Synchronizing Many Filesystems in Near Linear Time

Finding a provably correct subquadratic synchronization algorithm for many filesystem replicas is one of the main theoretical problems in operational transformation (OT) and conflict-free replicated data types (CRDT) frameworks. Based on the algebraic theory of filesystems, which incorporates non-co...

Full description

Bibliographic Details
Main Authors: Elod P. Csirmaz, Laszlo Csirmaz
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Future Internet
Subjects:
Online Access:https://www.mdpi.com/1999-5903/15/6/198
_version_ 1797594739928727552
author Elod P. Csirmaz
Laszlo Csirmaz
author_facet Elod P. Csirmaz
Laszlo Csirmaz
author_sort Elod P. Csirmaz
collection DOAJ
description Finding a provably correct subquadratic synchronization algorithm for many filesystem replicas is one of the main theoretical problems in operational transformation (OT) and conflict-free replicated data types (CRDT) frameworks. Based on the algebraic theory of filesystems, which incorporates non-commutative filesystem commands natively, we developed and built a proof-of-concept implementation of an algorithm suite which synchronizes an arbitrary number of replicas. The result is provably correct, and the synchronized system is created in linear space and time after an initial sorting phase. It works by identifying conflicting command pairs and requesting one of the commands to be removed. The method can be guided to reach any of the theoretically possible synchronized states. The algorithm also allows asynchronous usage. After the client sends a synchronization request, the local replica remains available for further modifications. When the synchronization instructions arrive, they can be merged with the changes made since the synchronization request. The suite also works on filesystems with a directed acyclic graph-based path structure in place of the traditional tree-like arrangement. Consequently, our algorithms apply to filesystems with hard or soft links as long as the links create no loops.
first_indexed 2024-03-11T02:26:29Z
format Article
id doaj.art-888d63a6d0c0434684e9957eba87f162
institution Directory Open Access Journal
issn 1999-5903
language English
last_indexed 2024-03-11T02:26:29Z
publishDate 2023-05-01
publisher MDPI AG
record_format Article
series Future Internet
spelling doaj.art-888d63a6d0c0434684e9957eba87f1622023-11-18T10:30:17ZengMDPI AGFuture Internet1999-59032023-05-0115619810.3390/fi15060198Synchronizing Many Filesystems in Near Linear TimeElod P. Csirmaz0Laszlo Csirmaz1Alfréd Rényi Institute of Mathematics, 1053 Budapest, HungaryAlfréd Rényi Institute of Mathematics, 1053 Budapest, HungaryFinding a provably correct subquadratic synchronization algorithm for many filesystem replicas is one of the main theoretical problems in operational transformation (OT) and conflict-free replicated data types (CRDT) frameworks. Based on the algebraic theory of filesystems, which incorporates non-commutative filesystem commands natively, we developed and built a proof-of-concept implementation of an algorithm suite which synchronizes an arbitrary number of replicas. The result is provably correct, and the synchronized system is created in linear space and time after an initial sorting phase. It works by identifying conflicting command pairs and requesting one of the commands to be removed. The method can be guided to reach any of the theoretically possible synchronized states. The algorithm also allows asynchronous usage. After the client sends a synchronization request, the local replica remains available for further modifications. When the synchronization instructions arrive, they can be merged with the changes made since the synchronization request. The suite also works on filesystems with a directed acyclic graph-based path structure in place of the traditional tree-like arrangement. Consequently, our algorithms apply to filesystems with hard or soft links as long as the links create no loops.https://www.mdpi.com/1999-5903/15/6/198file synchronizationalgebraic modeloptimistic synchronizationlinear complexity
spellingShingle Elod P. Csirmaz
Laszlo Csirmaz
Synchronizing Many Filesystems in Near Linear Time
Future Internet
file synchronization
algebraic model
optimistic synchronization
linear complexity
title Synchronizing Many Filesystems in Near Linear Time
title_full Synchronizing Many Filesystems in Near Linear Time
title_fullStr Synchronizing Many Filesystems in Near Linear Time
title_full_unstemmed Synchronizing Many Filesystems in Near Linear Time
title_short Synchronizing Many Filesystems in Near Linear Time
title_sort synchronizing many filesystems in near linear time
topic file synchronization
algebraic model
optimistic synchronization
linear complexity
url https://www.mdpi.com/1999-5903/15/6/198
work_keys_str_mv AT elodpcsirmaz synchronizingmanyfilesystemsinnearlineartime
AT laszlocsirmaz synchronizingmanyfilesystemsinnearlineartime