Axiomatizing analog algorithms

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Abstract

We propose a formalization of generic algorithms that includes analog algorithms. This is achieved by reformulating and extending the framework of abstract state machines to include continuous-time models of computation. We prove that every hybrid algorithm satisfying some reasonable postulates may be expressed precisely by a program in a simple and expressive language.

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Bournez, O., Dershowitz, N., & Néron, P. (2016). Axiomatizing analog algorithms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9709, pp. 215–224). Springer Verlag. https://doi.org/10.1007/978-3-319-40189-8_22

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