Skip to the Main Content

Note:These pages make extensive use of the latest XHTML and CSS Standards. They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in Mozilla. My best suggestion (and you will thank me when surfing an ever-increasing number of sites on the web which have been crafted to use the new standards) is to upgrade to the latest version of your browser. If that's not possible, consider moving to the Standards-compliant and open-source Mozilla browser.

May 14, 2021

Structure vs. Observation

Posted by Emily Riehl

guest post by Stelios Tsampas and Amin Karamlou

Today we’ll be talking about the theory of universal algebra, and its less well-known counterpart of universal coalgebra. We’ll try to convince you that these two frameworks provide us with suitable tools for studying a fundamental duality that arises between structure and behaviour. Rather than jumping straight into the mathematical details we’ll start with a few motivating examples that arise in the setting of functional programming. We’ll talk more about the mathematics at play behind the scenes in the second half of this post.

Posted at 8:37 PM UTC | Permalink | Followups (24)