1) For each of the following languages, say whether it is context-free. If so, write a CFG or draw a PDA (non-mathematically) that generates the language. If not, prove it using the oumping lemma and/or closure properties for CFLS. a) b) c) d) L = {an* | n > 0}. L = {a"b"c{m-n) | m > n} L = {amb"cmn | m, n > 0} L = {a"b"cm | m > n} %3D

Q: Question 1: Use the pumping lemma for context free languages to prove that the language B = {ww w E…

A: Given language: B={ww | w∈{a,b}*}     To prove: B is not a CFL     Concepts used: Context-free…

Q: How to prove that the language {am bn cp | m,n,p are greater than or equal to zero and m != n and…

A: We are going to prove that the language {am bn cp | m,n,p are greater than or equal to zero and m !=…

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: don't really know where to start.

A: (BNF) Backus Normal Form: BNF is a metasyntactic writing process used to specify a syntax for…

Q: Question 1: Use the pumping lemma for context free languages to prove that the language B = {ww w E…

A: Answer:

Q: Prove or disprove that the language generated by the expression (OUE) 1*0+ is regular. Let 4= {a^…

A:

Q: the language is context-free.

A: Given :- In the above question, the languages is mention in the above given question,   Need to…

Q: I need the answer ASAP

A: A npda is one in a which for particular input we have two or more transitions to go to next state.

Q: L = { w ? { a, b, c, d }*| na(w), nb(w), nc(w), nd(w) ≥ 0, na(w)+nc(w)+nd(w) < nb(w) } Is L a…

A: The Pumping Lemma for Context-free Languages is a belonging that context-free languages have to…

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: 1. Given L₁ = {a, abc, a c) and L₂ = {ab, c ba) are the languages over = {a, b, c), determine L₁ L2…

A: Given :

Q: 4. Construct a PDA for the language L = {am bn cn | m, n ≥ 1 and Σ = {a, b}*}

A: A pushdown automation is a method for executing a context free grammer likewise we plan DFA for an…

Q: Construct the context free grammar G and a Push Down Automata (PDA) for each of the following…

A: The context free and PDA : Context free grammar: It  is used to generate all possible strings in a…

Q: Question 1: Use the pumping lemma for context free languages to prove that the language B = {ww| wE…

A:

Q: Show that D = {l*|n >0} is nonregular.

A: Given : Language D = {1n^2 | n&gt;= 0} To prove : Proving D is not regular using Pumping Lemma.

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: 10. a. Define clearly but completely: Language L is decidable. b. Let ALLDFA = {M: M is a DFA and…

A: A language L is decidable or recognisable if a Turing machine that recognises (decides) that…

Q: that the following language is context-free by either providing a PDA recognizing the language or a…

A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…

Q: Question 2: Construct the PDA for the language L-(a'bek, with i-jor j-k and i.j.k >=0;

A: Given : L = {aibjck, with i=j or j=l and i,j,k&gt;=0} strings are L are : aibjck where a's equals…

Q: Let us have the following regular grammarG. Apply the method of regular equations on conversion…

A: Regular expressions are a powerful tool for describing patterns in strings. They are used in many…

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: (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: Show that the family of context-free languages is not closed under difference in general, but is…

A: We know that from the closure of context-free language is that  Context - free language is not…

Q: 2. Do there exist regular languages L and L2 such that (L;UL2) = (Lol)? YES or NO

A: yes

Q: L= { anban bab | n ≥ 0 }

A: A context-free language (CFL) is a language generated by context-free grammar (Type 2 grammar) and…

Q: Problem 3 For a language LCE*, define odd(L) := {w E L : w| is odd} (a) Show that if L is regular…

A: Every finite set represents a regular language. Example 1 – All strings of length = 2 over {a, b}*…

Q: Given: Language of RE = (a+bb)*(ab+ba) Construct the CFG of the given language L of RE.

A: Answer is given below-

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

A:

Q: abb and bab. Note that the substrings ca

A:

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

A:

Q: 3. Prove that the following languages are either regular or not regular: a. L = {ww contains a "1"…

A:

Q: 4. Given the language L = {wxwR: w ∈ {a, b}*, x is a fixed terminal symbol}, answer the following…

A: L = {wxwR: w ∈ {a, b}*, x is a fixed terminal symbol}