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Expressibility of properties of relations

Published online by Cambridge University Press:  12 March 2014

Hajnal Andréka
Affiliation:
Mathematical Institute, Academy of Sciences, Budapest 1363, Hungary, E-mail: [email protected]
Ivo Düntsch
Affiliation:
School of Information and Software Engineering, University of Ulster at Jordanstown, Newtownabbey, BT 37 0QB, N.Ireland, E-mail: [email protected]
István Németi
Affiliation:
Mathematical Institute, Academy of Sciences, Budapest 1363, Hungary, E-mail: [email protected]

Abstract

We investigate in an algebraic setting the question of which logical languages can express the properties integral, permutational, and rigid for algebras of relations.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1995

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References

REFERENCES

[1]Andréka, Hajnal, Düntsch, Ivo, and Németi, István, Binary relations and permutation groups, Mathematical Logic Quarterly, to appear (1995).Google Scholar
[2]Andréka, Hajnal, A non permutational integral relation algebra, Michigan Mathematical Journal, vol. 39 (1992), pp. 371384.CrossRefGoogle Scholar
[3]Andréka, Hajnal and Maddux, Roger, Representations for small relation algebras, Preprint, Department of Mathematics, Iowa State University, 1988.Google Scholar
[4]Blass, A. and Harary, F., Properties of almost all graphs and complexes, Journal of Graph Theory, vol. 3 (1979), pp. 225240.CrossRefGoogle Scholar
[5]Chang, C. and Keisler, J., Model theory, North Holland, 1971.Google Scholar
[6]Compton, K. J., 0–1 laws in logic and combinatorics, Algorithms and order (Rival, Ivan, editor), Kluwer, 1988.Google Scholar
[7]Düntsch, Ivo, A microcomputer based system for small relation algebras, Journal of Symbolic Computational 18 (1994), pp. 8386.CrossRefGoogle Scholar
[8]Fagin, R., Stockmeyer, L., and Vardi, M., On monadic NP vs. monadic co-NP, Research report RJ 9225 (81789), IBM Almaden, 1992.Google Scholar
[9]Fagin, Ron, Finite model theory—a personal perspective, Springer lecture notes in computer science, no. 470, Springer, 1987, pp. 324.Google Scholar
[10]Henkin, Leon, Monk, J. Donald, and Tarski, Alfred, Cylindric algebras, Part I, North Holland, 1971.Google Scholar
[11]Henkin, Leon, Cylindric algebras, Part II, North Holland, 1985.Google Scholar
[12]Immerman, Neil, Upper and lower bounds for first order expressibility, Journal of Computer and System Science, vol. 25 (1982), pp. 7698.CrossRefGoogle Scholar
[13]Immerman, Neil and Kozen, Dexter, Definability with a bounded number of variables, Information and Computation, vol. 83 (1989), pp. 121139.CrossRefGoogle Scholar
[14]Jónsson, Bjarni, Maximal algebras of binary relations, Contemporary Mathematics, vol. 33 (1984), pp. 299307.CrossRefGoogle Scholar
[15]Jónsson, Bjarni and Tarski, Alfred, Boolean algebras with operators II, American Journal of Mathematics, vol. 74 (1952), pp. 127162.CrossRefGoogle Scholar
[16]Kolaitis, P. and Vardi, M., Infinitary logic and 0-1 laws, Information and Computation, vol. 98 (1992), pp. 258294.CrossRefGoogle Scholar
[17]McKay, Brendan, NAUTY user guide, Tech. Report TR-CS-90-02, Australian National University, 1990.Google Scholar
[18]McKenzie, Ralph, Representations of integral relation algebras, Ph.D. thesis, University of Colorado, 1966.Google Scholar
[19]Tarski, Alfred and Givant, Steven, A formalization of set theory without variables, American Mathematical Society (1987).Google Scholar