Simplification of context-free grammars Eliminate all l-productions from S -> ABCd A -> BC B ->bB | λ C -> λ Eliminate all unit-productions from S -> ABa | B A -> aA | a |B B -> b | bB | A Eliminate all useless productions from S -> AB | a A -> BC | b B -> aB | C C -> aC | BB

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

A: Given: We have to prove that the following expression exhibits context-free property by making a…

Q: Q5: Using Geibatch Form convert the following CFG to NPDA (Context Free Grammar to Non Deterministic…

A: Here is the conversion of the CFGs to NPDAs using Greibach form:The NPDA (Non-Deterministic…

Q: Given the grammar bellow, show a leftmost derivation and a rightmost derivation for each of the…

A: Given Grammar:   <assign> → <id> = <expr> <id> → A | B | C <expr> →…

Q: 5 The production rules for a grammar G with start symbol S, terminals a, b, and c and non-terminals…

A: Here, we are going to generate the string bacab using given grammar G and also check whether the…

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: Show that the following context free grammar is ambiguous: S→ XbY | YbX XaXa | b YbYb | a

A:

Q: Question 6 Let G be a grammar with the following production rules: bcs | Ad Ab S -> as A -> aB В ->…

A: The language generated from the given grammar

Q: Given a regular grammar G and a list of strings, identify the strings that are in L(G).

A: The given grammar G is:S -> aT T -> bT | a | aW W -> ε | aT aT T -> bT | a | aW W ->…

Q: Convert the grammars given below to a new grammar with less rules 4a) * SaaA | B |C AaB |ɛ B →Aa…

A: According to the information given:- We have to choose the correct option to satisfy the statement.

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: ing grammar is a LL(1) grammar

A: A shift-reduce conflict occurs in a state that requests both a shift action and a reduce action. A…

Q: Given the following context-free grammar: S -> AbB | bbB A -> aA | aa B -> bbB | b a) Convert the…

A: In formal language theory, context-free grammars are widely used to describe the syntax of…

Q: Construct a dfa that accepts the language generated by the grammar on E={a, b} s> bS | aA A > bA |…

A: Before we can construct a DFA, we need to observe that the given grammar produces. Note, initially…

Q: 3. Forma Let us consider the following Context Free Grammar G = ({S, A, B, C, D, E}, {a,b,c}, S, P)…

A: Answer

Q: Construct a dfa that accepts the language generated by the grammar S-> abs | A, A -> baB, B -> aA |…

A:

Q: Consider the following grammar and perform required tasks; S -> aA | abS A -> BB | CAC B -> bB |…

A: The Answer start from step-2.

Q: a,Z ->aZ |а,а ->empty a,b->a A1 |а, а->empty a,b ba S empty,Z->empty |A3 A2 Z,empty->empty а,а->аа

A: Answer: This question from Theory of computation. and here we have solved question in handwritten…

Q: Construct a pda that accepts the language defined by the grammar • S --> aA | λ • A --> bSB • B -->…

A: Answer

Q: 8-Write a denotational semantics for the following BNF → | | → → | | → + * 1.

A: In this expr variable has an undefined value. Assume Z be the sets of integers and error value to…

Q: 3. Prove that the following grammar is ambiguous (show 2 trees): → → + | → a | b | c

A: Defined the given grammar is ambiguous

Q: Given the context-free grammar and w = abab S -> aAB A -> bBb | aB B-> A | λ a) Show the leftmost…

A: context-free grammar and w = ababS -> aABA -> bBb | aBB-> A | λ

Q: i) For the CFG G below, describe L(G): S → EaS | EE → aEb | bEa | EE | λ ii) For the CFG G below,…

A: (G):C generates strings consisting of zero or more b followed by an equal number of cs (balanced b…

Q: Answer following automata and computation question

A: Step 1: A "Right Linear Grammar" is a type of grammar in formal language theory where all…

Q: Transform the grammar with productions Chomsky normal form. S→ abAB A → baB|X B→BAA|A|A into

A: Please refer to the following step for the complete solution to the problem above.

Q: 9. (ii)Design a DFA that accepts the language generated by the following grammar. Find a. for the…

A: Given grammar is, S->abA A->baB B->aA | bb Set of variables= {S, A, B} and the set of…

Q: QUESTION 3 3. Formal Grammars Let us consider the following Context Free Grammar with production…

A:

Q: A Grammar for a Simple Assignment Statements GIVEN: → = → A | B | C → + | * | () |…

A: A grammar is said to be ambiguous if there exists a string which can be derived in more than one way…

Q: Design a PDA that accepts the language{0m 1n 2n 3m| n ≥ 1, m ≥ 1}, Give context-free grammar that…

A: Here first design a pushdown automaton (PDA) that accepts the language {0^m 1^n 2^n 3^m | n ≥ 1, m…

Q: Question 16 The given context-free grammar is ambiguous or unambiguous? Write a sentence to support…

A: Yes the given context free grammar is ambiguous as there exist more than one parse tree for the…

Q: Construct CFG from the following productions of Context Free Grammar (CFG) S - aSbb | abb

A: Context Free Grammar: A grammar contain a context free grammar then it must be a context free…

Q: Consider the following context free grammar: S-A A → BC|DBC B → Bb|e C→|E D → a|d Find the number of…

A:

Q: the following grammar. S→AAja ASA|b.

A: The Answer is

Q: Construct syntax directed definition for the following grammar by using in nerited attributes

A: The Answer is

Q: Let M be an NFA with start state labeled S. M Consider the following context-free grammars. G1: S ->…

A: Grammar for NFA M: Gm: production rules : S->1A|1C   //using transitions from State S A->0A|1B…

Q: Context Free Grammar State whether it is ambiguous or unambiguous. If it is ambiguous give an…

A: The grammar provided is ambiguous. This ambiguity arises due to the lack of precedence and…

Q: ove whether the grammar below is LL(1) or not: S→aSbS| bSaS |ε S_>{a,b,} A->{b,a,

A: Given : S→aSbS| bSaS |ε

Q: Simplify the following grammar. Simplify the following GCL S→A JAA|AAA A → ABa | ACa | a

A: Consider the productions of the given grammar :    S→ A | AA | AA A→ ABa | ACa | a B→ ABa | Ab| λ C→…

Q: 1. Construct a Context Free Grammar that only accepts strings maintaining the following property: L…

A: Context-Free Grammar (CFG) stands for grammar in Theory of computation. It is the program used to…

Q: What is the equivalent regular expresiion of the following context free grammar? S- bXa X → ax | bX…

A: What is the equivalent regular expresiion of the following context free grammar? S → bXa X→aX | bX |…

Q: In this question, you will remove e-productions from the following production grammar. S→ aSb | bSa…

A: The given production rules can also be written as S→aSbS→bSaS→SSS→ε

Q: Exercise 1 Consider the following BNF grammar for a language. Answer the questions below according…

A: Actually, given question regarding BNF grammar.

Q: Let G be a formal grammar with the following production rules: Sigma --> 1A, A OB, B --> OB, B--> O.…

A: I have answered this question in step 2.

Q: Convert the following context-free grammar G to an equivalent PDA, where Σ = {a,b} and V = {A,X,Y}…

A: i have provided a solution in step2.

Q: Context Free Grammars 1) Consider the following Grammar over alphabet: E = {a, +, x, (,)} E E+T|T T…

A: Dear student. As per guidelines, I can do only first question with all subparts. Please re-post your…

Q: Oroduction rules P S→ ASA b A → B|AB|ale B → AC b D-d mplify, if possible this grammar. More…

A: Consider the given productions: S → ASA | b A → B | AB | a | ε B → AC | b D → d

Q: The following context-free grammar has s-rules. S J → JCB K → aJb | e CCC E KaKcc | B → bB | E B We…

A: Context free grammar is a formal grammar whose production rules can be applied to a nonterminal…