Akka

The Scandinavian Logic Society

NOL Seminar with Henry Towsner

The Nordic Online Logic Seminar is organised monthly over Zoom, with expository talks on topics of interest for the broader logic community. The seminar is open for professional or aspiring logicians and logic aficionados worldwide. If you wish to receive the Zoom ID and password for it, as well as further announcements, please subscribe here:
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Date Monday, 26 January 2026 at 16:00 CET (UTC+1) on Zoom
Speaker Henry Towsner (Associate Professor, University of Pennsylvania)
Title What proofs can be

Abstract
Throughout proof theory, proofs are often taken to be well-founded (often finite) trees of inferences. Theories of inductive definitions, among other theories, bump up against the limitations of this perspective, and a variety of formalisms have been used to push beyond this - Girard’s beta-proofs, non-well-founded proofs, proofs-as-functions. We briefly describe some features of these approaches, the way these perspectives are essentially equivalent, and the way well-foundedness reasserts itself as a core property of proofs.