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Eric Allender, "Isomorphisms and 1-L Reductions," J. Computer Sys. Sci. 36 (1988), 336-350.

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A First-Order Isomorphism Theorem - Allender, Balcázar, Immerman (1993)   (7 citations)  Self-citation (Allender)   (Correct)

....a very restricted class of isomorphisms. This result is incomparable to a very recent result of [AB] showing that all sets complete under one way logspace reductions (1 L reductions) are isomorphic under polynomial time computable isomorphisms. This work of [AB] improves an earlier result of [A88]. Note that it is easy to prove that the class of 1 L reductions is incomparable with the class of first order projections. Other interesting results concerning 1 L reductions may be found in [BH90, HH] 4 3 Descriptive Complexity In this section we recall the notation of Descriptive ....

Eric Allender, "Isomorphisms and 1-L Reductions," J. Computer Sys. Sci. 36 (1988), 336-350.


A First-Order Isomorphism Theorem - Allender, Balcázar, Immerman (1993)   (7 citations)  Self-citation (Allender)   (Correct)

....under a very restricted class of isomorphisms. This result is incomparable to a recent result of [AB] showing that all sets complete under one way logspace reductions (1 L reductions) are isomorphic under polynomial time computable isomorphisms. This work of [AB] improves an earlier result of [A88]. Note that it is easy to prove that the class of 1 L reductions is incomparable with the class of first order projections. Other interesting results concerning 1 L reductions may be found in [BH90, HH] 3 Descriptive Complexity In this section we recall the notation of Descriptive Complexity ....

Eric Allender, "Isomorphisms and 1-L Reductions," J. Computer Sys. Sci. 36 (1988), 336-350.


The Complexity of Iterated Multiplication - Immerman, Landau (1995)   (32 citations)  (Correct)

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Eric Allender (1988), Isomorphisms and 1-L Reductions, J. Computer Sys. Sci. 36, 336-350.

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