Method and apparatus for compressing an input string to...

Coded data generation or conversion – Digital code to digital code converters – To or from code based on probability

Reexamination Certificate

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C341S050000

Reexamination Certificate

active

07081839

ABSTRACT:
A method and apparatus are disclosed that compress an input string to an equivalent word relative to a noncommutation graph. The disclosed compression system compresses an input string in a manner that an equivalent string is produced upon decompression. The disclosed compression algorithms are based upon normal forms. First, a normal form of the interchange class is produced containing the source output string. Thereafter, a grammar-based lossless data compression scheme (or another compression scheme) is applied to the normal form. Upon decompression, the compressed string produces an equivalent string. A normal form generation process is employed to compute the lexicographic normal form or the Foata normal form of an interchange class from one of its members, using only a single pass over the data.

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patent: 6801141 (2004-10-01), Yang et al.
patent: 2003/0130855 (2003-07-01), Babu et al.
patent: WO 03/021864 (2002-09-01), None
Drinić et al., “PPMexe: PPM for Compressing Software,” Proc. IEEE Data Comp. Conf., 192-201, Snowbird, UT (Mar. 2002).
S.A. Savari, “Compression of Words Over A Partially Commutative Alphabet,” Information Sciences (IS) Seminar, Cal. Tech. (Aug. 27, 2003).
S.A. Savari, “On Compressing Interchange Classes of Events in a Concurrent System,” Proc. of IEEE Data Compression Conference, Snowbird, Utah (Mar. 2003).
D. Perrin, “Words Over a Partially Commutative Alphabet”, in A. Apostolico and Z. Galil, ed., Combinatorial Algorithms on Words, NATO ASI Series, vol. F12, pp. 329-340, (Springer, Berlin, 1985), no month.

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