Arbitrary sequence RAMs |
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| Authors: | Michael Brand |
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| Affiliation: | Faculty of IT, Monash University, Clayton, VIC 3800, Australia |
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| Abstract: | It is known that in some cases a Random Access Machine (RAM) benefits from having an additional input that is an arbitrary number, satisfying only the criterion of being sufficiently large. This is known as the ARAM model. We introduce a new type of RAM, which we refer to as the Arbitrary Sequence RAM (ASRAM), that generalises the ARAM by allowing the generation of additional arbitrary large numbers at will during execution time. We characterise the power contribution of this ability under several RAM variants. |
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| Keywords: | Arbitrary number Random Access Machine Arithmetic complexity Computational complexity Theory of computation |
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