 By Raihan Al-Ekram, Archana Adma, Olga Baysal

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This is often the second one variation of a hugely capable e-book which has offered approximately 3000 copies all over the world considering its booklet in 1997. Many chapters could be rewritten and increased because of loads of growth in those parts because the e-book of the 1st version. Bernard Silverman is the writer of 2 different books, every one of which has lifetime revenues of greater than 4000 copies.

Extra info for diffX - An Algorithm to Detect Changes in Multi-Version XML Documents

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Proof Construct a Turing machine Mr with k tapes in a similar manner as in the previous theorem, such that each symbol of the tape alphabet of Mr is an r-tuple (which we shall call block) of symbols of the alphabet of M, and some of the states of Mr encode tuples (q, i I , ... , i k ), where q is a state of M and 1 ~ im ~ r. Here a difference arises with the tape compression theorem, since Mr needs other types of states to perform other computations, as described below. Configurations of M correspond to configurations of Mr as in the tape compression theorem.

2. We use the following notation for it. Notation. 2 will be abridged to guess y with Iyl ::; i. 2 Meaning of guess y with Iyl ~ i The computation tree of a nondeterministic machine on input W could be an infinite tree. However, any accepting path must be a finite path, since it ends in a final, accepting configuration. We will use this fact later as follows: if we know that a machine must accept within a given, previously known number of steps, say t, then every computation longer than this number can be aborted, since this computation cannot be the computation accepting in t steps.

As a concrete example, r may be translated into {O,I}*. Then each machine is codified as a string over {O, I}, and the set of all encodings of machines will form a language over {O, I}. Thus, according to the remarks made in the first section of this chapter, to each machine correspond an integer, and to some integers corresponds a machine. Furthermore, the machine can be recovered easily from the integer. This process is known as a godelization of Turing machines, and the number corresponding to each machine is its Godel number.