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Partial Boolean Functions With Exact Quantum Query Complexity One [PDF]
We provide two sufficient and necessary conditions to characterize any n-bit partial Boolean function with exact quantum query complexity 1. Using the first characterization, we present all n-bit partial Boolean functions that depend on n bits and can be
Guoliang Xu, Daowen Qiu
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On the Classes of Boolean Functions Generated by Maximal Partial Ultraclones
The sets of multifunctions are considered. A multifunction on a finite set $A$ is a function defined on the set $A$ and taking its subsets as values. Obviously, superposition in the usual sense does not work when working with multifunctions.
S.A. Badmaev
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Objectives. The problem of circuit implementation of incompletely specified (partial) k-valued logic functions given by tabular representations is considered.
P. N. Bibilo
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Introduction. The application of binary-reflected (mirror, reflexive) Gray codes for solving combinatorial problems with pseudo-Boolean functions (polynomials from Boolean variables) is considered.
Oleksandr Trofymchuk +4 more
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A heuristic method for bi-decomposition of partial Boolean functions
The problem of decomposition of a Boolean function is to represent a given Boolean function in the form of a superposition of some Boolean functions whose number of arguments are less than the number of given function.
Yu. V. Pottosin
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The complexity of pseudo-Kronecker and free-Kronecker forms of functions over finite fields
An approach enabling partial generalization of the Green–Sasao hierarchy for polynomial forms of Boolean functions to the case of an arbitrary finite field was introduced.
A.S. Baliuk
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Advances and Challenges for Model and Data Engineering [PDF]
Following the stimulating discussions in the workshops held during the 9th International Conference on Model and Data Engineering (MEDI 2019), we proposed to edit a special issue compiling the fruitful research resulting from those discussions.
Christian Attiogbé +2 more
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Decomposability of partially defined Boolean functions
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Boros, Endre +4 more
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Boolean Differentiation Equations Applicable in Reconfigurable Computational Medium
High performance computing environment synthesis with parallel architecture reconstructing throughout the process itself is described. Synthesized computational medium involving Boolean differential equation calculations so as to function in real-time ...
Shidlovskiy Stanislav
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Background One of the most prevalent complications of Partial Nephrectomy (PN) is Acute Kidney Injury (AKI), which could have a negative impact on subsequent renal function and occurs in up to 24.3% of patients undergoing PN. The aim of this study was to
Teddy Lazebnik +3 more
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