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Queue automaton : ウィキペディア英語版
Queue automaton
A queue machine or queue automaton is a finite state machine with the ability to store and retrieve data from an infinite-memory queue. It is a model of computation equivalent to a Turing machine, and therefore it can process any formal language.
== Theory ==
We define a queue machine by the six-tuple
:M = (Q, \Sigma, \Gamma, \$, s, \delta) where
* \,Q is a finite set of ''states'';
* \,\Sigma \subset \Gamma is the finite set of the ''input alphabet'';
* \,\Gamma is the finite ''queue alphabet'';
* \,\$ \in \Gamma - \Sigma is the ''initial queue symbol'';
* \,s \in Q is the ''start state'';
* \,\delta : Q \times \Gamma \rightarrow Q \times \Gamma^
* is the ''transition function''.
We define the current status of the machine by a ''configuration'', an ordered pair of its state and queue contents \,(q,\gamma)\in Q\times\Gamma^
* (note \,\Gamma^
* defines the Kleene closure or set of all supersets of \,\Gamma). The starting configuration on an input string \,x is defined as \,(s,x\$), and the transition \rightarrow_M^1 from one configuration to the next is defined as:
:\,(p,A\alpha) \rightarrow_M^1 (q,\alpha\gamma)
where A is a symbol from the queue alphabet, \alpha is a sequence of queue symbols (\alpha \in \Gamma^
*), and (q, \gamma) = \delta(p, A). Note the "first-in-first-out" property of the queue in the relation.
The machine accepts a string \,x\in\Sigma^
* if after a (possibly infinite) number of transitions the starting configuration evolves to exhaust the string (reaching a null string \,\epsilon), or \,(s,x\$)\rightarrow_M^
*(q,\epsilon).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Queue automaton」の詳細全文を読む



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