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BUILT-IN MATHEMATICA SYMBOL
SatisfiabilityCount
SatisfiabilityInstances
Exists
TautologyQ
BooleanTable
See Also »
|
Boolean Computation
Discrete Mathematics
Graph Programming
Logic & Boolean Algebra
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
More About »
SatisfiableQ
SatisfiableQ
[
bf
]
gives
True
if a combination of values of variables exists that makes the Boolean function
bf
yield
True
.
SatisfiableQ
gives
True
if a combination of values of the
exists that makes the Boolean expression
expr
yield
True
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Test whether Boolean expressions are satisfiable:
Test whether pure Boolean functions are satisfiable:
Test whether Boolean expressions are satisfiable:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Test whether pure Boolean functions are satisfiable:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Properties & Relations
(4)
An expression is satisfiable if it is true for some variable assignments:
An expression of
variables is satisfiable if the
SatisfiabilityCount
is greater than 0:
Use
SatisfiabilityInstances
to get explicit instances:
SatisfiableQ
[
f
]
is equivalent to
¬
TautologyQ
[¬
f
]
:
SEE ALSO
SatisfiabilityCount
SatisfiabilityInstances
Exists
TautologyQ
BooleanTable
MORE ABOUT
Boolean Computation
Discrete Mathematics
Graph Programming
Logic & Boolean Algebra
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
New in 7