Results 31 to 40 of about 47,397 (182)

A Boolean model for conflict-freeness in argumentation frameworks

open access: yesAIMS Mathematics, 2023
The Boolean models of argumentation semantics have been established in various ways. These models commonly translate the conditions of extension-based semantics into some constraints of the models.
Jiachao Wu
doaj   +1 more source

Digital Circuit Design Utilizing Equation Solving over ‘Big’ Boolean Algebras [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2018
A task frequently encountered in digital circuit design is the solution of a two-valued Boolean equation of the form h(X,Y,Z)=1, where h: B_2^(k+m+n)→ B_2 and X,Y, and Z are binary vectors of lengths k, m, and n, representing inputs, intermediary values,
Ali Muhammad Ali Rushdi, Waleed Ahmad
doaj   +1 more source

A SAT Solver and Computer Algebra Attack on the Minimum Kochen-Specker Problem [PDF]

open access: yesInternational Joint Conference on Artificial Intelligence, 2023
One of the fundamental results in quantum foundations is the Kochen–Specker (KS) theorem, which states that any theory whose predictions agree with quantum mechanics must be contextual, i.e., a quantum observation cannot be understood as revealing a pre ...
Zhengyu Li, Curtis Bright, Vijay Ganesh
semanticscholar   +1 more source

Control systems theory revisited: new insights on the brain clocks of time-to-action

open access: yesFrontiers in Neuroscience, 2023
To outline the complex biological rhythms underlying the time-to-action of goal-oriented behavior in the adult brain, we employed a Boolean Algebra model based on Control Systems Theory.
Sari Goldstein Ferber   +3 more
doaj   +1 more source

Free-Boolean independence with amalgamation [PDF]

open access: yesInfinite Dimensional Analysis Quantum Probability and Related Topics, 2017
In this paper, we develop the notion of free-Boolean independence in an amalgamated setting. We construct free-Boolean cumulants and show that the vanishing of mixed free-Boolean cumulants is equivalent to our free-Boolean independence with amalgamation.
Weihua Liu, Ping Zhong
semanticscholar   +1 more source

The Algebraic Sets of Broad Algebras

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
The paper is devoted to the questions of algebraic geometry of universal algebras, more precisely, to the structures of algebraic sets of this algebras. It is introduced the concept of broad universal algebra.
A.G. Pinus
doaj   +1 more source

Conditionally monotone cumulants via shuffle algebra [PDF]

open access: yesInfinite Dimensional Analysis Quantum Probability and Related Topics, 2023
In this work we study conditional monotone cumulants and additive convolution in the shuffle-algebraic approach to non-commutative probability.
Adrian Celestino, K. Ebrahimi-Fard
semanticscholar   +1 more source

De Morgan Functions and Free De Morgan Algebras

open access: yesDemonstratio Mathematica, 2014
It is commonly known that the free Boolean algebra on n free generators is isomorphic to the Boolean algebra of Boolean functions of n variables. The free bounded distributive lattice on n free generators is isomorphic to the bounded lattice of monotone ...
Movsisyan Yu. M.   +2 more
doaj   +1 more source

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