Distributed algorithm to detect strong conjunctive predicates

  • Authors:
  • Punit Chandra;Ajay D. Kshemkalyani

  • Affiliations:
  • Computer Science Department, University of Illinois at Chicago, Chicago, IL;Computer Science Department, University of Illinois at Chicago, Chicago, IL

  • Venue:
  • Information Processing Letters
  • Year:
  • 2003

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Abstract

This paper presents an on-line distributed algorithm for detection of Definitely(φ) for the class of conjunctive global predicates. The only known algorithm for detection of Definitely(φ) uses a centralized approach. A method for decentralizing the algorithm was also given, but the work load is not fairly distributed and the method uses a hierarchical structure. The centralized approach has a time, space, and total message complexity of O(n2m), where n is the number of processes and m is the maximum number of messages sent by any process. The proposed on-line distributed algorithm uses the concept of intervals rather than events, and assumes p is the maximum number of intervals at any process. The worst-case time complexity across all the processes is O(min(pn2, mn2)). The worst-case space overhead across all the processes is min(2mn2, 2pn2).