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This book investigates theoretical aspects of system models for agreement problems in faulttolerant distributed computing. A distributed system is a collection of processes that communicate with each other by sending messages over a network. Achieving agreement among these processes despite failures is a difficult but important problem. Care must be taken when choosing a system model as a too restrictive model will be applicable to very few systems, whereas too relaxed assumptions might severely reduce the set of problems that can be solved. Part I of this book provides an introduction to the context of this work, discusses related literature and describes the basic system assumptions. Part II introduces the Asynchronous BoundedCycle model which is entirely timefree but nevertheless sufficient to solve faulttolerant consensus despite Byzantine faults. Part III presents an indepth treatment of algorithms and models for solving the kset agreement problem which requires processes to agree on at most k distinct values.
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