Abstract
Boolean (or switching) functions map each sequence of bits to a single bit 0 or 1. Bit 0 is usually interpreted as “false”, and bit 1 as “true”. The simplest of such functions are the product\(\rm{x\cdot y}\), sum\(\rm{x\oplus y}\) mod 2, non-exclusive Or \({x\vee y}\), negation \(\neg x=1-x\) The central problem of boolean function complexity—the lower bounds problem—is:
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© 2012 Springer-Verlag Berlin Heidelberg
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Jukna, S. (2012). Our Adversary: The Circuit. In: Boolean Function Complexity. Algorithms and Combinatorics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24508-4_1
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DOI: https://doi.org/10.1007/978-3-642-24508-4_1
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24507-7
Online ISBN: 978-3-642-24508-4
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