By Sam Lindley, Conor McBride, Phil Trinder, Don Sannella
This quantity is released in Honor of Philip Wadler at the celebration of his sixtieth birthday, and the gathering of papers shape a Festschrift for him. The contributions are made through a number of the many that comprehend Phil and feature been stimulated by way of him. The study papers integrated right here signify many of the parts 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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Extra info for A List of Successes That Can Change the World: Essays Dedicated to Philip Wadler on the Occasion of His 60th Birthday
Voigtl¨ ander, J. ) MPC 2015. LNCS, vol. 9129, pp. 187–214. : Coalgebraic aspects of bidirectional computation. In: BX 2015, CEUR-WS, vol. 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.
10 transfers to these settings. 10 carries over to symmetric lenses (we conjecture that it does). 5 Conclusions Lenses are a popular and powerful abstraction for bidirectional transformations. Although they are most often studied in their conventional, pure form, practical applications of lenses typically grapple with side-eﬀects, including exceptions, state, and user interaction. Some recent proposals for extending lenses with monadic eﬀects have been made; our proposal for (asymmetric) monadic lenses improves on them because M -lenses are closed under composition for any ﬁxed monad M .
If sp :: [A also well-behaved. S B ]M is well-behaved, then span2smlens sp is ♦ Proof. Let sl = span2smlens sp. We need to show that the laws (PutRLM) and (PutLRM) hold. We show (PutRLM), and (PutLRM) is symmetric. mput R (a, mc); return (a, mc )} There are two cases, depending on whether the initial state mc is Nothing or Just c for some c. mget s , Just s ); 22 F. Abou-Saleh et al. 12. If sl :: SMLens Id C A B is well-behaved, then smlens2span sl is also well-behaved, with state space S consisting of the consistent triples of sl .