User loginNavigation 
P = NP questionI was skimming through Sipser the other day and came across an anomaly I believe I may have encountered before (I think I recall reading this sometime in 1997 for the first time). It points to something I dont quite understand about the P = NP question so I decided to do some scribbling on a note pad and type it up in latex. The question I had points to the following: 1) Why don't TM based trie (radixtree) like data structures trivially decide any language in O(n) time (and thus yield a trivial solution to P = NP since every deterministic Turing Machine is a nondeterministic one)? 2) If this is the case it would seem that there is something wrong with the definitions of NP and P in that having a DTM or NTM decide a language may not be strong enough to capture what someone means by a language. 3) There are obviously cases of languages that seem to be decided by algorithms which are in NP but not P. An example would be something like a generalized password cracking tool akin to John the Ripper(for those security gurus). I tossed it up on google docs here: https://docs.google.com/open?id=0B8BIjzf4onOFeFk2cVpyY3hkemM I am curious if there was anything wrong with my reasoning. By Carter Cheng at 20120930 04:16  LtU Forum  previous forum topic  next forum topic  other blogs  6227 reads

Browse archivesActive forum topics 
Recent comments
35 min 50 sec ago
2 hours 19 min ago
3 hours 44 min ago
6 hours 5 min ago
6 hours 14 min ago
7 hours 20 min ago
13 hours 43 sec ago
1 day 1 hour ago
2 days 8 hours ago
2 days 8 hours ago