18 and 25 Feb 2004
CS 3243 - Logical Agents
68
Hard satisfiability problems
n
Consider random 3-CNF sentences. e.g.,
n
(
Ø
D
Ú
Ø
B
Ú
C)
Ù
(B
Ú
Ø
A
Ú
Ø
C)
Ù
(
Ø
C
Ú
Ø
B
Ú
E)
Ù
(E
Ú
Ø
D
Ú
B)
Ù
(B
Ú
E
Ú
Ø
C)
n
n
m
= number of clauses
n
n
= number of symbols
n
n
Hard problems seem to cluster near
m/n
= 4.3
(critical point)