Classify the languages below into the categories regular, context-free but not regular, or neither: 1. {w∈{a, b, c}∗ | na(w) = nb(w) = 2nc(w)} 2. {w∈{a, b} ∗ | na(w) + 3nb(w) ≡ 1 mod 4} 3. { uwuR | u, w∈ {a, b} ∗ and | na(w) = nb(w)}

Q: 3. Are the languages L₁ and L₂ below over the alphabet Σ = {a,b,c} regular or non-regular? Justify…

A: A regular language is a set of strings formed by a specific pattern or structure that can be…

Q: Question 1 Describe in words the following formal language: • Σ = {a,b} • L = { a, abb, abbaaa,…

A: ∑={a,b}L={a,abb,abbaaa,abbaaabbbb,abbaaabbbbaaaaa,...} It demonstrates that L is a group of words…

Q: . State which of the following classes each of the given languages belong to, and then prove our…

A: The handwritten answer is below:

Q: Construct a PDA that recognizes the language: L = {aibj | i ≤ j}

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: 2. Recall in lambda calculus, logic connectives NOT and OR can be defined as: NOT = (Ax | xFT) OR=…

A: Answer: I have given answered in the handwritten format in brief explanation.

Q: 1.Design an NFA that accepts the following language such that your machine has no more than 6…

A: Here below i design simple NFA that accepts minimum 3 length and starts with 0 and ends with 11.…

Q: (2) Context-free languages: (a) Let ALLLENPDA = {{M) : M is an PDA for which lengths(L(M)) = 1*}.…

A: Answer: I have given answered in the handwritten format in brief explanation.

Q: 1. For each of the following languages of the form {w € {a,b}* | ... } where the rule... in each…

A: As per our guide lines only 3 sub parts will be answered which are interlinked. So, please repost…

Q: ii. Consider a language L over the alphabet Σ = {0, 1} with the following properties: L#0 • LE* • L…

A:

Q: Classify the following languages into one of the three categories a) regular, b) context-free but…

A: i) The language 𝐿{𝑤𝑢𝑤∧𝑅∣𝑤,𝑢∈(𝑎+𝑏)∗}L={wuw∧R∣w,u∈(a+b)∗} is context-free but not regular. It…

Q: 3. Consider the following language: L = {w€ {a,b}* | 2#a(w) # 3#b(w)}, where #c(w) denotes the…

A: Given:

Q: Provide an implementation-level description (state-diagram) of TM tha m+n recognizes the language L…

A: State diagram of the given language

Q: Suppose the languages recognized by DFAs M and N are L1 and L2 respectively. How can  we use DFAs M…

A: The DFA for L1∩L2 is possible but it is subjected to the respective language accepted by M and N FOR…

Q: 11) Construct an NPDA that accepts the following language on Σ = {a, b}, L = {w | na(w) = n(w) + 1}.

A: NPDA: The non-deterministic pushdown automaton and NFA are quite similar. We shall talk about…

Q: When we convert CFG: A->AYA into CNF, the rule one le, Y-->if le is............ OA->AYAle, Y->if | e…

A: In this question we have to understand the rule one or first method when converting a CONTEXT FREE…

Q: 2- Write CFG for the following languages a) L= {anb²n, n>0} b) L= {a²nbn, n>0} c) L= {ww}, w={a,b}*…

A: 2. a) The given language is :  L = { a n b 2n , n >= 0 } So, in this language, the number of a's…

Q: A) Design a deterministic finite automaton for the given regular expression R. Ř = (0 +1 (1+ 01)…

A: A) Design a deterministic finite automaton for the given regular expression R. R = (0 + 1 (1 + 01)…

Q: 1. Using the pumping lemma for context-free languages, prove the following language is not…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s.  Never use…

Q: a) L= {anb²n, n≥0} b) L= {a²nbn, n>0} c) L= {ww}, w={a,b}* d) L= {anb²n, n≥0} U {ww}, w={a,b}* 1-…

A: Note:- As per our guidelines we are supposed to answer only one question in multiple questions and…

Q: (b)a - Consider the CFG : G= ({S,A,B} ,{a,b,c} ,R,S) where R is given by S> a Sc|A; A →a Able (i)…

A: Push Down Automata: It is exist for the context free language. It is purely depend on the stack…

Q: 1. Show that the language L= {ak' | k > 0} is not context-free. %3D

A: According to the Bartelby guideline we are suppose to answer only one question at a time . Kindly…

Q: (8) Prove that if L is a context-free language then L* is a context-free language .

A: Lets see the solution.

Q: 7. Consider the class ODDCFA of all context free languages whose words all are of odd length, over…

A: Answer is given below .

Q: When we convert CFG: A-->AYA le, Y-→->if le into CNF, the rule one is............ O A-->AYAle,…

A: Here we have given correct option for the question asked while converting CFG to CNF. You can find…

Q: Use the Pumping Lemma to show that each of the languages below is not context-free. 1. B = {0″ #0²…

A: 1. B = {0" #02" #03" In > 0} Suppose B is a context-free language. Then there exists a number p…

Q: 1. Prove that L is a context-free language using a

A:

Q: Understanding self-check questions on the "ArithmeticExpression.java" example from class and the…

A: Here we have given a solution by representing hand on input expression using two stacks after each…

Q: When we convert CFG: A-->AYA le, Y-->if le into CNF, the rule one is............ OA->AYAle, Y->if |…

A: We need to find the correct option regarding the CFG to CNF convertion.

Q: Draw PDAS for the following languages L. L = {w| w E {a,b}* and 2|x|, – 2 < |x|a < 3|c|, + 3}.

A: PDA for the language L

Q: 1. For each of the following languages of the form {w {a,b}* ...} € | where the rule... in each case…

A: Here from question As per our only 3 sub-parts will be answered which are interlinked. So, please…

Q: When we convert CFG: A-->AYA le, Y-->if le into CNF, the rule one is............ A->AYAle, Y-->if |…

A: The question is to select the correct option for the given problem.

Q: FORMAL LANGUAGES AND AUTOMATIC THEORY Design an indefinite finite automaton (NFA) for a language…

A:

Q: 2. Define the following connective † using only ¬, ^, and V. y | t(a, B, y) TTT TTF T FT TFF FTT FTF…

A: Here we need to use KMap to find the boolean function

Q: Part A) Let G = (V,E, R, S) be a CFG that generates a language A. Prove or disprove: The CFG G' =…

A:

Q: escribe the same class of lang is closed under union.

A: The first three questions will be answered only. a) Every regular language is said to be a…

Q: absolutely ans Let Σ = {0,1}. Design an NFA to accept the language L= { (01)^n | n>0}. b) Convert…

A:

Q: 6. Section 8.2 Show that the language nn L = {a b : n ≥ 0, n is not a multiple of 5} is…

A: According to the information given:- We have to follow the instructions in order to show that the…

Q: 7. Show that, CFLTM = {(M) | M is a TM and L(M) is a context free language } is undecidable.

A:

Q: 1) i) Construct pushdown automata for the following languages: (a) {anbman | m, n € N, m > 0, n >0}

A: Pushdown Automata which refers to the finite automata with extra memory called stack which helps…

Q: 3 CNF Step 3 Perform step three of converting the following CFG’s into CNF by removing unit rules.…

A: Answer:-   3) Removing unit rules means if there exists production A-&gt;B with what B produces…

Q: This practice project entails the design and implementation of a push-down automata which can…

A: Note: The program is written in Python languagerules = { ('p', ''): ('q', 'S', '1'), ('qb', 'b'):…

Q: Minimum number of states in a DFA that accepts the language L= {w| w has an even number of a's and…

A: Introduction :

Q: Given the declarations: m,n, s: ℤ a: Author current: ℙ Accouts novelists: ℙ Author Say what the type…

A: GIVEN: Given the declarations:m,n, s: ℤa: Authorcurrent: ℙ Accoutsnovelists: ℙ AuthorSay what the…

Q: When we convert CFG: A-->AYA le, Y-->if le into CNF, the rule one is............ A->AYAle, Y->if | e…

A: Remove start symbol and remove null

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.