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Computing the Boolean product of two n× n Boolean matrices using O(n^2) mechanical operation
We study the problem of determining the Boolean product of two n× n Bool...
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Prime Clocks
Physical implementations of digital computers began in the latter half o...
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The Complexity of Boolean State Separation (Technical Report)
For a Boolean type of nets τ, a transition system A is synthesizeable in...
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A Method Expanding 2 by 2 Contingency Table by Obtaining Tendencies of Boolean Operators: Boolean Monte Carlo Method
A medical test and accuracy of diagnosis are often discussed with contin...
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Hardware realization of residue number system algorithms by Boolean functions minimization
Residue number systems (RNS) represent numbers by their remainders modul...
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Obesity Heuristic, New Way On Artificial Immune Systems
There is a need for new metaphors from immunology to flourish the applic...
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Generalizing Boolean Satisfiability II: Theory
This is the second of three planned papers describing ZAP, a satisfiabil...
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A Heuristic Approach to Two Level Boolean Minimization Derived from Karnaugh Mapping
The following paper presents a heuristic method by which sum-of-product Boolean expressions can be simplified with a specific focus on the removal of redundant and selective prime implicants. Existing methods, such as the Karnaugh map and the Quine-McCluskey method [1, 2], fail to scale since they increase exponentially in complexity as the quantity of literals increases, doing as such to ensure the solution is algorithmically obtained. By employing a heuristic model, nearly all expressions can be simplified at an overall reduction in computational complexity. This new method was derived from the fundamental Boolean laws, Karnaugh mapping, as well as truth tables.
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