Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!usc!cs.utexas.edu!rice!sabry From: sabry@rice.edu (Amr Sabry) Newsgroups: comp.lang.misc Subject: Re: Halting Problem Solved! Film at 11! (Was Re: definitions) Message-ID: <1991May6.162643.10756@rice.edu> Date: 6 May 91 16:26:43 GMT References: <333124@socrates.umd.edu> <30040@dime.cs.umass.edu> <1991May4.192440.5527@sctc.com> <30095@dime.cs.umass.edu> Sender: news@rice.edu (News) Reply-To: sabry@rice.edu (Amr Sabry) Organization: Rice University Lines: 13 Originator: sabry@datura.rice.edu In article , truesdel@nas.nasa.gov (David A. Truesdell) writes: |> program reach the halting state" is inherently undecidable, even given |> infinite time. The physical limits of "actual computers" have no bearing on I am not sure I agree that given infinite time the halting problem is still undecidable. The question does not make sense in this case as the distinction between recursive languages and r.e. languages goes away if you have infinite time. I should point out that infinite time is different than arbitrarily large time. --Amr