A List of Successes That Can Change the World: Essays by Sam Lindley, Conor McBride, Phil Trinder, Don Sannella

By Sam Lindley, Conor McBride, Phil Trinder, Don Sannella

This quantity is released in Honor of Philip Wadler at the get together of his sixtieth birthday, and the gathering of papers shape a Festschrift for him. The contributions are made by way of a number of the many that be aware of Phil and feature been prompted via him. The examine papers integrated the following characterize many of the components within which Phil has been lively, and the editors thank their colleagues for agreeing to give a contribution to this Festschrift. we try to summarize Phil Wadler's clinical achievements. furthermore, we describe the private variety and exuberance that Phil has delivered to the subject.

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Right. This result is surprising because the two equivalences come from rather different perspectives. Johnson and Rosebrugh introduced a form of span equivalence, and showed that it implies bisimulation equivalence. They did not explicitly address the question of whether this implication is strict. However, there Reflections on Monadic Lenses 17 are some differences between their presentation and ours; the most important difference is the fact that we assume lenses to be equipped with a create function, while they consider lenses without create functions but sometimes consider spans of lenses to be “pointed”, or equipped with designated initial state values.

We give the details for the case sp 1 (l2 , r2 ) = sp 2 , and suppose l :: S1 S2 is a lens satisfying l1 = l ; l2 and r1 = l ; r2 . We need to define a bisimulation consisting of a set R ⊆ S1 × S2 and a span B ]M such that fst is a base map from sp to sp 1 and sp = (l0 , r0 ) :: [A R Reflections on Monadic Lenses 25 snd is a base map from sp to sp 2 . mcreate b We must now show that l0 and r0 are well-behaved (full) lenses, and that the projections fst and snd map sp = (l0 , r0 ) to sp 1 and sp 2 respectively.

1396, pp. : Entangled state monads. : LGtk API correction. : Combinators for bidirectional tree transformations: a linguistic approach to the view-update problem. : Three complementary approaches to bidirectional programming. In: Gibbons, J. ) Generic and Indexed Programming. LNCS, vol. 7470, pp. 1–46. : Symmetric lenses. In: POPL, pp. 371–384. : Spans of lenses. : Composing monads. : Combining monads. In: Proceedings of the 1992 Glasgow Workshop on Functional Programming, pp. : Monad transformers and modular interpreters.

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