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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.

March 20, 2026

The Agent That Doesn’t Know Itself

Posted by John Baez

guest post by William Waites

The previous post introduced the plumbing calculus: typed channels, structural morphisms, two forms of composition, and agents as stateful morphisms with a protocol for managing their state. The examples were simple. This post is about what happens when the algebra handles something genuinely complex.

To get there, we need to understand a little about how large language models work.

Posted at 10:39 PM UTC | Permalink | Post a Comment

March 11, 2026

A Typed Language for Agent Coordination

Posted by John Baez

guest post by William Waites

How category theory can be used to help coordinate collections of interacting large language models.

Posted at 10:59 PM UTC | Permalink | Followups (1)