Concept explainers
Describe an
CONTEXT FREE GRAMMAR:-
A context-free grammar is a set of rules that define how to form strings in a language. It consists of a set of terminal symbols, which are the characters that appear in the strings of the language, and a set of nonterminal symbols, which are placeholders for patterns of characters. The rules specify how to replace each nonterminal symbol with a string of terminal symbols.
For example, the following context-free grammar defines the language of all strings that consist of a sequence of zero or more a's followed by a sequence of zero or more b's:
Terminals: a, b
Nonterminals: S
Rules:
S → ε
S → aS
S → bS
S → ab
Step by stepSolved in 2 steps
- Find grammars for Σ = {a, b} that generate the sets of: a) all strings with exactly one a b) all strings with at least three a’s.arrow_forwardAssumptions ... Alphabet = {a, b} • L1 = { a"b" : n ≥ 0 ^ n mod 3 = 0} L2 = {anbm : n ≥ 0 ^ m ≥ 0 ^ n = m −1} To do in this exercise ... ⚫ Find a context-free grammar G such that L(G) = L1 L2, the concatenation of languages L1 and L2. ⚫ Save your context-free grammar as a JFLAP.jff file, and submit that .jff file to Canvas as your solution to th is exercise.arrow_forwardGive a context free grammar G accepting the same language as FSA A of question 1, question 1 shown in the pjotograph .arrow_forward
- The Context Free Grammar below is given: G=( {S,a,b}, {0,1}, S, {S⇒0b|1a, a→0|0s|1aa|ɛ, b→1|1s|Obb}) Which string(s) could belong to the language generated by this grammar? 101110111 ☐ 10010100 0100101110 0000100001arrow_forwardGive an unambiguous grammar that generates the set of all regular expressions on E = {a,b}.arrow_forwardGive a context free grammar for the set L={a^n b^m | n=m or 2n=m where n, m ≥ 0}.arrow_forward
- Consider the context-free grammar S- A$ A→ aAa | B B → bbB | A In each of the following questions list your set in alphabetical order with $ at the end of the list if it's included. Separate items using commas and no spaces. For example: x,y,$. If a set is empty write "empty". What is in First(S)? { What is in First(A)? { } What is in First(B)? { } What is in Follow(S)? { What is in Follow(A)? { } What is in Follow(B)? { }arrow_forwardPlease give unique answer and do not copy paste from chegg! thank youarrow_forwardComputer Science Consider the following two grammars with alphabet a and b i. (b*ab*a)*b* ii. (b*ab*a)*b*(b*ab*a)*b* Are there any strings are generated by one of the grammars and cannot be generated by the other? If there are more than one such string, how do you describe them.arrow_forward
- Given a grammar of the form: -> | > 0 | 1 | 2 1...19 where ! means negation (i.e., !3 means -3, !7 means -7 and so on). - | + 1. Derive the string !!9+4-12 and evaluate it arithmetically (assume standard arithmetic mean- ings for all terminals while evaluating). 2. State whether it is ambiguous or unambiguous. If it is ambiguous give an equivalent unam- biguous grammar. If it is unambiguous, states all the precedences and associativities enforced by the grammar.arrow_forwardLet BLOOP be the language of strings of even length over the alphabet {a,b} in which the two middle letters are different to every other letter in the string. Give a Context-Free Grammar for the language BLOOP. Paragraph BI Path: p !!!arrow_forwardGiven a regular grammar G and a list of strings, identify the strings that are in L(G).arrow_forward
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education