Abstract
The control and termination detection of a distributed computation involving large-scale distributed database is difficult in the presence of concurrency, random network delays, and varying reliabi...
Highlights
The applications of distributed computing systems involving databases are pervasive in nature
2beZþrÉe.pArellsetnhteeddisatsribDutceodmpprroisceedssoefs a set of distributed processes are considered as finite state machines (FSM) and a process pj has a set of deterministic execution states denoted by Sj, where φ ‚ Sj
A distributed computation in monotone topological spaces is consistent if the run R in ~D is defined as a sequence given in the following, where Ak; Am 2 Ωð~DÞ, such that ðgðAkÞ; gðAmÞÞ 2 and m = k + 1, R 1⁄4 hAk : Ak 2 Ωð~DÞ; k 1⁄4 0; 1; 2; :::::i
Summary
The applications of distributed computing systems involving databases are pervasive in nature. This article proposes the model of asynchronous distributed computation in metrized topological spaces having monotone property. The modeling and analysis of distributed systems and databases are performed by using modular graph theory and relational algebraic operators considering that the underlying network topology is static (Garg & Mittal, 2001; Rhode et al, 1999; Sitohang, 2002). The concept and mechanism of designing slicer of a distributed computation can be modeled in monotone spaces along with applications of Birkhoff’s representation theorem (Bagchi, 2017; Birkhoff & Kiss, 1947; Garg & Mittal, 2001). Any arbitrary intersections of closed sets in monotone spaces are closed, where finiteness of computation is maintained by closed finite intersection of sets
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