(a) Exhibit a derivation of the string aaaa using the following phrase structured grammar: S → YZY Z → BZC | E ВС + Сав Ва — ав аС — Са BY → Y ҮС — Y (b) Find a match for the following instance of the Post Correspondence Problem (PCP): {一重平亚 aaa b а a bb

Q: 3. Consider the following Context free grammar G and apply the CYK algorithm to test for membership…

A: Grammar is taken as below S -> AA| AS | b A -> SA | AS | a CYK algorithm…

Q: that the following is context free by deriving the context free grammars ge {zcz* : z E {a, b}*}

A: CFG is known as context free grammar. It's used to make all possible patterns of string from the…

Q: 2. Convert the following context free grammar (CFG) to Chomsky normal form (CNF). S> XSX | aY X → Y…

A: S -> XSX | aY   ------eq(1)X -> Y | S      ------eq(2)Y ->b | ∈     -------eq(3) Step…

Q: 2. Convert the following context free grammar (CFG) to Chomsky normal form (CNF s> XSX | aY X > Y |S…

A: Introduction of CFG and CNF: In TOC(Theory of Automata), CFG(Context Free Grammar) is used to…

Q: Prove that the following grammar is ambiguous: → → + | →a | b|c

A: Actually, given information: <S> -> <A><A> -> <A> + <A> |…

Q: Please use --> to represent the arrow in production rules. Write each production rule in a new line.…

A: In below  figure shows the production rule:

Q: 1. Find a context free grammar that generates each of the following languages: 1. L= {0™1" | m = n}…

A: 1.  S →aSb| ϵ 2.  S → aaSb | ϵ

Q: | 4(b) Find a grammar for the following language: {a"bc" | m, n e N}

A: Find a grammar for the following language: {ambcn | m, n ∈ N}

Q: Construct the right linear grammar for the following R.E (aab*a

A: The, given grammer is: R.E (aab*ab)*.

Q: Consider the grammar, G: S-BSA|ASA|aAble A aAla B BaAlab Identify the nature of the grammar G based…

A: The given Grammar is, G: S→bSa|ASA|aAb|εA→aA|aB→BaA|ab The objective is to identify nature of the…

Q: Hello I need help in theoretical computer science Let G be a grammar with the start variable S that…

A: Hello I need help in theoretical computer science Let G be a grammar with the start variable S that…

Q: For each of the following CFGS, give a PDA that accepts the language generated by the grammar. (а) S…

A: First of all let us find out the strings generated by the given grammar.   S → а ABB | аААА → аВВ |a…

Q: 19. Consider the following grammar. S→ ASBC CB BC bB bb S → aBC aB ab Context bC bc cC → cc (a)…

A: According to our guidelines we solve first three sub parts:…

Q: Construct the right linear grammar for the following R.E (aab*ab)*

A: Overview : Formal definition of Right Linear GrammarsA right linear grammar is a 4-tuple <T, N,…

Q: Eliminate the unit production of the following grammar: S A| bb A BIb B Sa

A: First lets understand the unit productions: unit productions are following type of productions rules…

Q: 3. Give a context-free grammars that generates the following languages: (a) {w | w contains at least…

A: Context free grammar that generates: (a){w | contains at least three 1s} Ans: The context free…

Q: 1. Find a context free grammar that generates each of the following languages: 1. L= {0™1" | m = n}…

A:

Q: 3. Prove that the following grammar is ambiguous by drawing two different parse trees of the same…

A: Answer: Let the word is "aaabb"

Q: Construct a Chomsky normal form grammar for L(G) for the following cfg G: G= ({S,B}, {a,b,c,d},…

A: CFG is the Context Free Grammar that generates possible pattern of strings from the provided…

Q: Q. 16 Let G be the following grammar: S-XYfg X-XSm|e Y-XhS e Variables S, X and Y are non-terminals…

A: Introduction

Q: Find a regular grammar for each of the following regular expressions. a. a + b. b. a + bc. c. a +…

A: We need to find the regular grammar for the regular expression. This is the union of a and b.…

Q: Convert that following grammar to Chomsky Normal Form a. S → aX | Yb X → S | ^ Y → bY | b

A: Dear Student, In Chomsky normal form a non terminal must not be with a terminal and S symbol must…

Q: 1)Let G = (V, ∑, R, S) be a grammar with V = {S, H, Gm J}; ∑ = {h, g, j};     and the set of rules:…

A: Actually, given rules are:    S → H   H → h | hJG   G → Gg | Sg | HgJ   J → jH | HHJ| Jj

Q: 1. Give Context Free Grammar for the following languages L = {w\w € {a, b}*and w contains an equal…

A: This can be solved by making a grammar which allows to accept the string in any order but they…

Q: b) Construct the canonical collection of LR(0) items for the following grammar: E → z|EE +| EE *

A: In this question, we are given a grammar and asked for the canonical collection of LR(0) items.…

Q: Consider the grammar G ({S, X, Y, Z}, {a, b, c}, S, P), where: P= { S XYZ, XaX, X8, Y bY, Y E, ZcZ,…

A: Below is the answer to the above question. I hope this will be helpful for you...

Q: Prove that the following grammar is ambiguous: → → + [ → a | b | c

A: Given grammer is  <start> -> <A> <A> -> <A> + <A> | <id>…

Q: 1. Give context-free grammars to generate the following languages: (a) L1 = {vuvkw : u, v, w E {0,…

A: A context free grammar is in the form  CFG {N,T,P,S} where N- set of Non terminal symbols T- set of…

Q: 3. Convert the following recursive BNF grammar to EBNF without recursion: a. -> = -> + | *…

A: Given:

Q: Consider the following grammar S → abAB, A → baB|ε , B → BAa|A|ε Convert the grammar into Chomosky…

A: A context free grammar is in Chomsky normal form if its productions are in the form A → a or A → BC…

Q: Consider the following grammar: E→id |(E,) |E, + E, l-E, Write its semantic rules using SDT.

A: Introduction : Given , A grammarWe have to write its semantic rules using SDT.

Q: 1. Consider the regular grammar G given below: S → aS\aA[bB|X A → aA|bS B → bB|aS (a) Give a…

A: (b) Given : An infinte Language L is not a subset of L(G)   L = {wwR: w ∈/{a, b}*}. L is the set of…

Q: 4. Write a BNF grammar that describes an arbitrarily long string of the characters a, b, and c. The…

A:

Q: (3) Let E = {a, b}. Solve the following questions: (i) Given a regular expression r = (bb*a +…

A: From the given regular expression r, we have to design a NFA to accept the language L(r). Also find…

Q: Construct a DFA to accept the language generated by the following grammar. aA| e aAl bB|a bB| e A B…

A: The Answer is

Q: PROBLEM 6 Convert the following grammar in GNF S → AA |0 A SS | 1

A: Step 1 The answer for grammar in GNF is given in the below step

Q: Prove that the following is context free by deriving the context free grammars generating it: {zcz*…

A: Provided the solution for above given question with detailed step by step explanation as shown in…

Q: Prove that the following is context free by deriving the context free grammars generating it: {zcz*…

A: Given: To prove that the grammar is context free but before that let's first know about the CFG.…

Q: Prove that the following is context free by deriving the context free grammars generating it: {zcz*…

A: A free language program is a formal language program that is used to make all possible strings in a…

Q: Transform the following grammar to a grammar without left-recursive rules. S — A| В А — ААА | а | В…

A: Assume that the set of all A-productions has the form   A    A  |  A  |   ....A  |    |    |…

Q: Consider the grammar G = ({S, X, Y, Z}, {a, b, c}, S, P), where: P = { S→XYZ, X→aX, Y→ÞY, Y→E, Z→cZ,…

A: In rightmost derivation a string is replaced with the production rule from right to left

Q: Construct Context Free Grammars (CFGS) for each of the following languages. i. L1 = { a"b?n | i,…

A: We are given a language, L1= {anb2n| i,n>=0} which states that - number of b's in the string must…

Q: Consider the following grammar, →ab →blb →a la Find out any five sentences that are in the…

A: Given the grammar we have we have to write the five sentances of language generated.

Q: Consider the following grammar, →ab blb →a la Find out any five sentences that are in the…

A: The Answer is

Q: Construct an npda corresponding to the grammar S→aABB|aAA,A→aBB|b,B→bBB|A.

A: Firstly, we will convert the given grammar into GNFS → aABB|aAAA → aBB|bB → bBB|aBB|a

Q: 3. Consider the following grammar: a b b | b a | a Which of the following sentences are in…

A:

Q: 4. Write a regular expression (RE) to define the language of all strings that start with 'bb' and…

A: As per our guidelines, only 3 sub parts will be answered at a time. So, please repost the remaining…

Q: b. The phrase “The little cub saw the fine fat deer in the jungle". Make a tree by using context…

A: Introduction of NLP using CFG: In TOC(Theory of Automata), CFG(Context Free Grammar) uses a set of…

Q: Construct a PDA that accepts the language defined by the grammar S abSb | 2.

A: A pushdown automata for the given grammar

Q: Hello , I need help in Theoretical computer science Let L be the language that contains all…

A: Give a context-free grammar (CFG) for each of the following languages over the alphabet Σ = {a, b}:…