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ORCIDAlan J. Cain
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2020 – today
- 2022
[j18]Alan J. Cain, Erkko Lehtonen:
Reconstructing Young tableaux. J. Comb. Theory A 187: 105578 (2022)- 2020
- [j17]Tara Brough
, Alan J. Cain:
A language hierarchy of binary relations. Inf. Comput. 275: 104607 (2020)
2010 – 2019
- 2019
- [j16]Alan J. Cain, António Malheiro, Fábio M. Silva:
Combinatorics of patience sorting monoids. Discret. Math. 342(9): 2590-2611 (2019) - [j15]Alan J. Cain, António Malheiro, Fábio M. Silva:
The monoids of the patience sorting algorithm. Int. J. Algebra Comput. 29(1): 85-125 (2019) - [j14]Alan J. Cain, Robert D. Gray, António Malheiro:
Crystal monoids & crystal bases: Rewriting systems and biautomatic structures for plactic monoids of types An, Bn, Cn, Dn, and G2. J. Comb. Theory A 162: 406-466 (2019) - [c3]Tara Brough, Alan J. Cain, Markus Pfeiffer:
Context-Free Word Problem Semigroups. DLT 2019: 292-305 - [i11]Tara Brough, Alan J. Cain, Markus Pfeiffer:
Context-free word problem semigroups. CoRR abs/1903.10493 (2019) - 2018
- [j13]Alan J. Cain, António Malheiro:
Identities in Plactic, Hypoplactic, Sylvester, Baxter, and Related Monoids. Electron. J. Comb. 25(3): 3 (2018) - [i10]Tara Brough, Alan J. Cain:
A Language Hierarchy of Binary Relations. CoRR abs/1805.03125 (2018) - 2017
- [j12]Alan J. Cain, Robert D. Gray, António Malheiro:
On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids. Inf. Comput. 255: 68-93 (2017) - [j11]Tara Brough, Alan J. Cain:
Automaton semigroups: New constructions results and examples of non-automaton semigroups. Theor. Comput. Sci. 674: 1-15 (2017) - [c2]Alan J. Cain, António Malheiro:
Combinatorics of Cyclic Shifts in Plactic, Hypoplactic, Sylvester, and Related Monoids. WORDS 2017: 190-202 - 2016
- [i9]Tara Brough, Alan J. Cain:
Automaton semigroups: new construction results and examples of non-automaton semigroups. CoRR abs/1601.01168 (2016) - 2015
- [j10]Alan J. Cain, Robert D. Gray, António Malheiro:
Rewriting systems and biautomatic structures for Chinese, hypoplactic, and sylvester monoids. Int. J. Algebra Comput. 25(1-2): 51-80 (2015) - [j9]Alan J. Cain, António Malheiro:
Deciding conjugacy in sylvester monoids and other homogeneous monoids. Int. J. Algebra Comput. 25(5): 899-915 (2015) - 2014
- [j8]Alan J. Cain, Victor Maltcev:
Markov semigroups, monoids and groups. Int. J. Algebra Comput. 24(5): 609-654 (2014) - [i8]Alan J. Cain, Robert D. Gray, António Malheiro:
On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids. CoRR abs/1407.7428 (2014) - [i7]Alan J. Cain, Robert D. Gray, António Malheiro:
Crystal bases, finite complete rewriting systems, and biautomatic structures for Plactic monoids of types $A_n$, $B_n$, $C_n$, $D_n$, and $G_2$. CoRR abs/1412.7040 (2014) - 2013
- [i6]Alan J. Cain:
Decision problems for word-hyperbolic semigroups. CoRR abs/1303.1763 (2013) - [i5]Tara Brough, Alan J. Cain:
Automaton semigroup constructions. CoRR abs/1310.4852 (2013) - [i4]Alan J. Cain, Robert D. Gray, António Malheiro:
Rewriting systems and biautomatic structures for Chinese, hypoplactic, and Sylvester monoids. CoRR abs/1310.6572 (2013) - 2012
- [j7]Alan J. Cain, Nikola Ruskuc, Richard M. Thomas:
Unary FA-Presentable Semigroups. Int. J. Algebra Comput. 22(4) (2012) - [j6]Alan J. Cain, Victor Maltcev:
Context-Free Rewriting Systems and Word-hyperbolic Structures with uniqueness. Int. J. Algebra Comput. 22(7) (2012) - [i3]Alan J. Cain, Victor Maltcev:
Markov semigroups, monoids, and groups. CoRR abs/1202.3013 (2012) - [i2]Alan J. Cain, Victor Maltcev:
Finitely presented monoids with linear Dehn function need not have regular cross-sections. CoRR abs/1203.0473 (2012) - [i1]Alan J. Cain, Nikola Ruskuc:
Subalgebras of FA-presentable algebras. CoRR abs/1206.5548 (2012) - 2010
- [j5]Alan J. Cain, Graham P. Oliver, Nikola Ruskuc, Richard M. Thomas:
Automatic Presentations and Semigroup Constructions. Theory Comput. Syst. 47(2): 568-592 (2010)
2000 – 2009
- 2009
- [j4]Alan J. Cain, Graham P. Oliver, Nikola Ruskuc, Richard M. Thomas:
Automatic presentations for semigroups. Inf. Comput. 207(11): 1156-1168 (2009) - [j3]Alan J. Cain, Victor Maltcev:
Decision Problems for Finitely Presented and One-Relation Semigroups and Monoids. Int. J. Algebra Comput. 19(6): 747-770 (2009) - [j2]Alan J. Cain:
Monoids Presented by Rewriting Systems and Automatic Structures for their Submonoids. Int. J. Algebra Comput. 19(6): 771-790 (2009) - [j1]Alan J. Cain:
Automaton semigroups. Theor. Comput. Sci. 410(47-49): 5022-5038 (2009) - 2008
- [c1]Alan J. Cain, Graham P. Oliver, Nikola Ruskuc, Richard M. Thomas:
Automatic Presentations for Cancellative Semigroups. LATA 2008: 149-159
Coauthor Index
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