Search

• < Previous
• 1
• Next >

---

A Recipe for State-and-Effect Triangles

Bart Jacobs.

In the semantics of programming languages one can view programs as state transformers, or as predicate transformers. Recently the author has introduced state-and-effect triangles which capture this situation categorically, involving an adjunction between state- and predicate-transformers. The&nbsp;[&hellip;]

---

Hyper Normalisation and Conditioning for Discrete Probability Distributions

Bart Jacobs.

Normalisation in probability theory turns a subdistribution into a proper distribution. It is a partial operation, since it is undefined for the zero subdistribution. This partiality makes it hard to reason equationally about normalisation. A novel description of normalisation is given as a&nbsp;[&hellip;]

---

Distances between States and between Predicates

Bart Jacobs ; Abraham Westerbaan.

This paper gives a systematic account of various metrics on probability distributions (states) and on predicates. These metrics are described in a uniform manner using the validity relation between states and predicates. The standard adjunction between convex sets (of states) and effect modules (of&nbsp;[&hellip;]

---