Characterizing distributed systems using knowledge-based models: preliminary version

  • Authors:
  • Deborah Shands;Chung-Kuo Chang

  • Affiliations:
  • The Ohio State University, Columbus, OH;AT&T Bell Laboratories, Columbus, OH

  • Venue:
  • TARK '92 Proceedings of the 4th conference on Theoretical aspects of reasoning about knowledge
  • Year:
  • 1992

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Abstract

We study a formal method for comparing distributed systems with respect to their abilities to solve various problems. To this end, we introduce a knowledge-based propositional modal language for axiomatically characterizing distributed systems and problems. Given a specification in the language, we show how to build a Kripke model so that a formula is true in the model exactly when it is provable using the axioms which specify the system. The models help us to formalize the description of the global observer's view of a system and show the effects of the global view on our ability to compare systems. An example shows that two distributed systems, running different protocols, are identical when the global view is restricted to a particular set of formulas, extracted from a problem specification. Under the unrestricted view, however, these systems appear quite different. We can generalize our comparisons by using a particular type of graph reduction between models to establish a relationship between seemingly dissimilar systems.