Intensional properties of polygraphs

Guillaume Bonfante; Yves Guiraud

doi:10.1016/j.entcs.2008.03.034

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arXiv · cs/0703007

Intensional properties of polygraphs

Guillaume Bonfante·Yves Guiraud

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Abstract

We present polygraphic programs, a subclass of Albert Burroni's polygraphs, as a computational model, showing how these objects can be seen as first-order functional programs. We prove that the model is Turing complete. We use polygraphic interpretations, a termination proof method introduced by the second author, to characterize polygraphic programs that compute in polynomial time. We conclude with a characterization of polynomial time functions and non-deterministic polynomial time functions.

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Guillaume Bonfante, Yves Guiraud. 2007-11-20. Intensional properties of polygraphs. https://doi.org/10.1016/j.entcs.2008.03.034

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