11/9/2020 Grok | COMP30026 Practice Exam Queson 8 Part A (2 marks) Queson 8 Part A (2 marks) We define the generalised union operator, , and the generalised intersecon operator, , as follows. For any set of sets , an object is an element of exactly when it is an element of some set in […]
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3. The University of Melbourne School of Computing and Information Systems COMP30026 Models of Computation Sample Answers to Tutorial Exercises, Week 1 We need to move from the lower left corner to the upper right. It does not really matter whether we are moving between grid points or we move from square to square—the two
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11/9/2020 Grok | COMP30026 Practice Exam Queson 4 Part C (3 marks) Queson 4 Part C (3 marks) Using constants for “Garfield” and for “Harold”, we can express various statements about cats, mice and men in clausal form, as follows: Garfield is a cat who likes pasta dishes: 1. 2. Garfield is a friend of
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(c) (d) (A ∨ B) ⇒ (C ∧ D) ¬(A∨B)∨(C ∧D) (¬A∧¬B)∨(C ∧D) (¬A ∨ (C ∧ D)) ∧ (¬B ∨ (C ∧ D)) (¬A∨C)∧(¬A∨D)∧(¬B∨C)∧(¬B∨D) (distribute∧over∨) The University of Melbourne School of Computing and Information Systems COMP30026 Models of Computation Sample Answers to Tutorial Exercises, Week 3 (push negation in) (distribute ∨ over ∧) KE
11/9/2020 Grok | COMP30026 Practice Exam Queson 8 Part C (3 marks) Queson 8 Part C (3 marks) Give an example of two finite languages, and , over alphabet , for which . Instrucons Expressyouranswerwithtwolistsofstrings,languageL :: [String]andlanguageM :: [String]. Format: To represent a finite language as a Haskell expression of type [String], include each
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11/9/2020 Grok | COMP30026 Practice Exam Queson 7 Queson 7 Part B (1 mark) Recall the reverse operaon on languages (over alphabet ) defined as follows: In words, is the language of all strings appearing backwards in . As an example, if is then is . Part B (1 mark) Let be the language of
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School of Computing and Information Systems COMP30026 Models of Computation Tutorial Week 9 30 September to 2 October 2020 The exercises 73. Give regular expressions for the following languages over the alphabet Σ = {0, 1}. (a) {w|wbeginswitha1andendswitha0} (b) {w | w contains the substring 0101} (so w = x0101y for some strings x and
11/9/2020 Grok | COMP30026 Practice Exam Queson 7 Queson 7 Part C (6 mark) Recall the reverse operaon on languages (over alphabet ), defined as follows: In words, is the language of all strings appearing backwards in . As an example, if is then is . Part C (6 marks) In Assessed Worksheet 4, you
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11/9/2020 Grok | COMP30026 Practice Exam Queson 6 Queson 6 Part C (3 marks) We define the simplicity of a regular expression as the total number of occurrences of concatenaons, unions, Kleene stars, alphabet symbols, empty string symbols, and empty set symbols in the regular expression. The simplest regular expression for a regular language is
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The University of Melbourne School of Computing and Information Systems COMP30026 Models of Computation Selected Tutorial Solutions, Week 9 73. (a) {w|wbeginswitha1andendswitha0}: 1(0∪1)∗0 (b) {w | w contains the substring 0101}: (0 ∪ 1)∗0101(0 ∪ 1)∗ 74. (c) {w|whaslengthatleast3anditsthirdsymbolis0}: (0∪1)(0∪1)0(0∪1)∗ (d) {w|thelengthofwisatmost5}: (ε∪0∪1)(ε∪0∪1)(ε∪0∪1)(ε∪0∪1)(ε∪0∪1) (e) {w | w is any string except 11 and 111}: ε
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