See the paper at https://dl.acm.org/doi/10.1145/3776727 First a presentation at POPL 2026 . My comment : 23:35 You have to get this far to see what they're actually doing! At 28:45 you start to wonder though,... 😂 I think one of these is a synthetic view and the other is analytic, though in Category theory it often isn't obvious which is which! Subscribe to ACM SIGPLAN . Then a more recent one at Topos Institute: Subscribe to Topos Institute . Here's what seems like a good introduction to call-by-push-value: Here's a longer one: This thing turns up in a kind of congruence relation of effects: See Levy's 2006 Jumbo λ-calculus (ref https://dl.acm.org/doi/10.1007/11787006_38 ). 1:04:27 There is a categorical semantics of CBPV using adjunctions. Adding fixpoints and "a mild extension of CBPV using a comonadic modality" See Emily Riehl and Terrence Tau on The Future of Mathematics . Subscribe to ACM SIGPLAN ....