b. Design a BNF grammar that recognizes lists of the form A1, A2, A3, An where A is in {a,b,c} and i is a digit. The following list is recognized: a1, b2, c5, a2. The elements of a list are separated by, followed by a space. Grammar
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- A) Write a BNF grammar for the language consisting of strings built only of the letters a and b. The strings may have any number of these letters, but the letter combinations bb must be in each string somewhere, and each string must start with a aa. For example, the strings aaabbabbba, aaaababba, and aababbabb are in the language, while a, bba, ababb, aabaa, and bbaa are not. B) Draw the parse tree for string aabbaaba according to the previous grammar: C) Describe, in complete English sentences and “layman’s terms,” the language defined by the following grammar in BNF (start symbol is <S>):<S> ::= <A>a | <B>b<C> ::= c<A> ::= a<A>a | <C><B> ::= b<B>b | <C>a. Write a BNF grammar for the language consisting of strings built only of the letters a and b. The strings may have any number of these letters, but the letter combinations bb must be in each string somewhere, and each string must start with a aa. For example, the strings aaabbabbba, aaaababba, and aababbabb are in the language, while a, bba, ababb, aabaa, and bbaa are not. b. Draw the parse tree for string aabbaaba according to the previous grammar: c. Describe, in complete English sentences and “layman’s terms,” the language defined by the following grammar in BNF (start symbol is <S> ): <S>::= <A>a|<B>b <C>::= c <A>::= a<A>a|<C> <B>::= b<B>b|<C>14. Write a BNF grammar that describes an arbitrarily long string of the characters a, b, and c. The string can contain any number of occurrences of these three letters (including none) in any order. The strings "empty", a, accaa, abcabccba, and bbbbb are all valid members of this language.
- "Introduction to Formal Languages and Automaton" by Peter Linz, 6th edition, 2017. The cut is from chapter 1, section 2, e 14.1. Use the algorithm described in class that takes a CFG and converts it into a CNF (Chomsky Normal Form) grammar that generates the same language as the original grammar, except possibly for the string A, to answer the following question. As part of your answer, you should say which variables are nullable, and you should give the appropriate grammar after each step of the algorithm. There are four steps. Give a CFG (context-free grammar) in CNF (Chomsky Normal Form) that generates the same language, except possibly for the string A, as the following grammar: SAB AB →bAa A → aaB bba. Design a BNF grammar that recognizes expressions of the form Ai where A is in {a,b,c} and i is a digit. The following expressions are recognized: a1, b2, c5. The following expressions are not recognized: a10, d3, aa1. BNF grammar
- Chomsky Normal Form: Most useful grammars can be translated into a nor-mal form making answers to questions about the language more transparent.1.Eliminate left recursion from the production rules that are given in below. E = E + T / T 2.Define context-free grammar. 3.Write down the characteristic of context-free grammar.What you need to do:1. Type that code up and run it to make sure that it is doing what it is supposed to do. Provide the strings in the header of the program when prompted.2. Use the logic in that program to design your own Recursive Descent parser in C for the following grammar:S →aABA →Abc | bB →d3. Make sure that you choose at least two strings that pass the grammar and one string that does not pass the grammar just like I did in the model program4. Submit both the code and a screen shot of your results for the choice of strings that you provided. Below is the C code that can be used to implement a Recursive Descent parser for the above grammar/* Recursive Descent Parser for the Expression Grammar:S → (L) |aL' →,SL'|εL → SL'Valid inputs: (a,(a,a)) and (a,((a,a),(a,a)))Invalid inputs:(aa,a)*/#include <stdio.h>#include <string.h>int S(), Ldash(), L();char *ip;char string[50];int main() {printf("Enter the string\n");scanf("%s", string);ip =…
- Select all the correct statements about lists in Prolog Select one or more: a. [] is the empty list b. [a,b,c] can be represented as [H|T] where H is unified to a and T is unified to [b,c] c. [a,b,c] can be represented as [H|T] where H is unified to [a] and T is unified to [b,c] d. [[a,b,c],[a,d],d] can be represented as [H|T] where H is unified to a and T is unified to [[b,c],[a,d],d] e. [[a,b,c],[a,d],d] can be represented as [H|T] where H is unified to a and T is unified to [[b,c,a,d],d]1. (a) Write the prefix form for the expression a *- ( b + c ) (b) Write an SDD for the following grammar, which converts infix expressions to prefix expressions. E -> E + T | T T -> T * F | F F -> id | (E) 2. Write the quadruples, triples, and indirect triples for the following expression - (a+b)*(c+d) - (a+b+c)Describe, in English, the language defined by the following grammar in BNF (start symbol is ):