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arXiv · 2212.11637

Time and Space Measures for a Complete Graph Computation Model

Brian Courtehoute·Detlef Plump
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Abstract

We present a computation model based on a subclass of GP 2 graph programs which can simulate any off-line Turing machine of space complexity O(s(n) log s(n)) in space O(s(n)). The simulation only requires a quadratic time overhead. Our model shares this property with Sch\"onhage's storage modification machines and Kolmogorov-Uspenskii machines. These machines use low-level pointer instructions whereas our GP 2-based model uses pattern-based transformation rules and high-level control constructs.

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Brian Courtehoute, Detlef Plump. 2022-12-22. Time and Space Measures for a Complete Graph Computation Model. https://doi.org/10.4204/eptcs.374.4

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