Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!tut.cis.ohio-state.edu!ucbvax!VM1.NODAK.EDU!varricchio%pc346%astrom.hepnet From: varricchio%pc346%astrom.hepnet@VM1.NODAK.EDU Newsgroups: comp.theory Subject: regularity conditions Message-ID: <9006052055.AA12840@irt.watson.ibm.com> Date: 5 Jun 90 20:55:05 GMT Sender: daemon@ucbvax.BERKELEY.EDU Reply-To: varricchio%pc346%astrom.hepnet@VM1.NoDak.EDU Lines: 11 It is well known that if a language L is accepted in linear time by a deterministic one-tape Turing Machine then L is regular.(cf. Hennie F. C. , One-tape off-line Turing Machine computations, Information and Control, 1965,8:6, 553-578). I wonder whether the same result holds for languages accepted in linear time by a non-deterministic one-tape Turing Machine. Stefano Varricchio Dipartimento di Matematica Universita dell`Aquila 67100 L`Aquila Italy.