A Partial Characterization of Ehrenfeucht-Fräıssé Games on Fields and Vector Spaces

نویسندگان

  • Kim Scott
  • Nate Ackerman
چکیده

In this paper we examine Ehrenfeucht-Fräıssé (EF) games on fields and vector spaces. We find the exact length of the EF game on two algebraically closed fields of finite transcendence degree over Q or Z/pZ. We also determine an upper bound on the length of any EF game on models (F1 ,F1) and (F m 2 ,F2 of vector spaces where m = n and a lower bound for the special case F1 = F2.

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تاریخ انتشار 2007