By Paul Blain Levy (auth.)
Call-by-push-value is a programming language paradigm that, unusually, breaks down the call-by-value and call-by-name paradigms into basic primitives. This monograph, written for graduate scholars and researchers, exposes the call-by-push-value constitution underlying a amazing diversity of semantics, together with operational semantics, domain names, attainable worlds, continuations and video games.
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Extra info for Call-By-Push-Value: A Functional/Imperative Synthesis
Proposition 7 T he relation ~anytype is st rictly finer than ~ground. D Perh aps the simplest example of this proposition is print "hello ". M ~ground AX. (print "hello" . J, which is not ground, distinguishes the two sides . 4) is t hat, inside a ground CBN term, the only way to cause a subte rm of type A ----7 B to be evalua ted is to apply it. i,verge 20 CALL-BY-PUSH- VALUE This general CBN phenomenon can be described as "effects commute with A". Various authors studying CBN languages with only ground types and function types have exploited it by allowing certain features at ground type only, as the corresponding features at function type are then definable: erratic choice [Hennessy and Ashcroft, 1980], control effects [Laird , 1997] and conditional branching [Plotkin, 1977].
2. This machine gives us anot her clas s of terms-the stacks. Wher eas fun cti on ty pes beh ave badly in CB V and sum ty pes beh ave badly in CBN, in CBPV all ty pes beh ave well. We see this in Ch ap. 3 by giving an equational t heory for CBPV. We actually give 2 t heories: withou t stacks and with stacks (t he lat t er conservat ively extends the former). To pr esent t h is t heo ry, we have to extend CBP V with complex values. However , as we expla in in Sect. 5, t his is not a problem , because complex values can always b e removed from comp ut at ions and from closed values.
1 A context r is a finite sequence of identifiers with value types Xo : A o, ... , Xn - I : An- I . Sometimes we omit t he identifiers and 0 wr ite r as a list of value types.
Call-By-Push-Value: A Functional/Imperative Synthesis by Paul Blain Levy (auth.)