16 citations · 38 across the 6 of their papers we have counts for
6 papers
A Categorical Semantics for Hierarchical Petri Nets
Fabrizio Romano Genovese, Jelle Herold, Fosco Loregian +1
We show how a particular variety of hierarchical nets, where the firing of a transition in the parent net must correspond to an execution in some child net, can be modelled utilizi…
idris-ct: A Library to do Category Theory in Idris
Fabrizio Genovese, Alex Gryzlov, Jelle Herold +4
We introduce idris-ct, a Idris library providing verified type definitions of categorical concepts.idris-ct strives to be a bridge between academy and industry, catering both to ca…
Foundations of brick diagrams
Jules Hedges, Jelle Herold
We discuss the foundations of 2-dimensional graphical languages, with a view towards their computer implementation in a 'compiler' for monoidal categories. In particular, we discus…
The Mathematical Specification of the Statebox Language
Statebox Team, Fabrizio Genovese, Jelle Herold
This document defines the mathematical backbone of the Statebox programming language. In the simplest way possible, Statebox can be seen as a clever way to tie together different t…
Computational Petri Nets: Adjunctions Considered Harmful
Fabrizio Genovese, Alex Gryzlov, Jelle Herold +3
We review some of the endeavors in trying to connect Petri nets with free symmetric monoidal categories. We give a list of requirement such connections should respect if they are m…
Executions in (Semi-)Integer Petri Nets are Compact Closed Categories
Fabrizio Genovese, Jelle Herold
In this work, we analyse Petri nets where places are allowed to have a negative number of tokens. For each net we build its correspondent category of executions, which is compact c…