Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synthesis of Majority Expressions through Primitive Function
  Manipulation   Due to technology advancements and circuits miniaturization, the study of
logic systems that can be applied to nanotechnology has been progressing
steadily. Among the creation of nanoeletronic circuits reversible and majority
logic stand out. This paper proposes the MPC (Majority Primitives Combination)
algorithm, used for majority logic synthesis. The algorithm receives a truth
table as input and returns a majority function that covers the same set of
minterms. The formulation of a valid output function is made with the
combination of previously optimized functions. As cost criteria the algorithm
searches for a function with the least number of levels, followed by the least
number of gates, inverters, and gate inputs. In this paper it's also presented
a comparison between the MPC and the exact_mig, currently considered the best
algorithm for majority synthesis. The exact_mig encode the exact synthesis of
majority functions using the number of levels and gates as cost criteria. The
MPC considers two additional cost criteria, the number of inverters and the
number of gate inputs, with the goal to further improve exact_mig results.
Tests have shown that both algorithms return optimal solutions for all
functions with 3 input variables. For functions with 4 inputs, the MPC is able
to further improve 42,987 (66%) functions and achieves equal results for 7,198
(11%). For functions with 5 input variables, out of a sample of 1,000 randomly
generated functions, the MPC further improved 477 (48%) functions and achieved
equal results for 112 (11%).

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The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol