%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/

%% Created for James Mitchell at 2024-02-01 14:50:47 +0000 

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@inbook{Carnino2011,
	title = {Random Generation of Deterministic Acyclic Automata Using Markov Chains},
	isbn = {9783642222566},
	issn = {1611-3349},
	url = {http://doi.org/10.1007/978-3-642-22256-6_7},
	doi = {10.1007/978-3-642-22256-6_7},
	booktitle = {Implementation and Application of Automata},
	publisher = {Springer Berlin Heidelberg},
	author = {Carnino,  Vincent and De Felice,  Sven},
	year = {2011},
	pages = {65--75}
}

@techreport{Hop71,
	author = {Hopcroft, John E. and Karp, R. M.},
	title = {A linear algorithm for testing equivalence of finite automata},
	journal = {Technical Report 114, Cornell University},
	url = {https://hdl.handle.net/1813/5958},
	month = {12},
	year = {1971}
}

@article{Gab00,
	author = {Harold N. Gabow},
	doi = {10.1016/S0020-0190(00)00051-X},
	issn = {0020-0190},
	journal = {Information Processing Letters},
	keywords = {Algorithms},
	number = {34},
	pages = {107--114},
	title = {Path-based depth-first search for strong and biconnected
	         components},
	url = {https://www.sciencedirect.com/science/article/pii/S002001900000051X},
	volume = {74},
	year = {2000}
}

@misc{Anagnostopoulou-Merkouri2023aa,
	author = {Anagnostopoulou-Merkouri, Marina and Mitchell, James D. and Tsalakou, Maria},
	copyright = {arXiv.org perpetual, non-exclusive license},
	date-added = {2024-02-01 14:50:42 +0000},
	date-modified = {2024-02-01 14:50:42 +0000},
	doi = {10.48550/ARXIV.2302.06295},
	keywords = {Rings and Algebras (math.RA), Data Structures and Algorithms (cs.DS), FOS: Mathematics, FOS: Mathematics, FOS: Computer and information sciences, FOS: Computer and information sciences, 20M20},
	publisher = {arXiv},
	title = {Computing the congruences of a finite semigroup or monoid},
	url = {https://arxiv.org/abs/2302.06295},
	year = {2023},
	bdsk-url-2 = {https://doi.org/10.48550/ARXIV.2302.06295}
}

@article{Abram2022aa,
	author = {Abram, A. and Reutenauer, C.},
	doi = {10.1007/s00233-022-10285-3},
	journal = {Semigroup Forum},
	number = 1,
	pages = {1--45},
	title = {The stylic monoid},
	volume = 105,
	year = 2022,
	url = {https://doi.org/10.1007/s00233-022-10285-3}
}

@article{Aho1975aa,
	title = {Efficient string matching: an aid to bibliographic search},
	volume = {18},
	issn = {0001-0782, 1557-7317},
	url = {https://dl.acm.org/doi/10.1145/360825.360855},
	doi = {10.1145/360825.360855},
	shorttitle = {Efficient string matching},
	abstract = {This paper describes a simple, efficient algorithm to locate all occurrences of any of a finite number of keywords in a string of text. The algorithm consists of constructing a finite state pattern matching machine from the keywords and then using the pattern matching machine to process the text string in a single pass. Construction of the pattern matching machine takes time proportional to the sum of the lengths of the keywords. The number of state transitions made by the pattern matching machine in processing the text string is independent of the number of keywords. The algorithm has been used to improve the speed of a library bibliographic search program by a factor of 5 to 10.},
	pages = {333--340},
	number = {6},
	journaltitle = {Communications of the {ACM}},
	author = {Aho, Alfred V. and Corasick, Margaret J.},
	urldate = {2024-03-26},
	date = {1975-06},
	langid = {english}
}

@article{Aizenstat1958aa,
	author = {Aizenstat, A.},
	journal = {Mat. Sb. N.S.},
	language = {Russian},
	number = 87,
	pages = {261--280},
	title = {Defining relations of finite symmetric semigroups},
	volume = 45
}

@article{Aizenstat1962aa,
	author = {Aizenstat, A.},
	journal = {Sibirsk. Mat. Z.},
	pages = {9--11},
	title = {Generating relations of an endomorphism semigroup of a finite linearly ordered chain},
	volume = 2,
	year = 1962
}

@article{Arthur2000aa,
	author = {Arthur, Robert E. and Ru{\v{s}}kuc, N.},
	doi = {10.1007/s10012-000-0001-1},
	journal = {Southeast Asian Bulletin of Mathematics},
	number = 1,
	pages = {1--7},
	title = {Presentations for Two Extensions of the Monoid of Order-Preserving Mappings on a Finite Chain},
	volume = 24,
	year = 2000,
	url = {https://doi.org/10.1007/s10012-000-0001-1}
}

@article{Ayik2000aa,
	author = {Ayik, H. and Campbell, C. M. and O'Connor, J. J. and Ruskuc, N.},
	doi = {10.1007/s002339910016},
	journal = {Semigroup Forum},
	number = 2,
	pages = {231--242},
	title = {Minimal Presentations and Efficiency of Semigroups},
	volume = 60,
	year = 2000,
	url = {https://doi.org/10.1007/s002339910016}
}

@book{Burnside2012aa,
	author = {Burnside, William},
	doi = {10.1017/cbo9781139237253.023},
	publisher = {Cambridge University Press},
	title = {Theory of Groups of Finite Order},
	year = 2012,
	url = {https://doi.org/10.1017/cbo9781139237253.023}
}

@article{Campbell1994aa,
	author = {Colin M. Campbell and Edmund F. Robertson and Nikola Ru{\v{s}}kuc and Richard M. Thomas},
	doi = {10.1016/0022-4049(94)90005-1},
	journal = {Journal of Pure and Applied Algebra},
	number = 1,
	pages = {49--57},
	title = {Fibonacci semigroups},
	url = {https://doi.org/10.1016/0022-4049(94)90005-1},
	volume = 94,
	year = 1994
}

@article{Cassaigne2001aa,
	author = {Cassaigne, Julien and Espie, Marc and Krob, Daniel and Novelli, Jean-Christophe and Hivert, Florent},
	doi = {10.1142/s0218196701000425},
	journal = {International Journal of Algebra and Computation},
	number = {03},
	pages = {301--334},
	title = {The Chinese monoid},
	url = {https://doi.org/10.1142/S0218196701000425},
	volume = 11,
	year = 2001
}

@misc{Coleman2022aa,
	author = {T. D. H. Coleman and J. D. Mitchell and F. L. Smith and M. Tsalakou},
	eprint = {arXiv:2203.11148},
	url = {https://arxiv.org/abs/2203.11148},
	title = {The Todd-Coxeter Algorithm for Semigroups and Monoids},
	year = 2022
}

@book{Coxeter1979aa,
	author = {Coxeter, H. S. M. and Moser, W. O. J.},
	publisher = {Springer-Verlag},
	title = {Generators and relators for discrete groups},
	year = 1979
}

@misc{DeBeule2024aa,
	author = { Jan De Beule and
	          Julius Jonušas and
	          James D. Mitchell and
	          Michael Torpey and
	          Maria Tsalakou and
	          Wilf A. Wilson },
	title = { Digraphs - {GAP} package, Version 1.9.0 },
	month = { 09 },
	year = { 2024 },
	url = { https://digraphs.github.io/Digraphs }
}
@manual{Mitchell2025aa,
	author = { Mitchell, J. D. and others },
	month = { Feb },
	title = { Semigroups - {GAP} package, Version 5.5.0 },
	doi = { 10.5281/zenodo.592893 },
	url = { http://dx.doi.org/10.5281/zenodo.592893 },
	year = { 2025 }
}

@misc{Easdown2007aa,
	author = {Easdown, David and East, James and FitzGerald, D. G.},
	doi = {10.48550/arxiv.0707.2439},
	publisher = {arXiv},
	title = {A Presentation for the Dual Symmetric Inverse Monoid},
	year = 2007,
	url = {https://doi.org/10.48550/arxiv.0707.2439}
}

@article{East2011aa,
	author = {East, James},
	doi = {10.1016/j.jalgebra.2011.04.008},
	issn = {0021-8693},
	journal = {Journal of Algebra},
	number = 1,
	pages = {1--26},
	title = {Generators and relations for partition monoids and algebras},
	volume = 339,
	year = 2011,
	url = {https://doi.org/10.1016/j.jalgebra.2011.04.008}
}

@article{East2022aa,
	author = {East, James},
	doi = {10.1093/qmath/haab001},
	journal = {The Quarterly Journal of Mathematics},
	month = {02},
	number = 4,
	pages = {1253--1269},
	title = {{Presentations for Temperley--Lieb Algebras}},
	url = {https://doi.org/10.1093/qmath/haab001},
	volume = 72,
	year = 2021
}

@misc{Fernandes2022aa,
	author = {Fernandes, Vitor Hugo},
	doi = {10.48550/ARXIV.2211.02155},
	published = {arXiv},
	title = {On the cyclic inverse monoid on a finite set},
	year = 2022,
	url = {https://doi.org/10.48550/ARXIV.2211.02155}
}

@misc{Fernandes2022ab,
	author = {Fernandes, V{\'\i}tor H. and Paulista, T{\^a}nia},
	doi = {10.48550/ARXIV.2205.02196},
	published = {arXiv},
	title = {On the monoid of partial isometries of a cycle graph},
	year = 2022,
	url = {https://doi.org/10.48550/ARXIV.2205.02196}
}

@article{FitzGerald2003aa,
	author = {FitzGerald, D.G.},
	doi = {10.1017/s0004972700037692},
	journal = {Bulletin of the Australian Mathematical Society},
	number = 2,
	pages = {317--324},
	title = {A presentation for the monoid of uniform block permutations.},
	volume = 68,
	year = 2003,
	url = {https://doi.org/10.1017/s0004972700037692}
}

@book{Ganyushkin2009aa,
	author = {Ganyushkin, Olexandr and Mazorchuk, Volodymyr},
	doi = {10.1007/978-1-84800-281-4},
	publisher = {Springer London},
	title = {Classical Finite Transformation Semigroups},
	year = 2009,
	url = {https://doi.org/10.1007/978-1-84800-281-4}
}

@article{Guralnick2008aa,
	author = {Guralnick, R. M and Kantor, W. M and Kassabov, M. and Lubotzky, A.},
	doi = {10.1090/S0894-0347-08-00590-0},
	journal = {Journal of the American Mathematical Society},
	pages = {711--774},
	title = {Presentations of finite simple groups: A quantitative approach},
	volume = 21,
	year = 2008,
	url = {https://doi.org/10.1090/S0894-0347-08-00590-0}
}

@phdthesis{Havas1999iy,
	author = {Havas, George and Ramsay, Colin},
	date-added = {2021-11-04 16:19:14 +0000},
	date-modified = {2021-11-04 16:20:42 +0000},
	keywords = {version 3},
	school = {University of Queensland},
	title = {Coset enumeration: ACE},
	year = 1999
}

@article{Knuth1970aa,
	author = {Knuth, Donald E.},
	doi = {10.2140/pjm.1970.34.709},
	journal = {Pacific Journal of Mathematics},
	number = 3,
	pages = {709--727},
	title = {Permutations, Matrices, and Generalised Young Tableaux},
	volume = 34,
	year = 1970,
	url = {https://doi.org/10.2140/pjm.1970.34.709}
}

@article{Kudryavtseva2006aa,
	author = {Kudryavtseva, Ganna and Mazorchuk, Volodymyr},
	doi = {10.2478/s11533-006-0017-6},
	issue = 3,
	journal = {Central European Journal of Mathematics},
	title = {On presentations of Brauer-type monoids},
	volume = 4,
	year = 2007,
	url = {https://doi.org/10.2478/s11533-006-0017-6}
}

@incollection{Lascoux1981aa,
	author = {Lascoux, Alain and Sch\"{u}tzenberger, Marcel-P.},
	booktitle = {Noncommutative structures in algebra and geometric combinatorics ({N}aples, 1978)},
	pages = {129--156},
	publisher = {CNR, Rome},
	series = {Quad. ``Ricerca Sci.''},
	title = {Le mono\"{i}de plaxique},
	volume = {109},
	year = 1981
}

@article{Maltcev2007aa,
	author = {Maltcev, Victor and Mazorchuk, Volodymyr},
	doi = {10.21136/mb.2007.134125},
	issue = 3,
	journal = {Mathematica Bohemica},
	title = {Presentation of the singular part of the Brauer monoid},
	volume = 132,
	year = 2007,
	url = {https://doi.org/10.21136/mb.2007.134125}
}

@misc{Martin2011aa,
	title = {Partitioned binary relations},
	author = {Paul Martin and Volodymyr Mazorchuk},
	year = {2011},
	eprint = {1102.0862},
	archiveprefix = {arXiv},
	primaryclass = {math.RT},
	url = {https://arxiv.org/abs/1102.0862}
}

@article{Mitchell2023aa,
	author = {Mitchell, James D. and Tsalakou, Maria},
	title = {An explicit algorithm for normal forms in small overlap monoids},
	journal = {Journal of Algebra},
	volume = {630},
	year = {2023},
	doi = {10.1016/j.jalgebra.2023.04.019},
	url = {https://doi.org/10.1016/j.jalgebra.2023.04.019},
	pages = {394--433},
	publisher = {Elsevier BV}
}

@article{Kambites2009aa,
	author = {Kambites, Mark},
	date-added = {2021-03-09 15:23:00 +0000},
	date-modified = {2021-03-09 15:24:18 +0000},
	doi = {10.1016/j.jalgebra.2008.09.038},
	fjournal = {Journal of Algebra},
	issn = {0021-8693},
	journal = {J. Algebra},
	mrclass = {20m05 (03d40)},
	mrnumber = 2501517,
	mrreviewer = {Noelle C. Antony},
	number = 8,
	pages = {2187--2205},
	title = {Small overlap monoids. {I}. {T}he word problem},
	url = {http://dx.doi.org/10.1016/j.jalgebra.2008.09.038},
	volume = 321,
	year = 2009,
	bdsk-url-1 = {http://www.ams.org/mathscinet-getitem?mr=2501517},
	bdsk-url-2 = {http://dx.doi.org/10.1016/j.jalgebra.2008.09.038}
}

@article{Kambites2009ab,
	author = {Kambites, Mark},
	date-added = {2021-03-09 15:23:00 +0000},
	date-modified = {2021-03-09 15:24:17 +0000},
	doi = {10.1016/j.jalgebra.2008.12.028},
	fjournal = {Journal of Algebra},
	issn = {0021-8693},
	journal = {J. Algebra},
	mrclass = {20m05 (20m35 68q45)},
	mrnumber = 2501522,
	mrreviewer = {Noelle C. Antony},
	number = 8,
	pages = {2302--2316},
	title = {Small overlap monoids. {II}. {A}utomatic structures and normal forms},
	url = {http://dx.doi.org/10.1016/j.jalgebra.2008.12.028},
	volume = 321,
	year = 2009,
	bdsk-url-1 = {http://www.ams.org/mathscinet-getitem?mr=2501522},
	bdsk-url-2 = {http://dx.doi.org/10.1016/j.jalgebra.2008.12.028}
}

@misc{Gay1999aa,
	author = {Gay, Jo{\"e}l and Hivert, Florent},
	month = {10},
	title = {The 0-Rook Monoid and its Representation Theory},
	url = {https://doi.org/10.48550/arXiv.1910.11740},
	year = 2019
}

@misc{Godelle2009aa,
	author = {Godelle, Eddy},
	doi = {10.48550/arxiv.0904.0926},
	title = {A note on Renner monoids},
	url = {https://arxiv.org/abs/0904.0926},
	year = 2009,
	bdsk-url-2 = {https://doi.org/10.48550/arxiv.0904.0926}
}

@article{Gilman1979,
	author = {Robert H Gilman},
	journal = {Journal of Algebra},
	month = {4},
	number = 2,
	pages = {544--554},
	title = {Presentations of groups and monoids},
	volume = 57,
	year = 1979
}

@book{Holt2005aa,
	author = {Holt, Derek F. and Eick, Bettina and O'Brien, Eamonn A.},
	title = {Handbook of Computational Group Theory},
	doi = {10.1201/9781420035216},
	url = {https://doi.org/10.1201/9781420035216},
	year = 2005,
	edition = {1st},
	publisher = {CRC}
}

@misc{Holt2018aa,
	author = {Holt, Derek F.},
	month = {07},
	title = {kbmag -- {GAP} package, {V}ersion 1.5.9},
	year = 2019,
	url = {https://gap-packages.github.io/kbmag/}
}

@book{Jantzen2012aa,
	author = {Jantzen, Matthias},
	date-added = {2019-12-20 14:27:56 +0000},
	date-modified = {2019-12-20 14:28:00 +0000},
	publisher = {Springer Science \& Business Media},
	title = {Confluent string rewriting},
	volume = 14,
	year = 2012
}

@article{Moore1897aa,
	author = {Moore, E. H.},
	journal = {Proc. London Math. Soc.},
	number = 28,
	pages = {357--366},
	title = {Concerning the Abstract Groups of Order k ! and ½k ! Holohedrically Isomorphic with the Symmetric and the Alternating Substitution-Groups on k Letters},
	volume = 1,
	year = 1897
}

@book{Sims1994aa,
	address = {Cambridge,, England, New York},
	author = {Sims, Charles C.},
	date-added = {2019-10-23 12:55:38 +0100},
	date-modified = {2019-10-23 12:55:38 +0100},
	isbn = {0-521-43213-8},
	publisher = {Cambridge University Press},
	series = {Encyclopedia of mathematics and its applications},
	title = {Computation with finitely presented groups},
	url = {http://opac.inria.fr/record=b1082972},
	year = 1994
}

@book{Knuth2009aa,
	author = {Knuth, Donald E.},
	date-added = {2019-10-22 15:37:10 +0100},
	date-modified = {2019-10-22 15:37:13 +0100},
	edition = {12th},
	isbn = {0321580508, 9780321580504},
	publisher = {Addison-Wesley Professional},
	title = {The Art of Computer Programming, Volume 4, Fascicle 1: Bitwise Tricks \& Techniques; Binary Decision Diagrams},
	year = 2009
}

@article{Jonusas2017aa,
	author = {Jonusas, Julius and Mitchell, James D. and Pfeiffer, Markus},
	date-added = {2019-10-18 13:47:37 +0100},
	date-modified = {2019-10-18 13:52:37 +0100},
	doi = {10.4171/pm/2001},
	fjournal = {Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society},
	issn = {0032-5155},
	journal = {Port. Math.},
	mrclass = {20m10 (20b40 20m20 68q42)},
	mrnumber = 3763897,
	mrreviewer = {Karim Ahmadidelir},
	number = 3,
	pages = {173--200},
	title = {Two variants of the {F}roidure-{P}in algorithm for finite semigroups},
	url = {https://doi.org/10.4171/PM/2001},
	volume = 74,
	year = 2017
}

@incollection{Froidure1997aa,
	address = {Berlin},
	author = {Froidure, V{\'e}ronique and Pin, Jean-Eric},
	booktitle = {Foundations of computational mathematics ({R}io de {J}aneiro, 1997)},
	pages = {112--126},
	publisher = {Springer},
	title = {Algorithms for computing finite semigroups},
	year = 1997
}

@article{Konieczny1994aa,
	author = {Konieczny, Janusz},
	doi = {10.1007/bf02573672},
	fjournal = {Semigroup Forum},
	issn = {0037-1912},
	journal = {Semigroup Forum},
	mrclass = {20m20},
	mrnumber = 1256691,
	mrreviewer = {G. J. Lallement},
	number = 2,
	pages = {235--252},
	title = {Green's equivalences in finite semigroups of binary relations},
	volume = 48,
	year = 1994,
	url = {https://doi.org/10.1007/BF02573672}
}

@article{Lallement1990aa,
	author = {Lallement, Gerard and McFadden, Robert},
	doi = {10.1016/s0747-7171(08)80057-0},
	fjournal = {Journal of Symbolic Computation},
	issn = {0747-7171},
	journal = {J. Symbolic Comput.},
	mrclass = {20m20 (68q45)},
	mrnumber = 1087717,
	mrreviewer = {Dominique Perrin},
	number = 5,
	pages = {481--498},
	title = {On the determination of {G}reen's relations in finite transformation semigroups},
	volume = 10,
	year = 1990,
	url = {https://doi.org/10.1016/S0747-7171(08)80057-0}
}

@article{Martin2013aa,
	author = {Paul Martin and Volodymyr Mazorchuk},
	issn = {00255521, 19031807},
	journal = {Mathematica Scandinavica},
	number = 1,
	pages = {30--52},
	publisher = {Mathematica Scandinavica},
	title = {Partitioned Binary Relations},
	url = {http://www.jstor.org/stable/24493105},
	volume = 113,
	year = 2013
}

@inproceedings{Radoszewski2010aa,
	author = {Radoszewski, J. and Rytter, W.},
	booktitle = {SOFSEM 2010: Theory and Practice of Computer Science},
	doi = {10.1007/978-3-642-11266-9_55},
	month = {01},
	pages = {663--671},
	title = {Efficient Testing of Equivalence of Words in a Free Idempotent Semigroup},
	year = 2010,
	url = {https://doi.org/10.1007/978-3-642-11266-9_55}
}

@phdthesis{Ruskuc1995aa,
	author = {Ru{\v{s}}kuc, Nikola},
	school = {University of St Andrews},
	title = {Semigroup presentations},
	url = {https://research-repository.st-andrews.ac.uk/handle/10023/2821},
	year = 1995
}

@article{Halverson2005aa,
	author = {Halverson, Tom and Ram, Arun},
	doi = {10.1016/j.ejc.2004.06.005},
	url = {https://doi.org/10.1016/j.ejc.2004.06.005},
	journal = {European Journal of Combinatorics},
	pages = {869--921},
	title = {Partition algebras},
	volume = {26},
	year = {2005}
}

@misc{Posner2013aa,
	arxiv = {1301.4518},
	archiveprefix = {arXiv},
	author = {Posner, Eliezer and Hatch, Kris and Ly, Megan},
	month = {01},
	title = {Presentation of the Motzkin Monoid},
	year = {2013},
	url = {https://arxiv.org/abs/1301.4518}
}

@book{Carmichael1956aa,
	author = {Carmichael, Robert D.},
	title = {Introduction To The Theory Of Groups Of Finite Order},
	year = {1956},
	publisher = {Dover Publications},
	location = {New York}
}

@article{Iwahori1974aa,
	title = {On a set of generating relations of the full transformation semigroups},
	journal = {Journal of Combinatorial Theory, Series A},
	volume = {16},
	number = {2},
	pages = {147--158},
	year = {1974},
	issn = {0097-3165},
	doi = {10.1016/0097-3165(74)90040-5},
	url = {https://www.sciencedirect.com/science/article/pii/0097316574900405},
	author = {Nagayoshi Iwahori and Nobuko Iwahori},
	abstract = {A set of generating relations of the full transformation semigroup Σn consisting of all mappings of the set Ω = {1, …, n} into itself with respect to a natural system of generators {γji, σji} (defined in Section 1) is given. The set of relations (1)∼(15) given in Section 1 turns out to be a set of generating relations.}
}

@misc{Mitchell2024aa,
	arxiv = {2406.19294},
	author = {Mitchell, James D. and Whyte, Murray T.},
	archiveprefix = {arXiv},
	month = {06},
	title = {Short presentations for transformation monoids},
	url = {https://arxiv.org/abs/2406.19294},
	year = {2024}
}

@article{Shutov1960aa,
	author = {Shutov, {\'E}. G.},
	title = {Defining relations in finite semigroups of partial transformations},
	fjournal = {Soviet Mathematics. Doklady},
	journal = {Sov. Math., Dokl.},
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	keywords = {Theoretical computer science ; Algebraic and geometric combinatorics ; Algorithm ; Representation of groups and monoids ; Combinatorics of permutations; trees and tableaux ; Polytope theory ; Informatique fondamentale ; Combinatoire alg{\'e}brique et g{\'e}om{\'e}trique ; Algorithmique ; Repr{\'e}sentations de groupe et des mono{\"i}des ; Combinatoire des permutations; des arbres et des tableaux ; Th{\'e}orie des polytopes},
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}

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