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 understand Phil and feature been prompted through him. The examine papers incorporated right here symbolize 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. additionally, we describe the private type and exuberance that Phil has delivered to the subject.

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Additional info for A List of Successes That Can Change the World: Essays Dedicated to Philip Wadler on the Occasion of His 60th Birthday

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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. : Composing monads. : Combining monads. In: Proceedings of the 1992 Glasgow Workshop on Functional Programming, pp.

2011) introduced a bisimulation-like notion of equivalence for pure symmetric lenses, in order to validate laws such as identity, associativity and congruence of composition. Johnson and Rosebrugh (2014) introduced a definition of equivalence of spans and compared it with symmetric lens equivalence. We have considered equivalences based on isomorphism (Abou-Saleh et al. 2015a) and bisimulation (Abou-Saleh et al. 2015b). In this section we consider and relate these approaches in the context of spans of M -lenses.

Right to form the required span between S1 and S3 . Thus, span equivalence is a doubly appropriate name for ≡s : it is an equivalence of spans witnessed by a (pure) span. Finally, we consider a third notion of equivalence, inspired by the natural bisimulation equivalence for coalgebraic bx (Abou-Saleh et al. 5 (Base Map). right. 6 (Bisimulation Equivalence). A bisimulation of M -lens spans sp 1 :: [A S1 B ]M and sp 2 :: [A S2 B ]M is a M -lens span B ]M where R ⊆ S1 × S2 and fst is a base map from sp to sp 1 sp :: [A R and snd is a base map from sp to sp 2 .

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