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Decomposition of Boolean functions

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Lattice Functions and Equations

Part of the book series: Discrete Mathematics and Theoretical Computer Science ((DISCMATH))

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Abstract

The synthesis problem in switching theory, that is, th e problem of designing a circuit from given building blocks, has led since the 1950s to an extensive study of the decomposition of truth functions (usually referred to as Boolean functions). Roughly speaking, this problem consists in expressing an arbitrary truth function by means of other (convenient) truth functions. In BFE, Chapter 16, ยง1, we have reported a few methods and results in this line of research. We strongly suggest that this field deserves a separate monograph.

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ยฉ 2001 Springer-Verlag London

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Rudeanu, S. (2001). Decomposition of Boolean functions. In: Lattice Functions and Equations. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0241-0_11

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  • DOI: https://doi.org/10.1007/978-1-4471-0241-0_11

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-266-2

  • Online ISBN: 978-1-4471-0241-0

  • eBook Packages: Springer Book Archive

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