Categories — Entidade

mpaviotti.github.io·há 8 meses

Recursion as an Effect

In one of my previous post I showed that anytheory featuring general recursion is inconsistent when viewed as a logicalsystem which inevitably leads to the idea that all definable functions in such at

mpaviotti.github.io·há 8 meses

On Lax Monoidal Functors

What is the difference between a lax monoidal functor a monoid in a Day-monoidal category a morphism of lax-algebras for the free monoid 2-monad, and a codistributive law with the tensor product?

snapwiki.miraheze.org·há 11 meses

Block Categories - Snap! Wiki

Blocks are grouped by categories, making it easier to find blocks. Each category has a color. In the category selector, categories with no shown blocks are faded...

geoserver.org·há 11 meses

Master GeoServer WPS - Key Input Categories You Need

GeoSpatial Techno is a startup focused on geospatial information that is providing e-learning courses to enhance the knowledge of geospatial information users, students, and other startups. The main a

mpaviotti.github.io·há quase 3 anos

Bisimulations, Equality and Traces

Strong bisimulation for CCS is the preferred equivalence method in concurrency because it relates less programs than trace equality. However, the reality is that is strong bisimulation and trace equal

mpaviotti.github.io·há quase 3 anos

The mini Yoneda lemma for Type Theorists

I have managed to teach the Yoneda lemma to students who knew very little about category theory, here’s how you do it.

mpaviotti.github.io·há mais de 3 anos

CCCs and the complete models of STLC

Cartesian closed categories are not regarded as complete models of the Simply Typed \(\lambda\)-calculus in the traditional sense. Let’s see why.

mpaviotti.github.io·há quase 4 anos

Inconsistencies in Cartesian Closed Categories with fixed-points

Any Cartesian Closed Category (CCC) with an initial object and a fixed-point operator is trivial. Essentially this means that in languages like (e.g.) Haskell the empty type is not actually empty as i