The present invention provides techniques for storing local versions counting of a data set. A first number that indicates how many local versions of the data set are to be stored in local storage given an amount of available local storage is received. It is determined whether a second number that indicates a total number of local versions of the data set that the local storage is capable of storing exceeds the first number. In response to determining that the second number exceeds the first number, the amount of local storage that is capable of storing the first number of local versions of the data set is used.