@article{ITA_1998__32_4-6_175_0,
author = {Bloom, S. L. and \'Esik, Z.},
title = {Shuffle binoids},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {175--198},
year = {1998},
publisher = {EDP Sciences},
volume = {32},
number = {4-6},
mrnumber = {1672727},
language = {en},
url = {https://www.numdam.org/item/ITA_1998__32_4-6_175_0/}
}
TY - JOUR AU - Bloom, S. L. AU - Ésik, Z. TI - Shuffle binoids JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 1998 SP - 175 EP - 198 VL - 32 IS - 4-6 PB - EDP Sciences UR - https://www.numdam.org/item/ITA_1998__32_4-6_175_0/ LA - en ID - ITA_1998__32_4-6_175_0 ER -
Bloom, S. L.; Ésik, Z. Shuffle binoids. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 32 (1998) no. 4-6, pp. 175-198. https://www.numdam.org/item/ITA_1998__32_4-6_175_0/
[Blo76] , Varieties of ordered algebras. Journal of Computer and System Sciences, Vol. 45, 1976, pp. 200-212. | Zbl | MR
[BÉ95] and , Nonfinite axiomatizability of shuffle inequalities. In Proceedings of TAPSOFT'95, volume 915 of Lecture Notes in Computer Science, 1995, pp. 318-333.
[BÉ96] and , Free shuffle algebras in language varieties. Theoretical Computer Science, Vol. 163, 1996, pp. 55-98. | Zbl | MR
[BÉ97] and , Axiomatizing shuffle and concatenation in languages. Information and Computation, Vol. 139, 1997, pp. 62-91. | Zbl | MR
[BÉSt] , and , Equational theories of relations and regular sets. In Proc. of Words, Languages and Combinatorics, II, M. ITO and M. JÜRGENSEN Eds., Kyoto, 1992 World Scientific, 1994, pp. 40-48. | Zbl | MR
[Bof90] , Une remarque sur les systèmes complets d'identités rationnelles, Theoret. Inform. Appl., Vol. 24, 1990, pp. 419-423. | Zbl | MR | Numdam
[Bof95] , Une condition impliquant toutes les identités rationnelles, Theoret. Inform. Appl., Vol. 29, 1995, pp. 515-518. | Zbl | MR | Numdam
[ÉB95] and , Scott induction and equational proofs, in: Mathematical Foundations of Programming Semantics'95, ENTCS, Vol. 1, 1995. | Zbl | MR
[ÉBrt95] and , Nonfinite axiomatizability of the equational theory of shuffle. In Proceedings of ICALP 95, volume 944 of Lecture Notes in Computer Science, 1995, pp. 27-38. | MR
[És98] , Group axioms for iteration, Information and Computation, to appear. | Zbl | MR
[Gis84] , Partial Orders and the Axiomatic Theory of Shuffle. PhD thesis, Stanford University, Computer Science Dept., 1984.
[Gis88] , The equational theory of pomsets. Theoretical Computer Science, Vol. 61, 1988, pp. 199-224. | Zbl | MR
[Gra81] , On partial languages. Fundamenta Informatica, Vol. IV(2), 1981, pp. 427-498. | Zbl | MR
[Koz94] , A completeness theorem for Kleene algebras and the algebra of regular events, Information and Computation, Vol. 110, 1994, pp. 366-390. | Zbl | MR
[Kr91] , Complete Systems of B-rational identities, Theoretical Computer Science, Vol. 89, 1991, pp. 207-343. | Zbl | MR
[Kuc90] , Combinatorial Algorithms, Adam Hilger (Bristol and Philadelphia), 1990. | Zbl | MR
[Pra86] , Modeling concurrency with partial orders. Internat. J. Parallel Processing, Vol. 15, 1986, pp. 33-71. | Zbl | MR
[WT90] , Automata on infinite objects. In Handbook of Theoretical Computer Science, Vol. B, Formal Models and Semantics, MIT Press, 1990, pp. 133-192. | Zbl | MR
[Tsc94] , Languages under concatenation and shuffling, Mathematical Structures in Computer Science, Vol. 4, 1994, pp. 505-511. | Zbl | MR
[VTL81] , and , The recognition of series-parallel digraphs. SIAM Journal of Computing, Vol. 11(2), 1981, pp. 298-313. | Zbl | MR
[Wil93] , An algebraic theory for regular languages of finite and infinite words. International Journal of Algebra and Computation, Vol. 3, 1993, pp. 447-489. | Zbl | MR
[Wil91] , An Eilenberg Theorem for ∞-languages. In "Automata, Languages and Programming", Proc. of 18th ICALP Conference, Vol. 510 of Lecture Notes in Computer Science, 1991, pp. 588-599. | Zbl | MR






