EBK CONCEPTS OF PROGRAMMING LANGUAGES
EBK CONCEPTS OF PROGRAMMING LANGUAGES
12th Edition
ISBN: 9780135102251
Author: Sebesta
Publisher: VST
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Chapter 4, Problem 6RQ

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State transition diagram:

A state diagram in simple words is a directed graph.

  • The nodes in the state diagram represent states and the edges represent an input symbol which can cause transition among states.
  • There can be exactly one start node and any number of end states (accepting states)...

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ƒ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.
Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.
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