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Article #2815

Re: Turing equivalence (was first-class composable functions)

#2815
From: Daniel Mark Gessel
Date: Tue, 19 Feb 1991 17:18
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1992 bytes
Many programming languages (some would say all) are "Turing
Equivalent". That is, anything you can do with a Turing Machine, you
can express with such a programming language. Many programs do not do all
that they are cabable of on a real machine because they run out of
memory, i.e. hit the limitations of the machine.

REAL machines today, and probably ever, cannot run all possible programs
written in a Turing Equivalent Language without restricting them in
some way (i.e., a failed malloc call).

One reason for using a turing equivalent language that may run out of
memory on a given machine, is to have a large degree of machine
independence, generally considered a valuable thing, which can use
whatever resources that exist when it is running.

Is the halting problem solvable then? Not for a program in such a
language, but for a program in that language on a given machine.
However, on a given machine, the program has "finite" power, and it is
not "The Halting Problem" anymore.

IMHO

Dan
--
Daniel Mark Gessel
Internet: gessel@cs.swarthmore.edu
I do not speak (nor type) representing Swarthmore College.
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From: gessel@ilium.cs.swarthmore.edu (Daniel Mark Gessel)
Newsgroups: comp.lang.misc
Subject: Re: Turing equivalence (was first-class composable functions)
Message-ID: <GESSEL.91Feb19111858@ilium.cs.swarthmore.edu>
Date: 19 Feb 91 17:18:58 GMT
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 <926@creatures.cs.vt.edu> <11077@pasteur.Berkeley.EDU>
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In-Reply-To: yodaiken@chelm.cs.umass.edu's message of 16 Feb 91 16:35:56 GMT
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