Preview
Unable to display preview. Download preview PDF.
References
L. Babai, E. Luks and A. Seress, Permutation Groups in NC, Proc. of the 19th ACM Symp. on the Theory of Computing (1987), pp. 409–420.
D. Mix Barrington, N. Immerman and H. Straubing, On uniformity within NC1, Proc. of the 3rd Annual Conf. on the Structure in Complexity Theory, IEEE Computer Society Press (1988), pp. 47–59.
M. Beaudry, Testing membership in commutative transformation semigroups, Proc. of the 14th International Colloquium on Automata, Languages and Programming, Springer Lecture Notes in Comp. Sci. 267 (1987), pp. 542–549.
M. Beaudry, Membership Testing in Transformation Monoids, Doctoral Thesis, School of Computer Science, Tech. Rep. TR-SOCS-88.2, McGill University (1988).
S.R. Buss, The boolean formula value problem is in ALOGTIME, Proc. of the 19th ACM Symp. on the Theory of Computing (1987), pp. 123–131.
S.A. Cook, The complexity of theorem-proving procedures Proc. of the 3rd ACM Symp. on the Theory of Computing (1971), pp. 151–158.
S.A. Cook, A taxonomy of problems with fast parallel solutions, Information and Computation64 (1985), pp. 2–22.
S. Eilenberg, Automata, Languages and Machines, Vol. B, Academic Press (1976).
C. Fennemore, All varieties of bands, Semigroup Forum1 (1970), pp. 172–177.
C. Fennemore, All varieties of bands I, II, Mathematische Nachrichten48 (1971), pp. 237–252 and 253–262.
M. Furst, J. Hopcroft and E. Luks, Polynomial time algorithms for permutation groups, Proc. of the 21st IEEE Symp. on the Foundations of Computer Science (1980), pp. 36–41.
J.A. Gerhard, The lattice of equational classes of idempotent semigroups, J. of Algebra15 (1970), pp. 195–224.
J.E. Hopcroft and J.D. Ullman, Introduction to Automata Theory, Languages, and Computation, Addison-Wesley (1979).
N.D. Jones and W.T. Laaser, Complete problems for deterministic polynomial time, Theoretical Computer Science3 (1977), pp. 105–117.
D. Kozen, Lower bounds for natural proof systems, Proc. of the 18th ACM Symp. on the Theory of Computing (1977), pp. 254–266.
K. Krohn and J.L. Rhodes, Algebraic theory of machines, I. Prime decomposition theorem for finite semigroups and machines, Trans. Amer. Math. Soc.116 (1965), pp. 450–464.
G. Lallement, Semigroups and Combinatorial Applications, Addison-Wesley (1979).
E.M. Luks and P. McKenzie, Fast parallel computation with permutation groups, Proc. of the 26th IEEE Symp. on the Foundations of Computer Science (1985), pp. 505–514.
E.M. Luks, Parallel algorithms for permutation groups and graph isomorphism, Proc. of the 27th IEEE Symp. on the Foundations of Computer Science (1986), pp. 292–302.
P. McKenzie and S.A. Cook, The parallel complexity of the Abelian permutation group membership problem, Proc. of the 24th IEEE Symp. on the Foundations of Computer Science (1983), pp. 154–161.
P. McKenzie and S.A. Cook, The parallel complexity of Abelian permutation groups problems, SIAM J. on ComputingVol. 16, no. 5 (Oct. 1987), pp. 880–909.
J.-E. Pin, Variétés de langages formels, Masson (1984).
N. Pippenger, On simultaneous resource bounds, Proc. of the 20th IEEE Symp. on the Foundations of Computer Science (1979), pp. 307–311.
C.C. Sims, Computational methods in the study of permutation groups, in Computational Problems in Abstract Algebra, ed. J. Leech, Pergamon Press (1970), pp. 169–183.
J. Stern, Complexity of some problems from the theory of automata, Information and Computation66 (1985), pp. 163–176.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Beaudry, M., McKenzie, P., Thérien, D. (1989). Testing membership: Beyond permutation groups. In: Monien, B., Cori, R. (eds) STACS 89. STACS 1989. Lecture Notes in Computer Science, vol 349. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029001
Download citation
DOI: https://doi.org/10.1007/BFb0029001
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50840-3
Online ISBN: 978-3-540-46098-5
eBook Packages: Springer Book Archive