Showing posts with label THEORY OF COMPUTATION. Show all posts
Showing posts with label THEORY OF COMPUTATION. Show all posts

The number of states in the minimum sized DFA that accepts the language defined by the regular expression [G16S2Q26]





Explanation

Language L1 is defined by the grammar: [G16S2Q27]





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Consider the following types of languages: L1 : Regular, L2 : Context-free, L3 : Recursive, L4 : Recursively enumerable. Which of the following is/are TRUE? [G16S2Q28]





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Consider the following two statements: [G16S2Q52]





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Consider the following languages: [G16S2Q53]





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Consider the following languages [G16S2Q54]





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Which one of the following grammars is free from left recursion? [G16S2Q55]





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A student wrote two context-free grammars G1 and G2 for generating a single C-like array declaration. The dimension of the array is at least one. For example, [G16S2Q56]





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Which of the following languages is generated by the given grammar? [G16S1Q26]





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Which of the following decision problems are undecidable? [G16S1Q27]





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Which one of the following regular expressions represents the language: the set of all binary strings having two consecutive 0s and two consecutive 1s? [G16S1Q28]





Explanation

Consider the following context-free grammars: [G16S1Q52]





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Consider the transition diagram of a PDA given below with input alphabet Σ = {a,b} and stack alphabet Γ = {X,Z}. Z is the initial stack symbol. Let L denote the language accepted by the PDA. [G16S1Q53]





Explanation

Let X be a recursive language and Y be a recursively enumerable but not recursive language. Let W and Z be two languages such that Y reduces to W, and Z reduces to X (reduction means the standard many-one reduction). Which one of the following statements is TRUE? [G16S1Q54]





Explanation

Consider the following Syntax Directed Translation Scheme (SDTS), with non-terminals {S, A} and terminals {a, b}. [G16S1Q56]





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Let L1, L2 be any two context-free languages and R be any regular language. Then which of the following is/are CORRECT? [G17S2Q4]




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Identity the language generated by the following grammar, where S is the start variable. [G17S2Q16]




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The minimum possible number of states of a deterministic finite automaton that accepts the regular langauge L [G17S2Q25]




Explanation

Consider the following expression grammar G: [G17S2Q32]




Explanation

Let delta denote the transition function and delta cap denote the extended transition function of the [G17S2Q39]




Explanation