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The pattern introduced in Exercise 17.2.2 can be extended to a transaction that writes new values for n database elements. How many legal sequences of events are there for such a transaction, if the undo-logging rules are obeyed?
Exercise 17.2.2
For each of the sequences of log records representing the actions of one transaction T, tell all the sequences of events that are legal according to the rules of undo logging, where the events of interest are the writing to disk of the blocks containing database elements, and the blocks of the log containing the update and commit records. You may assume that log records are written to disk in the order shown; i.e., it is not possible to write one log record to disk while a previous record is not written to disk.
Call a unary language an arithmetic progression if it is the set { x^(m+ni) } : i >= 0 for some m and n demonstrate that if a unary language is regular , then it is the union of a finite set and a finite number of arithmetic progressions
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