Publications [#348704] of Benjamin Rossman

Papers Published

1. Rossman, B, Successor-invariance in the finite, Proceedings Symposium on Logic in Computer Science (January, 2003), pp. 148-157
   (last updated on 2026/01/13)

   Abstract:
   A first-order sentence θ of vocabulary σ {S} is successor-invariant in the finite if for every finite σ-structure M and successor relations S1 and S2 on M, (M, S1) |= θ ⇔ (M, S2) |= θ. In this paper I give an example of a non-first-order definable class of finite structures which is, however, defined by a successor-invariant first-order sentence. This strengthens a corresponding result for order-invariance in the finite, due to Y. Gurevich.