By Christian W. Probst, Chris Hankin, René Rydhof Hansen
This Festschrift quantity is released in honor of Hanne Riis Nielson and Flemming Nielson at the social gathering in their sixtieth birthdays in 2014 and 2015, respectively. The papers incorporated during this quantity care for the extensive zone of calculi, semantics, and analysis.
The e-book positive aspects contributions from colleagues, who've labored including Hanne and Flemming via their medical lifestyles and are devoted to them and to their paintings. The papers have been awarded at a colloquium on the Technical collage of Denmark in January 2016.
Read or Download Semantics, Logics, and Calculi: Essays Dedicated to Hanne Riis Nielson and Flemming Nielson on the Occasion of Their 60th Birthdays PDF
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Example text
This captures the idea (implicit in the category of sets, but not in all categories) that a free variable may be captured by an outer λ-binding. Strong monads have an additional operation: strA,B : A × TB → T(A × B) satisfying various axioms (see [23,24]) which amount to saying that the effects encoded in the result of str are the effects encoded by the second argument. The monadic semantics for (bind) in Monad (shown in Sect. 3), omitting the type subscripts on extend and str, is then: Γ let x ⇐ e in e : M F •G τ : Γ → T τ = λγ .
30. : Coeffects: unified static analysis of contextdependence. , Peleg, D. ) ICALP 2013, Part II. LNCS, vol. 7966, pp. 385–397. Springer, Heidelberg (2013) 31. : Coeffects: a calculus of context-dependent computation. In: Proceedings of the 19th ACM SIGPLAN international conference on Functional programming, pp. 123–135. ACM (2014) 32. : Joinads: a retargetable control-flow construct for reactive, parallel and concurrent programming. , Launchbury, J. ) PADL 2011. LNCS, vol. 6539, pp. 205–219. Springer, Heidelberg (2011) 33.
CondTA (b, y, z)) x The proof follows straightforwardly from the monad and condA axioms. This gives the standard derived semantics for conditionals. Definition 5 (Conditional joinads). , given f : A → B then map f : TA → TB, and assoc (a, (b, c)) = ((a, b), c) and swap (a, b) = (b, a). Categorically, merge therefore witnesses that T is a symmetric monoidal functor with additional right-distributivity with mcond. We use the merge operation directly for the semantics of the par construct: Γ e par e : τ × τ , F &G = merge τ , τ ( Γ e : τ, F , Γ e : τ ,G ) (14) 22 A.