Plan School of Computing and Information Systems COMP30026 Models of Computation Tutorial Week 4 26–28 August 2020 This is the last tutorial covering propositional logic. If you have time, do Exercise 34 and learn more about exclusive or normal form (XNF). Alternatively (or additionally), you may want to spend a bit of time on any […]
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The plan School of Computing and Information Systems COMP30026 Models of Computation Tutorial Week 11 21–23 October 2020 Try to get through all of this week’s exercises. Reminder 1: A good text on context-free languages is available under “Readings Online”. Reminder 2: Assignment 2 is due by the end of Week 11. The exercises 90.
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42. (a) The University of Melbourne School of Computing and Information Systems COMP30026 Models of Computation Selected Tutorial Solutions, Week 6 The two statements S1: “No politician is honest.” become F1 : ∀x (¬P (x) ∨ ¬H(x)) S2: “Some politicians are not honest.” F2 : ∃x (P (x) ∧ ¬H(x)) (b) F1 ⇒ F2 is
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11/9/2020 Grok | COMP30026 Practice Exam Queson 9 (6 marks) Queson 9 (6 marks) Construct a Turing machine (over alphabet ) which will decide the language consisng of all strings of length 4 or greater, having as their fourth last symbol. More formally, For example, abba and bbaaab are in , but baba and aaa
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11/9/2020 Grok | COMP30026 Practice Exam Queson 5 Part B (4 marks) Queson 5 Part B (4 marks) Construct a DFA which recognises the language of the regular expression Make sure your automaton is complete and determinisc. It does not need to be minimal. Instrucons GiveyouranswerasaHaskellexpressiondfa5B :: DFA. Format The Haskell type DFA is
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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 8 Part B (3 marks) Queson 8 Part B (3 marks) Below are eight regular expressions. 1. 2. 3. 4. 5. 6. 7. 8. Two regular expressions are equivalent iff they denote the same language. Your task is to determine the equivalence classes for these eight expressions. That
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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 A (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 A (1 mark) Let be the language of
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