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Axiomatizing Analog Algorithms

Published 14 Apr 2016 in cs.LO | (1604.04295v2)

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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