• Recall that time complexity (also known as running time) is a property of a Turing machine (property of a program) • Time complexity is a function from N → N , which for input 𝑛 gives as output the longest time the program takes on an input of size (or length) 𝑛 • The […]
Lucas NoritomiHartwig University of Toronto March 6, 2024 Lucas NoritomiHartwig UofT CSC363H5 S Computability March 6, 2024 1 52 CSC363H5 S Computability Tutorial 7 Turing Machine Runtime Construct a decider function for the language L 0n1n : n N. Lucas NoritomiHartwig UofT CSC363H5 S Computability March 6, 2024 2 52 Turing Machine Runtime Construct a
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Lucas Noritomi-Hartwig University of Toronto March 13, 2024 Lucas Noritomi-Hartwig (UofT) CSC363H5 S – Computability March 13, 2024 1 / 44 CSC363H5 S – Computability Tutorial 8 Exercise – L in P? Define the following language L (where |x| is the length of the string x): |x| 2 L= x∈Σ∗:3|Xk Lucas Noritomi-Hartwig (UofT) CSC363H5
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let buf = Lexing. from_channel stdin in let f = lex float buf in print endline f You should lex floats according to the following (after A floating constant consists of an integer part, a decimal point, a fraction part, an e or an E, and an optionally signed integer exponent. The integer and fraction
User-Define Types and Type Classes 2 Thumrongsak Kosiyatrakul Thumrongsak Kosiyatrakul User-Define Types and Type Classes 2 Instance of the Eq Type Class Let¡¯s look at the information about the Eq type class: ghci> :i Eq class Eq a where (==) :: a -> a -> Bool (/=) :: a -> a -> Bool {-# MINIMAL
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Input and Output Thumrongsak Kosiyatrakul Thumrongsak Kosiyatrakul Input and Output Input and Output So far, we still cannot receive input from keyboard or print output on the console screen We will cover the following basics: What are I/O actions? How do I/O actions enable us to do I/O? When are I/O actions actually performed? Unfortunately,
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Thumrongsak Kosiyatrakul Thumrongsak Kosiyatrakul What is a Monoid? A set S equipped with a binary operation of type S × S → S denoted by ·, is a monoid if it satisfies the following conditions: Associativity: for every elements 𝑎, 𝑏, and 𝑐 ∈ S: (𝑎 · 𝑏) · 𝑐 = 𝑎 · (𝑏 ·
Higher-Order Functions Thumrongsak Kosiyatrakul Thumrongsak Kosiyatrakul Higher-Order Functions Higher-Order Function Every function in Haskell takes exactly one argument Consider the function max ghci> max 5 12 ghci> :t max max :: Ord a => a -> a -> a We usually think that the max function takes two arguments All functions that look like they
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User-Define Types and Type Classes 1 Thumrongsak Kosiyatrakul Thumrongsak Kosiyatrakul User-Define Types and Type Classes 1 User-Defined Types In the standard library, the Bool type is defined as follows: data Bool = False | True Use the data keyword to define a new typepause Bool is the type name and it must start with uppercase
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Lab 7: Karnaugh Maps Submission timestamps will be checked and enforced strictly by the CourseWeb; late submissions will not be accepted. Check the due date of this lab on the CourseWeb. Remember that, per the course syllabus, if you are not marked by your recitation instructor as having attended a recitation, your score will be
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