By Stephanie Weirich Haskell’09 Program Chair
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Extra resources for Haskell’09 Proceedings of the 2009 ACM SIGPLAN Haskell Symposium
WComp t = minComp t ‘unamb‘ (uComp t ‘asAgree‘ vComp t) Unambiguous choice The representation of improving values in Section 10 relies on an “unambiguous choice” operator with determinate semantics and an underlying concurrent implementation. -- Efficient combination of max and ( ) maxLE :: Ord a ⇒ Improving a → Improving a → (Improving a, Bool ) -- ... similarly ... -- precondition: compatible arguments unamb :: a → a → a In order to preserve simple, determinate semantics, unamb may only be applied to arguments that agree where defined.
4 Another angle on events -- for non-decreasing times newtype Event a = Ev (Future (Reactive a)) With this representation, the semantic function on events peels off one time and value at a time. Composing Reactive values capture the purely discrete aspect of reactive behaviors, while time functions capture the purely continuous. Combining them yields a representation for reactive behaviors. occs :: Event a → Ea occs (Ev (Fut (∞, ))) = [ ] occs (Ev (Fut (tˆa , a ‘Stepper ‘ e ))) = (tˆa , a) : occs e type Behavior = Reactive ◦ Fun Time Why use this representation of events instead of directly mimicking the semantic model E?
Well, not quite. Although (reactive) behaviors are defined over continuous time, they are not necessarily continuous. For instance, a behavior that counts key-presses changes only discretely. Let’s further tease apart the discrete and continuous aspects of behaviors into two separate types. Call the purely discrete part a “reactive value” and the continuous part a “time function”. FRP’s notion of reactive behavior decomposes neatly into these two simpler notions. Recall from Section 1 that continuous time is one of the reasons for choosing pull-based evaluation, despite the typical inefficiency relative to push-based.
Haskell’09 Proceedings of the 2009 ACM SIGPLAN Haskell Symposium by Stephanie Weirich Haskell’09 Program Chair