Homework Answers
The regular expression for the language of strings accepted by this finite state machine is:
a*(a + b + (cc)*c + (cc)*b)b*
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Consider the following automaton: Give a regular expression for the language of the machine.
Problem 24.3. Describe in words the language accepted by each automaton, and also give a regular...
Problem 24.3. Describe in words the language accepted by each automaton, and also give a regular expression.
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it. 10. Consider the following CFG: Is the l...
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it.
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it.
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that arc pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
(4 points.) Consider the regular expression (11 + 00)'1(e + 01). . Give two strings of O's and 1's, each 6 to 12 characters long, that are both represented by this regular expression...
(4 points.) Consider the regular expression (11 + 00)'1(e + 01). . Give two strings of O's and 1's, each 6 to 12 characters long, that are both represented by this regular expression . Construct a nondeterministic finite automaton equivalent to the regular expression.
(4 points.) Consider the regular expression (11 + 00)'1(e + 01). . Give two strings of O's and 1's, each 6 to 12 characters long, that are both represented by this regular expression . Construct a...
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the...
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...
Which of the following is a method for showing that a language L is not regular?...
Which of the following is a method for showing that a language L is not regular? a) Constructing a finite state automaton recognizing L b) Showing that the opponent can always win the regular expression game for L. c) Showing that the relation L has infinitely many equivalence classes. d) Constructing a push-down automaton recognizing L
Find regular expression for the language accepted by the following automata. Find regular expression for the...
Find regular expression for the language accepted by the
following automata.
Find regular expression for the language accepted by the following automata. gl a b q2 q0
Construct a deterministic finite automaton accepting all and only strings in the language represented by the...
Construct a deterministic finite automaton accepting all and only strings in the language represented by the following regular expression: ((aa ∪ bb)c)*
find the set notation for the following regular expression: L(aa*(ab+a)*). build its corresponding automaton. find a...
find the set notation for the following regular expression: L(aa*(ab+a)*). build its corresponding automaton. find a regular grammar for it.
Problem 24.3. Describe in words the language accepted by each automaton, and also give a regular expression.
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it.
10. Consider the following CFG: Is the language generated by this CFG a regular language? If so, give a regular expression denoting it. If not, prove it.
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that arc pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
(4 points.) Consider the regular expression (11 + 00)'1(e + 01). . Give two strings of O's and 1's, each 6 to 12 characters long, that are both represented by this regular expression . Construct a nondeterministic finite automaton equivalent to the regular expression.
(4 points.) Consider the regular expression (11 + 00)'1(e + 01). . Give two strings of O's and 1's, each 6 to 12 characters long, that are both represented by this regular expression . Construct a...
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...
Which of the following is a method for showing that a language L is not regular? a) Constructing a finite state automaton recognizing L b) Showing that the opponent can always win the regular expression game for L. c) Showing that the relation L has infinitely many equivalence classes. d) Constructing a push-down automaton recognizing L
Find regular expression for the language accepted by the
following automata.
Find regular expression for the language accepted by the following automata. gl a b q2 q0
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