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Small turing machines and generalized busy beaver competition
Let TM(k,l) be the set of one-tape Turing machines with k states and l symbols. It is known that the halting problem is decidable for machines in TM(2,3) and TM(3,2). We prove that the decidability of machines in TM(2,4) and TM(3,3) will be difficult to ...
Departures from a Queue with Many Busy Servers
<P>To analyze networks of queues, it is important to be able to analyze departure processes from single queues. For the M/M/s and M/G/∞ models, the stationary departure process is simple Poisson, but in general the stationary departure process is quite ...
Converting two-way nondeterministic unary automata into simpler automata
We show that, on inputs of length exceeding 5n2, any n-state unary two-way nondeterministic finite automaton (2nfa) can be simulated by a (2n+2)-state quasi-sweeping 2nfa. Such a result, besides providing a “normal form” for 2nfa's, enables us to get a ...
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