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Automated Deduction in Multiple-valued Logics
1994Abstract This book constitutes a self-contained and unified approach to automated reasoning in multiple-valued logics (MVL) developed by the author. Moreover, it contains a virtually complete account of other approaches to automated reasoning in MVL. This is the first overview of this subfield of automated reasoning ever given.
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Low-energy logic circuit techniques for multiple valued logic
Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96), 2002Multiple valued logic (MVL) has been proposed as a means for reducing the power, improving the speed, and increasing the packing density of VLSI circuits. These performance improvements are achieved by designers who identify signal processing functions that can benefit from the design tradeoffs possible with MVL.
K. Wayne Current +2 more
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Multiple-Valued Logic Minimization
1984As discussed in Chapter 1, many multiple-valued input logic functions can be implemented very efficiently in PLA’s with two-bit input decoders. Hence multiple-valued logic minimization is of great practical importance [FLE 75]. A two-bit decoder pairs two Boolean variables, say x1 and x2, and generates four decodes $$ \begin{array}{*{20}{c}} {{{x}_{
Robert K. Brayton +3 more
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Multiple-Valued Logic For Optoelectronics
Optical Engineering, 1986Recent advances in optical bistability in a variety of materials and devices offer the potential for high speed operation over extended ranges of wavelength and temperature. The advantages of optoelec-tronic devices and multiple-valued logic are combined in various multistable solid-state device techniques, of which negative resistance multistability ...
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Logic expressions of monotonic multiple-valued functions
Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96), 2002This paper presents some fundamental properties of multiple-valued logic functions monotonic with respect to a partial-ordering relation which is introduced in the set of truth values and does not necessarily have the greatest or least element. Two kinds of necessary and sufficient conditions for monotonic p-valued functions are given with the proofs ...
Kyoichi Nakashima +2 more
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Signed formulas: A liftable meta-logic for multiple-valued logics
1993We consider means for adapting classical deduction techniques to multiple-valued logics. Some recent work in this area, including our own, utilizes signs (subsets of the set of truth values). In this paper we develop a language of signed formulas that may be interpreted as a meta-level logic. Questions not expressible in the underlying logic are easily
Neil V. Murray, Erik Rosenthal
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Empirical plausible reasoning by multiple-valued logic
2005A method to approximate the heuristic reasoning of an expert in judging the behaviour of a system is proposed. The method is based on the use of label functions, mapping the observed value of one attribute into a local judgment, and of multiple-valued logic trees, mapping a set of local judgements into a global one.
Paolo Bottoni, Luca Mari, Piero Mussio
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A multiple-valued logic approach for multigranulation rough set model
International Journal of Approximate Reasoning, 2017Yanhong She +3 more
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A Multiple-Valued Logic for Implementing a Random Oracle and the Position-Based Cryptography
Journal of Russian Laser Research, 2019A. Bykovsky
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Reliability analysis of multi-state system with application of multiple-valued logic
, 2017E. Zaitseva, V. Levashenko
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