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Problem 5.7: Consider the grammars Describe the language of each of these grammars
4. Consider two grammars Gi and G2 over the alphabet (a, b], with respective start symbols E and I and specified by the respective sets of production rules below: EFab (a) Do the two grammars generate the same language? If they do, briefly argue why. If they do not, provide a counter-example, that is, a word generated by one, but not by the other (b) The grammar G2 is unnecessarily complicated. Write a grammar that generates the same language generated...
Problem 3. f10 points for each of the following context-free grammars, i)use set notation to define the language generated by the grammar, and ii) Show that it is ambiguous by drawing 2 different parse trees for a string. a) Grammar: S + SaSb Si S + Sja | SibT T + Tb Tac b) Grammar: S + 151 T T + 1X1 X X + 0X01
Problem 24.3. Describe in words the language accepted by each automaton, and also give a regular expression.
Formal Languages and Automata Theory
Q2. Give context-free grammars that generate the following language: { w є {0, 1} | w contains at least three 1's)
give context free grammer for this language
1. 35 Points] Give context-free grammars for the following languages: (c) wEfa, b, c}* : |w = 5na(w) +2n(w)}
Consider the following NFA: Informally describe the language accepted by the NFA. Convert the NFA into a DFA.
Theory of Computation - Push Down Automata (PDA) and Context
Free Grammars (CFG)
Problem 1. From a language description to a PDA Show state diagrams of PDAs for the following languages: a. The set of strings over the alphabet fa, b) with twice as many a's as b's. Hint: in class, we showed a PDA when the number of as is the same as the number of bs, based on the idea of a counter. + Can we use a...
Consider the following language on the alphabet Σ = (a L = {aaab, aab) Describe the languages below, using either the set notation or precise definitions in English: As whot does ea uk Answer
Problem 5.7 (Equivalence Relations from Partitions) In each of the following, list the elements of the equivalence relation whose set of equivalence classes are siven. Draw the relational digraph of the equivalence relation
Consider the NFA M given below: a) Informally describe the language accepted by M. b) Transform M into an equivalent DFA. 91 42 0 0 Go 43