Homework. Section 5.1 #m}. Hint: Think of this language 1. Design a context-free grammar for the...
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...
1. Give a context-free grammar for the set BAL of balanced strings of delimiters of three types (), and . For example, (OOis in BAL but [) is not. Give a nondeterministic pushdown automata that recognizes the set of strings in BAL as defined in problem 1 above. Acceptance should be by accept state. 2. Give a context free grammar for the language L where L-(a"b'am I n>-o and there exists k>-o such that m-2*ktn) 3. Give a nondeterministic pushdown...
Find a derivation tree in Example 5.1 ({S}, {a, b}, S, P), with productions The grammar G - aSa, bSb S is context-free. A typical derivation in this grammar is S aSa aa Saa aabSbaa aabbaa This, and similar derivations, make it clear that {a, b}'} L (G) wwR
formal language automata 1. (15p) Consider the Context-free grammar G defined by: S → 0A1A1A1A A0A1A a) Describe L(G). (5p) b) Convert G into a Pushdown Automaton (PDA). (10p)
For the language anbn+mcm, where m, n 0.. a) Create a context-free grammar that generates this language b) Create a pushdown automata that accepts this language.
consider the language L = { a^m b^n : m>2n}, give context free grammar and Nondeteministc pUSH DOWN AUTOMATON
Give a context-free grammar generating the following language over Σ = {0, 1}: {0n1m : m, n ≥ 0; n ≠ m; n ≠ 2m}
(15p) Consider the Context-free grammar G defined by:\(\mathrm{S} \rightarrow a S|b T b S| \varepsilon\)\(\mathrm{T} \rightarrow a T \mid \varepsilon\)a) Describe \(\mathrm{L}(\mathrm{G})\). (5p)b) Convert G into a Pushdown Automaton (PDA). (10p)
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
Write a context-free grammar that generates the same language as regular expression which is ab*|c+ (Describe the four components of context-free grammar which are start symbol(S), non-terminals(NT), terminals(T), and set of production rules(P))