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Construct a DFSA that recognizes the set of bit strings consisting of a 0 followed by...
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consisting of the set of all bit strings that start with 00 or end with 101 (or both). Syntax The union is expressed as R|R, star as R*, plus as R+, concatenation as RR. Epsilon is not supported but you can write R? for the regex (R|epsilon).
For ∑ = {a, b}, construct a dfa that accepts the set consisting of all strings with exactly one a
For ∑ = {a, b}, construct a dfa that accepts the set consisting of all strings with at least one b and exactly two a’s
Find a finite automata that recognizes the language composed a set of strings containing one or more zeros followed by an equal number of ones? Justify your answer.
Construct an DFA automaton that recognizes the following language of strings over the alphabet {a,b}: the set of all strings over alphabet {a,b} that contain aa, but do not contain aba.
1. Use a Regular Expression to define the set of all bit strings of one or more 0's followed by only a 1. 2. Use a Regular Expression to define the set of all bit string of two or more symbols followed by three or more 0's. 3. Are these two grammars the same? a. S-> aSb|ab|λ b. S-> aAb|ab A->aAb|λ 4. Use the process of elimination to find the language of the following FA: (see picture for diagram) 5....
For each of the following, construct context-free grammars that generate the given set of strings. If your grammar has more than one variable, we will ask you to write a sentence describing what sets of strings you expect each variable in your grammar to generate. For example, if your grammar were: S → EO E → EE CC 0+ EC C+01 We would expect you to say “E generates (non-empty) even length binary strings; O generates odd length binary strings;...
Theoretical Foundation of Computer Science. Is this a regular language: a set consisting of strings x such that x is of prime length or x is of odd length. Prove your answer.
Let A be the set of all bit strings of length 10. 1. How many bit strings of length 10 are there? How many bit strings of length 10 begin with 1101? How many bit strings of length 10 have exactly six 0's? How many bit strings of length 10 have equal numbers of O's and 1's? How many bit strings of length 10 have more O's than 1's? a. b. c. d. e.
4. Construct a finite-state machine that changes every other bit, starting with the second bit, of an input string, and leaves the other bits unchanged. (Show as a diagram.) 5. Construct a finite-state machine that accepts bit strings that contain at least 3 consecutive 1's. 6. Construct a finite-state machine that accepts bit strings that do not contain any 3 consecutive l's 4. Construct a finite-state machine that changes every other bit, starting with the second bit, of an input...