Friday, May 14, 2021

Digest for comp.lang.c++@googlegroups.com - 2 updates in 2 topics

Nikki Locke <nikki@trumphurst.com>: May 14 10:23PM

Available C++ Libraries FAQ
 
URL: http://www.trumphurst.com/cpplibs/
 
This is a searchable list of libraries and utilities (both free
and commercial) available to C++ programmers.
 
If you know of a library which is not in the list, why not fill
in the form at http://www.trumphurst.com/cpplibs/cppsub.php
 
Maintainer: Nikki Locke - if you wish to contact me, please use the form on the website.
olcott <NoOne@NoWhere.com>: May 14 11:12AM -0500

On 5/14/2021 10:51 AM, Ben Bacarisse wrote:
>> applies to the halting problem.
 
> No. Halts(H_Hat, H_Hat) == 0 is the wrong answer to the halting problem
> for the instance (H_Hat, H_Hat) because H_Hat(H_Hat) halts.
 
Even though it really really seems this way it actually turns out that
Halts(H_Hat, H_Hat) is an entirely different computation than
H_Hat(H_Hat) therefore the behavior of H_Hat(H_Hat) is not actually a
proxy for the halting decision of Halts(H_Hat, H_Hat) at all.
 
Like I repeated several times yesterday if you want to find out the
length of your car you really can't do this by measuring the height of
your house.
 
If we are trying to determine whether or not Halts decides its inputs
correctly we must base this on examining every single step of exactly
how Halts decides its actual inputs.
 
If no errors exist in the steps that Halts takes to decides its actual
inputs then Halts has decided these inputs correctly no matter how much
intuition says otherwise.
 
When the behavior of the input P to Halts correctly matches a correct
non-halting behavior pattern then Halts decides non-halting on P correctly.
 
 
--
Copyright 2021 Pete Olcott
 
"Great spirits have always encountered violent opposition from mediocre
minds." Einstein
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