Quaternary Boolean Algebra and Function Composition

Zensho NAKAO

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Zensho NAKAO, "Quaternary Boolean Algebra and Function Composition" in IEICE TRANSACTIONS on transactions, vol. E68-E, no. 11, pp. 745-746, November 1985, doi: .
Abstract: Let L{0, α, β, 1} and endow it with a lattice structure (, +, ・) and complementation ( ^- ), making (L;, +, ・, ^-) a four-element Boolean algebra. A new method of representing arbitrary logic functions via function composition is introduced, and a minimal complete system for such representation is obtained.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e68-e_11_745/_p

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@ARTICLE{e68-e_11_745,
author={Zensho NAKAO, },
journal={IEICE TRANSACTIONS on transactions},
title={Quaternary Boolean Algebra and Function Composition},
year={1985},
volume={E68-E},
number={11},
pages={745-746},
abstract={Let L{0, α, β, 1} and endow it with a lattice structure (, +, ・) and complementation ( ^- ), making (L;, +, ・, ^-) a four-element Boolean algebra. A new method of representing arbitrary logic functions via function composition is introduced, and a minimal complete system for such representation is obtained.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - Quaternary Boolean Algebra and Function Composition
T2 - IEICE TRANSACTIONS on transactions
SP - 745
EP - 746
AU - Zensho NAKAO
PY - 1985
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E68-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1985
AB - Let L{0, α, β, 1} and endow it with a lattice structure (, +, ・) and complementation ( ^- ), making (L;, +, ・, ^-) a four-element Boolean algebra. A new method of representing arbitrary logic functions via function composition is introduced, and a minimal complete system for such representation is obtained.
ER -