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In page Turing completeness:

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Real computers constructed so far can be functionally analyzed like a single-tape Turing machine (which uses a "tape" for memory); thus the associated mathematics can apply by abstracting their operation far enough. However, real computers have limited physical resources, so they are only linear bounded automaton complete. In contrast, the abstraction of a universal computer is defined as a device with a Turing-complete instruction set, infinite memory, and infinite available time.[citation needed]