Tracking Information

Abstract

Depending on a relevant task at hand, information can be represented at different levels, less or more detailed, each supporting its own appropriate logical languages. We discuss a few of these levels and their connections, and investigate when and how information growth at one level can be tracked at another. The resulting view has two intertwined forms of logical dynamics for informational agents: one of update and one of representation. Mike Dunn has been a lifelong pioneer in the study of logic and information, with seminal contributions to relevant and resource logics, including their semantic, algebraic and proof-theoretic dimensions. I offer the thoughts to follow as an academic fellow-traveler.