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- W2014403984 abstract "We present efficient time-bounded ATM and space-bounded TM simulations of one-way conglomerates (OWCs), which are interconnected networks of finite-state machines that allow only one-way communication between adjacent nodes. In particular, we show that OWCs with depth D ( n ) and operating in time T ( n ) can be simulated by ATMs in time O( D ( n )·log T ( n )) (and hence by a TM with the same amount of space). This extends Ruzzo's result that boolean circuits of depth D ( n ) can be simulated by O( D ( n ))-time bounded ATMs, and refines Gold-schlager's result that two-way conglomerates operating in T ( n ) time can be simulated by T ( n )-space bounded TMs. By exploiting the regularity of interconnections in some OWCs, we obtain more efficient space-bounded TM simulations. For example, using the ATM result, a k -dimensional one-way mesh array of n k -nodes would require n 2 space on a TM (such an array can run in c n time in the worst case). We show that the 7space can be reduced to n 2− 1 k ." @default.
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- W2014403984 date "1989-10-01" @default.
- W2014403984 modified "2023-09-24" @default.
- W2014403984 title "Efficient simulations of simple models of parallel computation by time-bounded ATMs and space-bounded TMs" @default.
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- W2014403984 doi "https://doi.org/10.1016/0304-3975(89)90116-3" @default.
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