Call-by-push-value provides the fine-grained primitives that make up call-by-value and call-by-name lambda-calculus with effects. These primitives can be seen in a wide range of semantics, from operational and machine semantics to domain, possible world, game and continuation models.

But does call-by-push-value have to be exactly like it is? (Spoiler, yes.) What variants could be considered, and what are their advantages and disadvantages? This talk will introduce call-by-push-value, but also look at some related systems, involving concepts such as jumbo connectives, ultimate patterns, complex values and commutativity.