Let Azfa"b"c" I n 0 }. Answer each of the following question: 1. 2. 3. 4....
I need 7 - 10. Ignore others please! 1. (10 points) True/False. Briefly justify your answer for each statement. 1) Any subset of a decidable set is decidable 2) Any subset of a regular language is decidable 3) Any regular language is decidable 4) Any decidable set is context-free 5) There is a recognizable but not decidable language 6) Recognizable sets are closed under complement. 7) Decidable sets are closed under complement. 8) Recognizable sets are closed under union 9)...
Give examples of the following sets (languages): a. A set (language) that is Turing-recognizable but not decidable b. A set (language) that is decidable but not context-free c. A set (language) that is context-free but not regular
Only 5-9 please 1. (10 points) True/False. Briefly justify your answer for each statement. 1) Any subset of a decidable set is decidable 2) Any subset of a regular language is decidable 3) Any regular language is decidable 4) Any decidable set is context-free 5) There is a recognizable but not decidable language 6) Recognizable sets are closed under complement. 7) Decidable sets are closed under complement. 8) Recognizable sets are closed under union 9) Decidable sets are closed under...
(6 pts-2 pts each) Let L be a language such that L Sm Any and Ay Sm L. Justify your answers to the following questions: 3. TM a) Is L decidable? b) Is L Turing-recognizable? c) Is L Turing-recognizable? (6 pts-2 pts each) Let L be a language such that L Sm Any and Ay Sm L. Justify your answers to the following questions: 3. TM a) Is L decidable? b) Is L Turing-recognizable? c) Is L Turing-recognizable?
(6 pts- 2 pts each) Let L be a language such that L Sm A your answers to the following questions: and AM Sm L. Justify a) Is L decidable? b) Is L Turing-recognizable? c) Is L Turing-recognizable? (6 pts- 2 pts each) Let L be a language such that L Sm A your answers to the following questions: and AM Sm L. Justify a) Is L decidable? b) Is L Turing-recognizable? c) Is L Turing-recognizable?
1. Let n be a positive integer. Classify the languages (i) R = {(M)IM is a TM and L(M) contains exactly n strings) (ii) S- (M)|M is a TM and L(M) contains more than n strings as (a) decidable, (b) Turing-recognizable but not co-Turing-recognizable, (c) co-Turing-recognizable but not Turing-recognizable, (d) neither Turing-recognizable nor co-Turing-recognizable. Justify your answers.
Determining whether languages are finite, regular, context free, or recursive 1. (Each part is worth 2 points) Fill in the blanks with one of the following (some choices might not be used): a) finite b) regular but not finite d) context-free but not deterministic context-free e) recursive (that is, decidable) but not context-free f) recursively enumerable (that is, partially decidable) but not recursive g) not recursively enumerable Recall that if M is a Turing machine then "M" (also written as...
2. Properties of the following: (a) Regular languages (b) Context-free languages (c) Regular expressions (d) Non-deterministic finite automaton (e) Turing-recognizable and Turing-decidable languages (f) A <m B and what we can then determine (g) A <p B and what we can then determine (h) NP-hard and NP-complete.
Please also note that there might be multiple answers for each question. Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable languages are closed under union and intersection The class of undecidable languages contains the class of recognizable languages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all...
Quick Quiz Is the following true? 1. If L is Turing-decidable, L is Turing- recognizable If L is Turing-recognizable, L is Turing- decidable 2. 3. If L is Turing-decidable, so is t 4. If L is Turing-recognizable, so is L 5. If both L and L are Turing-recognizable, L is Turing-decidable