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We now add an additional degree of non-determinism and allow transitions that can be taken independent of the input-ε-transitions. Here whenever the automaton is in state 1
Design a turing machine to compute x + y (x,y > 0) with x an y in unary, seperated by a # (descrition and genereal idea is needed ... no need for all TM moves)
design an automata for strings having exactly four 1''s
S-->AAA|B A-->aA|B B-->epsilon
Can you say that B is decidable? If you somehow know that A is decidable, what can you say about B?
20*2
(c) Can you say that B is decidable? (d) If you somehow know that A is decidable, what can you say about B?
Let L1 and L2 be CGF. We show that L1 ∩ L2 is CFG too. Let M1 be a decider for L1 and M2 be a decider for L2 . Consider a 2-tape TM M: "On input x: 1. copy x on the sec
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
Proof (sketch): Suppose L 1 and L 2 are recognizable. Then there are DFAs A 1 = (Q,Σ, T 1 , q 0 , F 1 ) and A 2 = (P,Σ, T 2 , p 0 , F 2 ) such that L 1 = L(A 1 ) and L 2 = L(
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