Consider the language defined over the alphabet Σ (0, 1): [10] 2nin i. Show that L1...
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ = {0,1): at accepts the tollowing language, define [10] Give the transition diagram and explain the algorithm implemented by your TM.
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00} 2) Give a DFA, M2, that accepts a Language L2 = {all strings that end with 01} 3) Give acceptor for L1 intersection L2 4) Give acceptor for L1 - L2
Give a PDA (Pushdown Automata) that recognizes the language L = {σ ∈ {x, y, z} ∗ | 2|σ|x = |σ|y ∨ 2|σ|y = |σ|z} You can choose whether your PDA accepts by empty stack or final state, but make sure you clearly note, which acceptance is assumed.
formal language automata 1. (15p) Consider the Context-free grammar G defined by: S → 0A1A1A1A A0A1A a) Describe L(G). (5p) b) Convert G into a Pushdown Automaton (PDA). (10p)
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or final state, but make sure you clearly note, which acceptance is assumed 2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or...
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...
4(10 points] Let A be the language over the alphabet -(a, b) defined by regular expression (ab Ub)aUb. Give an NFA that recognizes A. Draw an NFA for A here 5.10 points] Convert the following NFA to equivalent DFA a, b 4(10 points] Let A be the language over the alphabet -(a, b) defined by regular expression (ab Ub)aUb. Give an NFA that recognizes A. Draw an NFA for A here 5.10 points] Convert the following NFA to equivalent DFA...
Let L be any non-empty language over an alphabet Σ. Show that L^2 ⊆ L^3 if and only if λ ∈ L
Give a DFA for the following language over the alphabet Σ = {0, 1}: L={ w | w starts with 0 and has odd length, or starts with 1 and has even length }. E.g., strings 0010100, 111010 are in L, while 0100 and 11110 are not in L.
1. Give a DFA for each of the following languages defined over the alphabet Σ (0, i): a) (3 points) L={ w | w contains the substring 101 } b) (3 points) L-wl w ends in 001)