(10) The regular languages are closed under intersection with the context-free languages. True False

Q: 3 Proof Prove or disprove that the context-free languages are closed over the reverse operator, i.e.…

A: We want to show that if L is a context-free language, then LR is a context-free language. So let G…

Q: L is context-free, then LR must be context-free.

A: As given: We want to show that if L is a context-free language, then it LR is must be context-free…

Q: (a) Rewrite the grammar to give + precedence over * and force + to be right associative.   (b)…

A: Given:   (a) Rewrite the grammar to give + precedence over * and force + to be right associative.…

Q: Define a Regular Expression that describes the language accepted by the following finite automaton.…

A: Regular Expressions are the expressions which are described from language accepted by the finite…

Q: (0 | 1) (10) * (01 | 1) + 0 ? Make a Context Free Grammar (CFG) form of the RE.

A: Answer: We need to write the context free grammar from Regular Expression so we will see in the more…

Q: 1) Grammar G is N→DIND D→0|1|2|3|4|5|6|7|8|9 What is the language L(G) specified by G? Write the…

A: Given Grammar is, N→D|NDD→0|1|2|3|4|5|6|7|8|9 In this grammar, N, D are variables.

Q: Give an example of a finite, binary language.

A: Finite , Binary LAnguage:   A binary string is a sequence of 0's and 1's.  Let Σ be the set {0,1}.…

Q: give one example for each of the following concepts. i. a small grammar that does not generate any…

A: Chomsky normal form (CNF) is a grammatical representation of a formal language in the form of…

Q: struct a dfa for the following language and also construct a dfa for the compliment of that…

A: in the given question you asked to construct a dfa for the following language and also construct a…

Q: Design a computer programming language Grammar, with the following characteristics: Left Recursion…

A: Grammar is set of rules which is used to define the required set of outputs.

Q: For each of the following languages, draw an FA accepting it. a). {b, bba}∗{a} b). {aba, aa}∗{ba}*

A:

Q: 0. What does Kleene’s Theorem state about languages that can be defined with DFAs and languages…

A: Kleene’s Theorem It states that For any Regular Expression r that represents Language L(r), there is…

Q: Not all finite languages are regular.   Group of answer choices: True False

A: The answer is given below.

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: fa language supports Abstract Data Types, it must support Object-Oriented Programming O True O False

A: Abstract data types must have function that allows user to modify the value.

Q: 1. Show that the following languages are not regular. (a) L= {a"b*c" | n 2 0, k > 0}

A:

Q: Closure Property of Regular Languages Prove that the set of regular languages is closed for the O P…

A: We have to prove that the set of regular languages is closed for the O P 3.

Q: There are some context-free languages that contain no infinite regular subsets A regular language…

A: CFG is a conventional punctuation which is utilized to produce all potential examples of strings in…

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

A: Lets see the solution.

Q: The intersection of a regular language and a nonregular language must be regular. Group of answer…

A: If we consider that, L1 is a regular language Σ∗ which is a set of all possible strings over a given…

Q: 9. (*) Find a language that does not have any grammar!

A: Introduction Every binary code used throughout computer systems is based on binary, which is a…

Q: 10. Consider the regular and context-free languages. Since both categories can represent infinite…

A: Intuitively, a language is regular if it can be built from individual strings by concatenation,…

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

A:

Q: a) The grammar G is described by its vocabulary V = {a, b, c, A}, Production P = {A - ab, A - abc, A…

A: Actually, given question regarding grammar.

Q: (CNF) Given the following CFG,  1) Convert it into CNF grammar, 2) Define the language in English…

A: Context-Free Grammar is referred to as CFG. In formal language, it is a set of production rules that…

Q: 8) Determine the language recognized by a given deterministic finite-state automaton. Start 0,1 0.1

A:

Q: (i) (01 + 001 + 010)* (ii) (0 + 1)*010 (iii) 0(10)*1 Give an equivalent regular grammar for all the…

A: Take here S is generator of string given by regular expression. S -> 01S | 001S | 010S |   where…

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

A:

Q: (1) Grammar G is N →D|ND D 0|1|2|3|4|5|6|7|8|9 What is the language L(G) specified by G? Write the…

A: Given Grammar is, N→D|NDD→0|1|2|3|4|5|6|7|8|9 In this grammar, N, D are variables.

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: The Pumping Lemma for regular languages states a necessary property for such languages. Is it…

A: Let's understand first about pumping lemma. Pumping Lemma is to be applied to show that the certain…

Q: (8) The context-free languages are closed under concatenation with the regular languages. True False

A: In the fields of automata theory and formal language theory, context-free languages (CFLs) are a…

Q: (b) Design a context-free grammar that accepts the language of all binary strings with at most one…

A: In fact, the language is a regular language. For consider the set of all strings with at least 1…

Q: To show that a language is context-free, you could construct a PDA for it. You could also □ (d) a or…

A: Note: Context free language is recognized using PDA(push down automata) and cfg(context free…