For each of the languages listed below, give a regular expression that generates the lan- guage....
disprove that the given lan 4. [20 Points For each of the following languages, prove or guage is regular (a) L1www e {a,b}*} {w w E {a, b}* and no two b's in w have odd number of a's in between}. (b) L2 (c) L3 a" (d) L4 vw n = 3k, for k > 0}. a, b}*} disprove that the given lan 4. [20 Points For each of the following languages, prove or guage is regular (a) L1www e...
Regular expressions, DFA, NFA, grammars, languages Regular Languages 4 4 1. Write English descriptions for the languages generated by the following regular expressions: (a) (01... 9|A|B|C|D|E|F)+(2X) (b) (ab)*(a|ble) 2. Write regular expressions for each of the following. (a) All strings of lowercase letters that begin and end in a. (b) All strings of digits that contain no leading zeros. (c) All strings of digits that represent even numbers. (d) Strings over the alphabet {a,b,c} with an even number of a's....
3) Construct a regular expression defining each of the following languages over the alphabet {a, b}. (a) L = {aab, ba, bb, baab}; (b) The language of all strings containing exactly two b's. (c) The language of all strings containing at least one a and at least one b. (d) The language of all strings that do not end with ba. (e) The language of all strings that do not containing the substring bb. (f) The language of all strings...
Please help me with this... Give a regular grammar that generates the described language. The set of strings of odd length over {a, b} that contain exactly two b's.
4. A regular expression for the language over the alphabet fa, b) with each string having an even number of a's is (b*ab*ab*)*b*. Use this result to find regular expressions for the following languages a language over the same alphabet but with each string having odd number of a's. (3 points) a. b. a language over the same alphabet but with each string having 4n (n >- 0) a's. (3 points)
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
8 Find CFGs that for these regular languages over the alphabet a, b. Draw a Finite Automata first and use this to create the CFG (a) The language of all words that consist only of double letters (aa or bb) (b) The set of all words that begin with the letter b and contains an odd number of a's or begin with the letter a and contains an even number of b's.
Automata Theory - Finding a regular expression for each of the following languages over {a,b} or {0,1}: I've written the solution . Please show steps on how to approach the problems that I mentioned in parentheses. The ones where I put my own regular expression check and see if it's still right. Thanks Strings with .... odd # of a's ---> (b*ab*ab*)b*ab* even # of 1's ---> 0*(10*10*)* ---> my answer was 0*10*10* (is this still right?) start & end...
Provide a regular expression for the following languages: (a) the set of all strings over {a, b} that start with ab and end with ba, (b) the set of strings over {a, b} where four consecutive occurrences of both letters occur in every word.
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...