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A first-order isomorphism theorem

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STACS 93 (STACS 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 665))

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Abstract

We show that for most complexity classes of interest, all sets complete under first-order projections are isomorphic under first-order isomorphisms. That is, a very restricted version of the Berman-Hartmanis Conjecture holds.

On leave from Rutgers University; supported in part by National Science Foundation grant CCR-9204874.

Supported in part by ESPRIT-II BRA EC project 3075 (ALCOM) and by Acción Integrada Hispano-Alemana 131 B

Supported by NSF grants CCR-9008416 and CCR-9207797.

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P. Enjalbert A. Finkel K. W. Wagner

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Allender, E., Balcázar, J., Immerman, N. (1993). A first-order isomorphism theorem. In: Enjalbert, P., Finkel, A., Wagner, K.W. (eds) STACS 93. STACS 1993. Lecture Notes in Computer Science, vol 665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56503-5_19

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  • DOI: https://doi.org/10.1007/3-540-56503-5_19

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  • Print ISBN: 978-3-540-56503-1

  • Online ISBN: 978-3-540-47574-3

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