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

This quantity is released in Honor of Philip Wadler at the party of his sixtieth birthday, and the gathering of papers shape a Festschrift for him. The contributions are made by means of the various many that recognize Phil and feature been inspired by way of him. The learn papers integrated right here symbolize a few of the parts during which Phil has been energetic, 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 non-public sort and exuberance that Phil has delivered to 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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The key constructors of session types include input and output, characterising the exchange of data, and internal and external choice, characterising branching evaluation. Honda’s typing discipline assures session fidelity, meaning that at each synchronisation the communicating 34 R. Atkey et al. processes agree on the types of values exchanged. His system is extended to πcalculus-like processes by Takeuchi et al. (1994) and Honda et al. (1998). Session typing relies on a substructural type system to assure session fidelity; however, Honda did not relate his types to the propositions of linear logic, and he relies on a self-dual type for closed channels.

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.

We begin by considering extensions of Wadler’s CP calculus that increase its expressiveness—at the cost of properties such as deadlock freedom—while retaining session fidelity (well-typed communication). To do so, we explore two approaches. On the one hand, we directly investigate the inclusion of π-calculus terms excluded by CP’s type system, bringing CP more in line with the term calculi in most existing presentations of session types. Doing so requires the addition of new typing rules, and we consider their interpretation as proof rules and their logical consequences.

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