G6021 Comparative Programming Reduction and reduction graphs: functional expressions A reduction graph simply shows all the different ways that an expression can be reduced. In this work we use three words interchangeably: reduce, simplify, and evaluate. We introduce some more terminology: • A reducible expression (abbreviated to redex) is an expression that can be simplified. […]
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THE UNIVERSITY OF SUSSEX INFORMATICS BSc FINAL YEAR EXAMINATION 2021 MComp THIRD YEAR EXAMINATION 2021 January 2021 (A1) Comparative Programming Candidates should answer TWO questions out of THREE. If all three questions are attempted only the first two answers will be marked. Each question is worth 50 marks. Write your answers on A4 paper, scan
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G6021 Comparative Programming Reduction and reduction graphs: functional expressions A reduction graph simply shows all the different ways that an expression can be reduced. In this work we use three words interchangeably: reduce, simplify, and evaluate. We introduce some more terminology: • A reducible expression (abbreviated to redex) is an expression that can be simplified.
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G6021: Comparative Programming Exercise Sheet 2 1 Function arguments If a function needs two arguments, it can take them one at a time or both together, as illustrated by the following functions: f x y = x+y g (x,y) = x+y We say that f is a curried version of g. 1. What are the
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G6021: Comparative Programming Some Prolog related questions 1. This question is about comparing paradigms for adding an element at the end of a list. (a) Consider the following logic program defining the insertion of an element at the end of a list. insert(X,[],[X]). insert(X,[S1|S],[S1|S2]) :- insert(X,S,S2). Draw the SLD-resolution tree for the query: :- insert(1,[2],Y).
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G6021 Comparative Programming January 2018 Paper: Solution notes These notes contain full solutions to some parts, but not all. These are not inteded to be model answers: consider them to be hints to help you answer these questions. 2018 Paper: solution notes G6021 Comparative Programming 1/14 Question 1a Given the λ-terms: I = λx.x, T
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1 Types G6021: Comparative Programming Exercise Sheet 7 What are the types of the following? In each case, try to work out the type first, then check with Haskell. (Note: at least one of these does not have a type!) ix=x kxy=x zero f x = x one f x = f x two f
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G6021: Comparative Programming Some Prolog related questions 1. This question is about comparing paradigms for adding an element at the end of a list. (a) Consider the following logic program defining the insertion of an element at the end of a list. insert(X,[],[X]). insert(X,[S1|S],[S1|S2]) :- insert(X,S,S2). Draw the SLD-resolution tree for the query: :- insert(1,[2],Y).
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1. (a) (b) (c) (d) G6021: Comparative Programming Exam Practice 4 Write a function first in Haskell that takes as parameters a number n and a list of numbers l, and returns the first n elements of the list l. The following shows the expected behaviour: first 3 [9,2,4,7,6,5] = [9,2,4] first 0 [1,2,3,4,5,6,7] =
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1 Types Some more notes on Types G6021 Comparative Programming You should know how to type Haskell expressions (see lab exercises for some examples). When the λ-calculus is used in Haskell expressions, you may find it useful to build a derivation or use the type reconstruction algorithm. However, informal reasoning is sufficient for Haskell expressions.
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