k -Immediate Snapshot and x -Set Agreement: How Are They Related?

An immediate snapshot object is a high level communication object, built on top of a read/write distributed system in which all except one processes may crash. This object provides the processes with a single operation, denoted \(\mathsf{write\_snapshot}()\), which allows the invoking process to write a value and obtain a set of pairs \(\langle \)process id, value\(\rangle \) satisfying some set containment properties, that represent a snapshot of the values written to the object, occurring immediately after the write step.