW2052395241MaRDI QIDQ631572

Jean-Guillaume Dumas, Jean-Claude Reynaud, Dominique Duval

Publication date: 14 March 2011

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.09.008

zbMATH Keywords

monadscategorical logiccategorical semanticscomputational effectssequential productarrowsCartesian effect categorieseffect categoriesFreyd-categoriesHaskell's arrowspremonoidal categories

Mathematics Subject Classification ID

Semantics in the theory of computing (68Q55) Categorical semantics of formal languages (18C50) Categorical structures (18D99)

Related Items (3)

Deduction as reduction, from a categorical point of view ⋮ Promonads and String Diagrams for Effectful Categories ⋮ Logical rules as fractions and logics as sketches

Uses Software

• Haskell

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Notions of computation and monads
• Partiality, cartesian closedness, and toposes
• Introduction to extensive and distributive categories
• Generalising monads to arrows
• Combining effects: sum and tensor
• Control categories and duality: on the categorical semantics of the lambda-mu calculus
• Premonoidal categories and notions of computation
• What is a Categorical Model of Arrows?
• A new notation for arrows

This page was built for publication: Cartesian effect categories are Freyd-categories