Computer Science Homework Solutions
Problem
#113572

Automata and Computability

A Boolean formula is a Boolean circuit wherein every gate has only one output wire.  The same input variable may appear in multiple places of a Boolean formula.  Prove that a language has a polynomial size family of formulas if it is in NC1.  Ignore uniformity considerations.

See attached file for full problem description.

Attached file(s):
Attachments
Problem A145.doc  View File

Attachment Content Summary (Note: view attachment at the above link before purchasing. Actual attachment content may vary slightly from that shown below.)

Problem A145.doc
Problem 45

A Boolean formula is a Boolean circuit wherein every gate has only one
output wire. The same input variable may appear in multiple places of a
Boolean formula. Prove that a language has a polynomial size family of
formulas if it is in NC1. Ignore uniformity considerations.
Solution
What is this?
By OTA - Overall OTA Rating
Purchase Cost Now
$2.19 CAD (was ~$19.95)
Included in Download
  • Plain text response
  • Attached file(s):
    • Problem+A145.doc
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Automata and Computability - Show that, if P = NP then every language A  P except A = 0 and A = * is NP-complete. See attached for full problem description.
  • Automata and Computability - Let EQREX = {R,S | R and S are equivalent regular expressions}. Show that EQREX  PSPACE. See attached file for full problem description.
  • Automata and Computability - Prove that an oracle C exists for which NPC  coNPC. See attached file for full problem description.
  • Automata and Computability - Let C be a language. Prove that C turing-recognizable if a decidable language D exists such that C = {x | y (x,y  D)}.
  • Automata and Computability (A125) - 1. Give an example in the spirit of the recursion theorem of a program in a real programming language (or a reasonable approximation thereof) that prints itself out.
Browse