Problem 4 [7pt] Write down a context free grammar for all strings with matching parentheses, such...
Define Context-free grammar Matching syntactic entities (e.g., parentheses, brackets, or braces) is an important aspect of many programming languages. Define a context-free grammar in BNF capable of generating only balanced strings of (nested or flat) matched parentheses. The empty string is not in this language. For instance, the strings (), ()(), (()), (()())(), and ((()())()) are sentences in this language, while the strings )(, )(), )()(, (()(), ())((, and ((()()) are not. Note that not all strings with the same...
Write a context-free grammar for the language where all strings are of even length and the first half of the string is all 0’s, but it must be an odd number of 0’s
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...
Construct context-free grammars that generate the given set of strings. If the grammar has more than one variable, we will ask to write a sentence describing what sets of strings expect each variable in the grammar to generate. For example, if the grammar was: I could say "C generates binary strings of length one, E generates (non-empty) even length binary strings, and O generates odd length binary strings." It is also fine to use a regular expression, rather than English,...
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;...
Write a Context-Free grammar in either one of the following way: 1. Use recursion method to define grammar inductively, 2. Use semantic meanning for non-terminals method For the following language: strings have equal numbers of 0 and 1. For example your language will accept following strings 01, 0101, 010101, 000111, 001011, but will reject 010, 00011, 001, 11000, ... . Also show that grammar you created is ambiguos or not by using parse tree approach
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) a. Write down an unambiguous grammar that generates the set of strings { s;, s;s, s;s;s;, . . . } b. Give a leftmost and rightmost derivation for the string s;s; using your grammar.
Consider the following context free grammar. Write an attribute grammar that specifies the calculation rules, i.e. how the value of E or T is calculated. There is no need to perform type checking. We assume all types are matched correctly. Please clearly specify the type of attribute(s) you introduce, i.e. synthesized, inherited, or intrinsic. E ::= E + T | T T ::= T * F | F F ::= NUM NUM ::= 1 | 2 | 3 | 4...
Automata Theory I've given my answer to 3d. Is it correct? If not, please correct it. Thanks 3. Context-free languages are useful for the definition of programming languages. For example, we have looked at grammars for defining Lisp and C. (a) Give a context-free language that is not regular, establishing the added power of CFL (b) What language is accepted by the following grammar: (c) Build a context-free grammar for the language (wb w-wR, k 0 a,by (d) Build a...