313W04M - CPSC 313 — Midterm Test Name Lecture Section...

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Unformatted text preview: CPSC 313 — Midterm Test February 26, 2004 Name: Lecture Section: Lab Section: Please DO NOT write your ID number on this page. Instructions: Answer all multiple choice questions in part A on the score card using pencil . Answer all questions in part B in the space provided. No Aids Allowed. This test is out of 25. Duration: 90 minutes ID Number: Section Question Score Possible score A 1-6 9 B 1 10 2 6 Total: 25 Total: 1 ID Number: Part A - Multiple Choice Answer all multiple choice questions on the score card using pencil . Each question is worth 1.5 marks. 1. Let L 1 = { w ∈ { a, b } * | w has the same number of a ’s and b ’s } . Which of the following statements is true? (a) Since L ( a * b * ) is a regular language and since L 1 ⊆ L ( a * b * ), L 1 is regular by the closure properties of regular languages. (b) L 1 is not a regular languages since, after fruitlessly trying for several hours to create a FA that would accept L 1 , I have come to the conclusion that no such FA exists. Therefore L 1 is not a regular language. (c) L 1 is a regular language since the following DFA accepts L 1 . q Start 1 q 5 q 2 q 4 q 3 q a b a b a a b b a b a,b (d) L 1 is not a regular language, which can be shown using the pumping lemma and choosing w = a n b n and i = 2. 2. Let M 2 = ( Q, Σ , δ, q , F ) be some epsilon non-deterministic finite automaton. Choose the most correct statement below....
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This note was uploaded on 10/19/2008 for the course CPSC 313 taught by Professor Na during the Spring '08 term at University of Calgary.

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313W04M - CPSC 313 — Midterm Test Name Lecture Section...

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