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The Asynchronous Bounded-Cycle model.

Peter Robinson¹, Ulrich Schmid

¹Technische Universität Wien, Embedded Computing Systems Group (E182/2), Treitlstrasse 1-3, A-1040 Vienna, Austria.

Theoretical Computer Science

|October 28, 2011

Summary

This summary is machine-generated.

This paper introduces the Asynchronous Bounded-Cycle (ABC) model, enabling synchrony conditions in asynchronous systems without explicit message delays. This model ensures correct implementation of clock synchronization and lock-step rounds, even with Byzantine failures.

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Area of Science:

Computer Science
Distributed Systems

Background:

Purely asynchronous models lack explicit synchrony conditions.
Existing models often rely on message delays or system-wide constraints.

Purpose of the Study:

Introduce a novel Asynchronous Bounded-Cycle (ABC) model.
Incorporate synchrony conditions into asynchronous systems without referencing message delays or system-wide constraints.

Main Methods:

Bounding the ratio of forward- and backward-oriented messages in relevant cycles.
Applying a novel message delay assignment method based on Farkas' theorem and graph cycle spaces.
Utilizing point-set topology to prove model indistinguishability for time-free properties.

Main Results:

Demonstrated correct implementation and proof of clock synchronization and lock-step rounds in the ABC model, including Byzantine failures.
Proved that algorithms correct in the partially synchronous Θ-Model are also correct in the ABC model.
Introduced weaker ABC model variants and related the model to existing partially synchronous systems.

Conclusions:

The ABC model provides a viable framework for achieving synchrony in asynchronous distributed systems.
The model offers applicability in real-world systems, such as VLSI Systems-on-Chip.
The ABC model advances the understanding of synchrony and asynchrony in distributed computing.