Chapter 8 Programming with GADTs ML-style variants and records make it possible to define many different data types, including many of the types we encoded in System F𝜔 in Chapter 2.3.2: booleans, sums, lists, trees, and so on. However, types defined this way can lead to an error-prone programming style. For example, the OCaml standard […]
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1 Printing and parsing The Printf and Scanf modules in the OCaml standard library expose functions for printing and parsing using format strings. For example, here is a call to sprintf to build a string from a pair of integers: # Printf.sprintf “(%d, %d)” 3 4;; – : string = “(3, 4)” And here is
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Last time: GADTs a ≡ b 1/ 28 This time: some GADT programming patterns 2/ 28 Term inference for depth-annotated trees type (’a,_) dtree = EmptyD : (’a,z) dtree | TreeD : (’a,’m) dtree * ’a * (’a,’n) dtree * (’m,’n,’o) max → (’a,’o s) dtree val ? : (’a,’n) dtree → ’n val ?
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COMP284 Scripting Languages – Handouts (8 on 1) COMP284 Scripting Languages Lecture 1: Overview of COMP284 Handouts (8 on 1) Ullrich Hustadt Department of Computer Science School of Electrical Engineering, Electronics, and Computer Science University of Liverpool Contents 1 Introduction Motivation Scripting languages 2 COMP284 Aims Learning outcomes Delivery Assessment COMP284 Scripting Languages Lecture 1
L28: Advanced functional programming Exercise 1 Due on 14th February 2017 Submission instructions Your solutions for this exericse should be handed in to the Graduate Education Office by 4pm on the due date. Additionally, for questions 2 and 3, please email the completed text file exercise1.f to jeremy.yallop@cl.cam.ac.uk. Preliminaries For these questions, you may assume
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Chapter 2 Lambda calculus The lambda calculus serves as the basis of most functional programming lan- guages. More accurately, we might say that functional programming languages are based on the lambda calculi (plural), since there are many variants of lambda calculus. In this chapter we’ll introduce three of these variants, starting with the simply typed
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Last time: generic programming val (=) : {D:DATA} → D.t → D.t → bool 1/ 55 This time: monads etc., continued >>= ⊗ effect E 2/ 55 Recap: monads, bind and let An imperative program let id = !counter in let () = counter := id + 1 in string_of_int id A monadic program get
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Last time: monads (etc.) >>= ⊗ 1/ 43 This time: generic programming val show : ’a → string 2/ 43 Generic functions 3/ 43 Data types unit type unit = Unit : unit booleans type bool = False: bool | True : bool natural numbers type nat = Zero: nat | Succ: nat → nat
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Lambda calculus – (Advanced Functional Programming) Roadmap Fω F ??�������� λ→ OO 1/ 37 Last time λ→ → λx:A.M M N sums + inl [B] M inr [A] M case L of x .M | y .N products × ⟨M, N⟩ fst M snd M polymorphism ∀ Λα::K .M M [B] 2/ 37 This time
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To appear in EPTCS. c© Leo White, Frédéric Bour & Jeremy Yallop This work is licensed under the Creative Commons Attribution-No Derivative Works License. Modular implicits Leo White Frédéric Bour Jeremy Yallop We present modular implicits, an extension to the OCaml language for ad-hoc polymorphism inspired by Scala implicits and modular type classes. Modular implicits
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