Asynchronous Computability Theorem in Arbitrary Solo Models

Yunguang Yue, Fengchun Lei, Xingwu Liu and Jie Wu
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Yunguang Yue: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
Fengchun Lei: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
Xingwu Liu: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
Jie Wu: College of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China

Mathematics, 2020, vol. 8, issue 5, 1-18

Abstract: In this paper, we establish the asynchronous computability theorem in d -solo system by borrowing concepts from combinatorial topology, in which we state a necessary and sufficient conditions for a task to be wait-free computable in that system. Intuitively, a d -solo system allows as many d processes to access it as if each were running solo, namely, without detecting communication from any peer. As an application, we completely characterize the solvability of the input-less tasks in such systems. This characterization also leads to a hardness classification of these tasks according to whether their output complexes hold a d -nest structure. As a byproduct, we find an alternative way to distinguish the computational power of d -solo objects for different d .

Keywords: distributed computing; asynchronous computability; solo model; solvability; combinatorial topology (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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