[sci.math] PLEASE DON'T!!!!!

jeff@shuksan.UUCP (Jeff Jongeward) (03/19/91)

I am posting this for a friend, Prof. Richard Lorentz, who
currently  has no postnews access:

Newsgroups: comp.theory,sci.math
Subject: Re: A few questions on automata and languages
Summary: PLEASE DON'T!
Expires: 
References: <13911@hacgate.UUCP>
Sender: 
Reply-To: lorentz@secs.csun.edu (Richard J. Lorentz)
Followup-To: 
Distribution: 
Organization: School of Engineering and Computer Science, CSU Northridge
Keywords: PDA CFL DPDA DCFL automata languages


In article <13911@hacgate.UUCP> carmi@ipla01.hac.com (Aviram Carmi) writes:
>
>Hi, I recently came across some interesting problems and I would
>appreciate any thoughts on them, or pointers to references.

These interesting problems that he "came across" are from a takehome test
I gave last week.  Please, let him do his own test.  I'll have a word with
him in class tomorrow.  )-:

>1) We know that for PDA's (push down automata) we may define 
>   acceptance by empty stack or by final-state and in either
>   case we will get exactly the CFL's (context free languages).
>   Is this true for DPDA's (deterministic PDA's)?
>   stack DPDA?
>
>2) For any PDA can we prove that the set of strings that can
>   appear on its stack is a regular set?
>
>3) We know that the concatenation of two DCFL is not nesseccrily
>   DCFL, but can the concatenation of two DCFL's that are not
>   regular end up being regular?
>
>Thanks,
>
>Avi
>--
>Avi Carmi   EMail: carmi@ipla01.hac.com   Phone: (818) 702-3179

Again, thanks for letting him do his own work.
--
Richard J. Lorentz   |   lorentz@mx.csun.edu  |   "is well known" = rumor has
                     |     (818) 885-2733     |   it that someone once did it.