Article View: sci.crypt
Article #1948Re: Cryptography and P=NP
From: Stephen R. Tate
Date: Fri, 20 Nov 1992 15:29
Date: Fri, 20 Nov 1992 15:29
33 lines
2059 bytes
2059 bytes
In article <1992Nov20.100712.7550@nntp.nta.no> klaus@hal.nta.no (Klaus Gaarder FNI) writes: >In article <722206613@pike.cs.duke.edu>, srt@duke.cs.duke.edu (Stephen R. Tate) writes: >|> To re-iterate: programs that cannot >|> be counted on to halt are very, very, very rare. Most people will never >|> see one. > >Unless Mr Tate has a fairly restriced view of 'programs' I must say: > >"Surely you're joking Mr Tate?"... > >I DO hope my Unix instance never halts...so >in fact most computer users see a program never halting EVERY SINGLE DAY, >namely their favourite OS!! Ok, ok. Several people have pointed things like this out to me. But remember the context of my comment. We're talking about P vs. NP, and algorithms for decision problems. In other words, the entire point of running the algorithm is to arrive at a single answer. In fact, most definitions of algorithm include the condition that the algorithm halt in a finite amount of time. An OS may not halt, but it's not a program designed to get an answer, and is not in the least considered an "algorithm" in the sense of algorithms studied for complexity theory. I used the term "program" rather than algorithm trying to be informal, and because it's what the original poster used. I suppose it was a mistake.... -- Steve Tate srt@cs.duke.edu | The reason why mathematics enjoys special esteem, Dept. of Computer Science | above all other sciences, is that its laws are Duke University | absolutely certain and indisputable, while those of all Durham, NC 27706 | other sciences are to some extent debatable. (Einstein)
Technical Details
Message-ID:
<722273385@pike.cs.duke.edu>Path:
arc1-ca.pugleaf.net!sparky!uunet!gatech!concert!duke!srtReferences:
<1992Nov19.193036.26711@rchland.ibm.com> <722206613@pike.cs.duke.edu> <1992Nov20.100712.7550@nntp.nta.no>Show Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!concert!duke!srt From: srt@duke.cs.duke.edu (Stephen R. Tate) Newsgroups: sci.crypt Subject: Re: Cryptography and P=NP Message-ID: <722273385@pike.cs.duke.edu> Date: 20 Nov 92 15:29:46 GMT References: <1992Nov19.193036.26711@rchland.ibm.com> <722206613@pike.cs.duke.edu> <1992Nov20.100712.7550@nntp.nta.no> Organization: Duke University Computer Science Dept.; Durham, N.C. Lines: 33