Construct a PDA that matches all strings in the language over {x,y} such that each string begins and ends with the same symbol. Submit Below, give a short description of the set of strings associated with each state of your PDA ?
Answer-
Given:-

SO the steps are:-
Now accept it if string is read completely and first and last letters match.
Construct a PDA that matches all strings in the language over {x,y} such that each string...
Construct a PDA that matches all strings in the language over {a,b,c,d} such that each occurrence of the substring ab is eventually followed by a distinct occurrence of a substring cd (e.g.,abcdabcd and abababadcacdcdcdcd are acceptable, but cdab and ababdddcd are not). Give a short description of the set of strings associated with each state of your PDA.
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...
Give regular expressions for the following languages: (a) The language of all strings over {a,b} except the empty string. (b) The language of all strings over {a,b} that contain both bab and bba as substrings. (c)L k = {w ∈ {a,b} * | w contains a substring having 3 more b’s than a’s}. (d) The language of all strings over {a,b} that have a b in every odd position (first symbol is considered position 1; empty string should be accepted)...
Submit a DFA whose language is the set of strings over {a, b} of odd length in which every symbol is the same.
Give a PDA (Pushdown Automata) that recognizes the language L = {σ ∈ {x, y, z} ∗ | 2|σ|x = |σ|y ∨ 2|σ|y = |σ|z} You can choose whether your PDA accepts by empty stack or final state, but make sure you clearly note, which acceptance is assumed.
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.
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 contain two or three symbols.
(20) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. 5. There are exactly as many a's as b's. Construct a context-free grammar generating L. You do not need an inductive proof, but you should...
Construct a deterministic finite automaton accepting all and only strings in the language represented by the following regular expression: ((a U c)(b U c))* U = symbol for union in set theory
Give a DFA over {a,b} that accepts all strings containing a total of exactly 4 'a's (and any number of 'b's). For each state in your automaton, give a brief description of the strings associated with that state.