1. Physical Computation, P/poly and P/log*
- Author
-
Richard Whyman
- Subjects
FOS: Computer and information sciences ,Discrete mathematics ,Class (set theory) ,lcsh:Mathematics ,Physical computation ,Computation ,Computational Complexity (cs.CC) ,lcsh:QA1-939 ,lcsh:QA75.5-76.95 ,Computer Science - Computational Complexity ,Transformation (function) ,P/poly ,lcsh:Electronic computers. Computer science ,Time complexity ,Randomness ,Mathematics - Abstract
In this paper we give a framework for describing how abstract systems can be used to compute if no randomness or error is involved. Using this we describe a class of classical "physical" computation systems whose computational capabilities in polynomial time are equivalent to P/poly. We then extend our framework to describe how measurement and transformation times may vary depending on their input. Finally we describe two classes of classical "physical" computation systems in this new framework whose computational capabilities in polynomial time are equivalent to P/poly and P/log*., In Proceedings PC 2016, arXiv:1606.06513
- Published
- 2016
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