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Some of the most interesting and important results concerning quantum finite automata are those showing that they can recognize certain languages with (much) less resources than corresponding classical finite automata. This paper shows three results of such a type that are stronger in some sense than other ones because (a) they deal with models of quantum finite automata with very little quantumness (so-called semi-quantum one- and two-way finite automata); (b) differences, even comparing with probabilistic...
We present several solutions to
the Firing Squad Synchronization Problem on grid networks of
different shapes.
The nodes are finite state processors that
work in unison with other processors and in synchronized discrete steps. The
networks we deal with are: the line, the ring and the square.
For all of these models we consider one- and two-way
communication modes and we also constrain the quantity of information
that adjacent processors can exchange at each step.
We first present synchronization...
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