3 papers
cs.LO2026
Continuous Algebras with Hypotheses
Lukas Mulder, Damien Pous, Jana Wagemaker
In the literature on Kleene algebra (KA), a number of variants have been proposed such as Kleene algebra with tests, commutative KA, bi-KA, and concurrent KA. The equational theori…
math.CT2025
Functoriality of Enriched Data Types
Lukas Mulder, Paige Randall North, Maximilien Péroux
In previous work, categories of algebras of endofunctors were shown to be enriched in categories of coalgebras of the same endofunctor, and the extra structure of that enrichment w…
math.CT2024
Measuring data types
Lukas Mulder, Paige Randall North, Maximilien Péroux
In this article, we combine Sweedler's classic theory of measuring coalgebras -- by which -algebras are enriched in -coalgebras for a field -- with the theory of W-types…