(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is...
(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is a CFL by drawing a nondeterministic PDA M that accepts L. Show a formal computation (i.e., sequence of instantaneous descriptions) of your machine M for each of the following five strings w: aa, ab^2a, a^2 b^4 a^2, abbab.
(b) For each of the above five strings w, state whether or not w
L(M) and explain why
Homework Answers
PDA for L = {0^n 0^m | n and m > 0} and do computation or...
PDA for L = {0^n 0^m | n and m > 0} and do computation or input string 00001111
[20 points] As an example of a PDA look at the one below that accepts the...
[20 points] As an example of a PDA look at the one below that accepts the following language (Z is the stack start symbol): {a”br | n >0} U{a}. a, 1; 11 b, 1; a, Z; 12 b, 1 ; 90 q1 q2 1,2; a, Z;À Z: 93 We want to show that the language L below is a CFL by designing the PDA P, defined as P= {{90, 91, 92}, {0, 1}, {x, Z},0,40, 2, {92}}, that accepts it:...
19. Construct minimal NFA that all accepts all strings of {a,b} and L={ambn|m,n>0} Corrected question :...
19. Construct minimal NFA that all accepts all strings of {a,b} and L={ambn|m,n>0} Corrected question : 19. Construct minimal FA that all accepts all strings of {a,b} and L={a^mb^n|m,n>0}
Help me answer this question plz! 4. Let L = { (A) M is a Turing...
Help me answer this question plz!
4. Let L = { (A) M is a Turing machine that accepts more than one string } a) Define the notions of Turing-recognisable language and undecidable language. b) Is L Turing-recognisable? Justify your answer with an informal argument. c) Justify with a formal proof your answer to b) d) Prove that L is undecidable. (Hint: use Rice's theorem.) e) Modify your answer to b) when instead of L you have the language Ln...
Let Show that L is undecidable L = {〈M) IM is a Turing Machine that accepts w whenever it accepts L = {〈M) IM is a Turing Machine that accepts w whenever it accepts
Let Show that L is undecidable L = {〈M) IM is a Turing Machine that accepts w whenever it accepts L = {〈M) IM is a Turing Machine that accepts w whenever it accepts
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that...
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that are strings in 10, 1). Design Mi so that it recognizes the following language: fw E (0.1)l w ends in 10 or 111) a. Provide a high-level English prose description for the actions of Mi b. Provide an implementation-level description of M. c. List the parts of the formal 7-tuple for M d. Draw a detailed pictorial state diagram for M1 e. List the...
1. Let L = {ambm cn | m <n}. Use the pumping lemma to show that...
1. Let L = {ambm cn | m <n}. Use the pumping lemma to show that L is not a CFL.
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L =...
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L = {(ba)^n cc: n greaterthanorequalto 1} Union {ab^m: m greaterthanorequalto 0} Write the sequence of moves done by the TM when the input string is w = bab. Is the string w accepted?
2. Let L-M M): M is a Turing machine that accepts at least two binary strings. a) Define the notions of a recognisable...
2. Let L-M M): M is a Turing machine that accepts at least two binary strings. a) Define the notions of a recognisable language and an undecidable language. [5 marks [5 marks] b) Is L Turing-recognisable? Justify your answer with an informal argument. c) Prove that L is undecidable. (Hint: use Rice's theorem.) [20 marks] 20 marks] d) Bonus: Justify with a formal proof your answer to b).
2. Let L-M M): M is a Turing machine that accepts at...
2. Let L = {hMi: M is a Turing machine that accepts at least two binary strings}. a) Define the notions of a recognisabl...
2. Let L = {hMi: M is a Turing machine that accepts at least two
binary strings}. a) Define the notions of a recognisable language
and an undecidable language. [5 marks] b) Is L Turing-recognisable?
Justify your answer with an informal argument. [5 marks] c) Prove
that L is undecidable. (Hint: use Rice’s theorem.) [20 marks] d)
Bonus: Justify with a formal proof your answer to b). [20
marks]
2. Let L-M M): M is a Turing machine that accepts...
[20 points] As an example of a PDA look at the one below that accepts the following language (Z is the stack start symbol): {a”br | n >0} U{a}. a, 1; 11 b, 1; a, Z; 12 b, 1 ; 90 q1 q2 1,2; a, Z;À Z: 93 We want to show that the language L below is a CFL by designing the PDA P, defined as P= {{90, 91, 92}, {0, 1}, {x, Z},0,40, 2, {92}}, that accepts it:...
Help me answer this question plz!
4. Let L = { (A) M is a Turing machine that accepts more than one string } a) Define the notions of Turing-recognisable language and undecidable language. b) Is L Turing-recognisable? Justify your answer with an informal argument. c) Justify with a formal proof your answer to b) d) Prove that L is undecidable. (Hint: use Rice's theorem.) e) Modify your answer to b) when instead of L you have the language Ln...
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that are strings in 10, 1). Design Mi so that it recognizes the following language: fw E (0.1)l w ends in 10 or 111) a. Provide a high-level English prose description for the actions of Mi b. Provide an implementation-level description of M. c. List the parts of the formal 7-tuple for M d. Draw a detailed pictorial state diagram for M1 e. List the...
1. Let L = {ambm cn | m <n}. Use the pumping lemma to show that L is not a CFL.
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L = {(ba)^n cc: n greaterthanorequalto 1} Union {ab^m: m greaterthanorequalto 0} Write the sequence of moves done by the TM when the input string is w = bab. Is the string w accepted?
2. Let L-M M): M is a Turing machine that accepts at least two binary strings. a) Define the notions of a recognisable language and an undecidable language. [5 marks [5 marks] b) Is L Turing-recognisable? Justify your answer with an informal argument. c) Prove that L is undecidable. (Hint: use Rice's theorem.) [20 marks] 20 marks] d) Bonus: Justify with a formal proof your answer to b).
2. Let L-M M): M is a Turing machine that accepts at...
2. Let L = {hMi: M is a Turing machine that accepts at least two
binary strings}. a) Define the notions of a recognisable language
and an undecidable language. [5 marks] b) Is L Turing-recognisable?
Justify your answer with an informal argument. [5 marks] c) Prove
that L is undecidable. (Hint: use Rice’s theorem.) [20 marks] d)
Bonus: Justify with a formal proof your answer to b). [20
marks]
2. Let L-M M): M is a Turing machine that accepts...
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