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Author: Grafiati
Published: 25 May 2024

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1

Lladser, Manuel E., Robert S. Maier, Marni Mishna, and Andrew Rechnitzer, eds. Algorithmic Probability and Combinatorics. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/conm/520.

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2

Melczer, Stephen. Algorithmic and Symbolic Combinatorics. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67080-1.

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3

Can, Mahir, Zhenheng Li, Benjamin Steinberg, and Qiang Wang, eds. Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0938-4.

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4

Pillwein, Veronika, and Carsten Schneider, eds. Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44559-1.

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5

Klin, Mikhail, Gareth A. Jones, Aleksandar Jurišić, Mikhail Muzychuk, and Ilia Ponomarenko, eds. Algorithmic Algebraic Combinatorics and Gröbner Bases. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01960-9.

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6

Algorithmic algebraic combinatorics and Gröbner bases. Heidelberg: Springer, 2009.

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7

Calude, Cristian S. Information and Randomness: An Algorithmic Perspective. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002.

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8

Habib, Michel. Probabilistic Methods for Algorithmic Discrete Mathematics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998.

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9

Longueville, Mark. A Course in Topological Combinatorics. New York, NY: Springer New York, 2013.

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10

Linda, Pagli, and Steel Graham 1977-, eds. Mathematical and algorithmic foundations of the internet. Boca Raton, Fla: Chapman & Hall/CRC Press, 2011.

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11

Nonlinear discrete optimization: An algorithmic theory. Zürich, Switzerland: European Mathematical Society Publishing House, 2010.

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12

Colored operads. Providence, Rhode Island: American Mathematical Society, 2016.

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13

Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics. Springer, 2014.

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14

Wang, Qiang, Benjamin Steinberg, Mahir Can, and Zhenheng Li. Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics. Springer London, Limited, 2014.

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15

Wang, Qiang, Benjamin Steinberg, Mahir Can, and Zhenheng Li. Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics. Springer, 2016.

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16

Algorithmic Combinatorics on Partial Words. Chapman & Hall/CRC, 2007.

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17

Blanchet-Sadri, Francine. Algorithmic Combinatorics on Partial Words. Taylor & Francis Group, 2007.

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18

Blanchet-Sadri, Francine. Algorithmic Combinatorics on Partial Words. Taylor & Francis Group, 2007.

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19

Blanchet-Sadri, Francine. Algorithmic Combinatorics on Partial Words. Taylor & Francis Group, 2007.

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20

Blanchet-Sadri, Francine. Algorithmic Combinatorics on Partial Words. Taylor & Francis Group, 2019.

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21

Jones, Gareth A., Mikhail Klin, Ilia Ponomarenko, Aleksandar Jurisic, and Mikhail Muzychuk. Algorithmic Algebraic Combinatorics and Gröbner Bases. Springer, 2014.

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22

Algorithmic Algebraic Combinatorics and Gröbner Bases. Springer, 2009.

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23

Melczer, Stephen. Algorithmic and Symbolic Combinatorics: An Invitation to Analytic Combinatorics in Several Variables. Springer International Publishing AG, 2020.

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24

Schneider, Carsten, and Veronika Pillwein. Algorithmic Combinatorics : Enumerative Combinatorics, Special Functions and Computer Algebra: In Honour of Peter Paule on His 60th Birthday. Springer International Publishing AG, 2021.

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25

Schneider, Carsten, and Veronika Pillwein. Algorithmic Combinatorics : Enumerative Combinatorics, Special Functions and Computer Algebra: In Honour of Peter Paule on his 60th Birthday. Springer, 2020.

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26

Algorithmic Probability And Combinatorics Ams Special Sessions On Algorithmic Probability And Combinatorics October 56 2007 Depaul University Chicago Illinois Ams Special Session October 45 2008 University Of British Columbia Vancouver Bc Canada. American Mathematical Society(RI), 2010.

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27

Kolmogorov Complexity and Algorithmic Randomness. American Mathematical Society, 2017.

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28

Downey, Rod, and Noam Greenberg. A Hierarchy of Turing Degrees. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691199665.001.0001.

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Abstract:
Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of mathematics, with applications in topology, group theory, and other subfields. This book introduces a new hierarchy that allows them to classify the combinatorics of constructions from many areas of computability theory, including algorithmic randomness, Turing degrees, effectively closed sets, and effective structure theory. This unifying hierarchy gives rise to new natural definability results for Turing degree classes, demonstrating how dynamic constructions become reflected in definability. The book presents numerous construction techniques involving high-level nonuniform arguments, and their self-contained work is appropriate for graduate students and researchers. Blending traditional and modern research results in computability theory, the book establishes novel directions in the field.
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