Coalgebraic tools for randomness-conserving protocols

被引:0
作者
Kozen, Dexter [1 ]
Soloviev, Matvey [1 ]
机构
[1] Cornell Univ, Ithaca, NY 14853 USA
关键词
Randomness; Entropy; Protocol; Reduction; Transducer; Coalgebra;
D O I
10.1016/j.jlamp.2021.100734
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We propose a coalgebraic model for constructing and reasoning about state-based protocols that implement efficient reductions among random processes. We provide basic tools that allow efficient protocols to be constructed in a compositional way and analyzed in terms of the tradeoff between state and loss of entropy. We show how to use these tools to construct various entropy-conserving reductions between processes. (C) 2021 Published by Elsevier Inc.
引用
收藏
页数:23
相关论文
共 30 条
[1]  
Adamek J., 1991, FDN CODING
[2]  
[Anonymous], 1951, National Bureau of Standards Applied Mathematics Series
[3]  
[Anonymous], 1974, A Course in Probability Theory
[4]   INDEPENDENT UNBIASED COIN FLIPS FROM A CORRELATED BIASED SOURCE - A FINITE STATE MARKOV-CHAIN [J].
BLUM, M .
COMBINATORICA, 1986, 6 (02) :97-108
[5]  
Böcherer G, 2014, IEEE INT SYMP INFO, P176, DOI 10.1109/ISIT.2014.6874818
[6]  
Cassels J., 1965, Cambridge Tracts in Math., V45
[7]  
Cover Thomas M, 1999, Elements of Information Theory
[8]  
Doberkat E.E., 2007, STOCHASTIC RELATIONS
[9]  
Dodis Y, 2004, LECT NOTES COMPUT SC, V3122, P334
[10]  
Doob J.L., 1953, Stochastic processes, V2