A List of Successes That Can Change the World: Essays - download pdf or read online

A List of Successes That Can Change the World: Essays - download pdf or read online

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

ISBN-10: 3319309358

ISBN-13: 9783319309354

ISBN-10: 3319309366

ISBN-13: 9783319309361

This quantity is released in Honor of Philip Wadler at the social gathering of his sixtieth birthday, and the gathering of papers shape a Festschrift for him. The contributions are made by means of many of the many that be aware of Phil and feature been motivated by way of him. The examine papers integrated the following signify a few 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 strive to summarize Phil Wadler's clinical achievements. additionally, we describe the non-public kind and exuberance that Phil has dropped at the subject.

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Additional resources 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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Consider the following construction: () setBool :: Bool → [() ←→ ()]State Bool setBool b = SMLens m m () where m = do {set b; return ((), ())} The lens setBool True has no effect on the complement or values, but sets the state to True. Both setBool True and setBool False are well-behaved, but their composition (in either direction) is not: (PutRLM) fails for setBool True; setBool False because setBool True and setBool False share a single Bool state value. 6. setBool b is well-behaved for b ∈ {True, False }, but setBool True ; setBool False is not well-behaved.

Create b = [[ Definition ]] 29 30 F. Abou-Saleh et al. create b We must also show that l and r are well-behaved full lenses. To show that l is well-behaved, we proceed as follows. get s2 )) = [[ (CreateGet) ]] (s1 , s2 ) Reflections on Monadic Lenses 31 Finally, notice that l and r are defined symmetrically so essentially the same reasoning shows r is well-behaved. To conclude, sp = (l , r ) constitutes a span of lenses witnessing that sp 1 ≡s sp 2 . : Notions of bidirectional computation and entangled state monads.

Acknowledgements. The work was supported by the UK EPSRC-funded project A Theory of Least Change for Bidirectional Transformations (TLCBX Project 2013–2016) (EP/K020218/1, EP/K020919/1). A Proofs for Sect. 5. If l1 :: [A is l1 ; l2 . B ]M and l2 :: [B C ]M are well-behaved, then so Proof. Suppose l1 and l2 are well-behaved, and let l = l1 ;l2 . We reason as follows for (MGetPut): 18 F. Abou-Saleh et al. mput a c; return (a , c)} B Proofs for Sect. 6. setBool x is well-behaved for x ∈ {True, False }, but setBool True ; setBool False is not well-behaved.

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A List of Successes That Can Change the World: Essays Dedicated to Philip Wadler on the Occasion of His 60th Birthday by Sam Lindley, Conor McBride, Phil Trinder, Don Sannella


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