static void Main(string[] args)
{
AdjacentMap wichtelAdjazentMap = GetWichtelAdjazentMap();
Dictionary <String, Variable> variableStore = new Dictionary <string, Variable>();
Formula wichtel3Sat = IndependentSetReducer.ReduceTo3Sat(wichtelAdjazentMap, variableStore);
Stopwatch stopwatch = new Stopwatch();
stopwatch.Start();
var satisfiableInfo = new SatResolver().IsSatisfiable(wichtel3Sat);
stopwatch.Stop();
Console.WriteLine($"{Console.Out.NewLine}Time elapsed: {stopwatch.Elapsed}");
bool[] maxSatisfiebleAssignment = SatUtil.GetMaxSatisfiebleAssignment(satisfiableInfo.SatisfiableAssignments);
if (satisfiableInfo.IsSatisfiable && maxSatisfiebleAssignment.Count(a => a) > 0)
{
Console.WriteLine("\nResolved Wichtel Independet Set!");
for (int i = 0; i < satisfiableInfo.VariableList.Count; i++)
{
Console.WriteLine("Wichtel {0}: {1}", satisfiableInfo.VariableList[i].Name, maxSatisfiebleAssignment[i]);
}
}
else
{
Console.WriteLine("\nCould not resolve Wichtel Independet Set!");
}
Console.ReadLine();
}
static void Main(string[] args)
{
var formula = ReduceTuringMachineToSat(GetPalindromTuringMachineInfo());
Stopwatch stopwatch = new Stopwatch();
stopwatch.Start();
var satisfiableInfo = new SatResolver().IsSatisfiable(formula);
stopwatch.Stop();
Console.WriteLine($"{Console.Out.NewLine}Time elapsed: {stopwatch.Elapsed}");
bool[] maxSatisfiebleAssignment = SatUtil.GetMaxSatisfiebleAssignment(satisfiableInfo.SatisfiableAssignments);
if (satisfiableInfo.IsSatisfiable && maxSatisfiebleAssignment.Count(a => a) > 0)
{
Console.WriteLine("\nFor the turing machine exists a calculation!");
}
else
{
Console.WriteLine("\nFor the turing machine does not exists a calculation!");
}
}
static void Main(string[] args)
{
Variable arya = new Variable("Arya");
Variable brandon = new Variable("Brandon");
Variable cersei = new Variable("Cersei");
Variable dany = new Variable("Dany");
Variable eddard = new Variable("Eddard");
Variable gilly = new Variable("Gilly");
Variable jon = new Variable("Jon");
Variable melisandre = new Variable("Melisandre");
Variable rob = new Variable("Rob");
Variable sansa = new Variable("Sansa");
Operator and = new Operator(Operator.Types.And);
Operator or = new Operator(Operator.Types.Or);
Operator not = new Operator(Operator.Types.Not);
var dinnerPartyProblem = new Formula()
{
new Bracket()
{
not, arya, or, not, brandon
},
and,
new Bracket()
{
not, arya, or, not, cersei
},
and,
new Bracket()
{
not, arya, or, not, gilly
},
and,
new Bracket()
{
not, brandon, or, not, arya
},
and,
new Bracket()
{
not, brandon, or, not, jon
},
and,
new Bracket()
{
not, brandon, or, not, melisandre
},
and,
new Bracket()
{
not, cersei, or, not, arya
},
and,
new Bracket()
{
not, cersei, or, not, dany
},
and,
new Bracket()
{
not, cersei, or, not, rob
},
and,
new Bracket()
{
not, dany, or, not, cersei
},
and,
new Bracket()
{
not, dany, or, not, eddard
},
and,
new Bracket()
{
not, dany, or, not, melisandre
},
and,
new Bracket()
{
not, eddard, or, not, dany
},
and,
new Bracket()
{
not, eddard, or, not, gilly
},
and,
new Bracket()
{
not, eddard, or, not, jon
},
and,
new Bracket()
{
not, gilly, or, not, arya
},
and,
new Bracket()
{
not, gilly, or, not, eddard
},
and,
new Bracket()
{
not, gilly, or, not, sansa
},
and,
new Bracket()
{
not, jon, or, not, brandon
},
and,
new Bracket()
{
not, jon, or, not, eddard
},
and,
new Bracket()
{
not, jon, or, not, rob
},
and,
new Bracket()
{
not, melisandre, or, not, brandon
},
and,
new Bracket()
{
not, melisandre, or, not, dany
},
and,
new Bracket()
{
not, melisandre, or, not, sansa
},
and,
new Bracket()
{
not, rob, or, not, cersei
},
and,
new Bracket()
{
not, rob, or, not, jon
},
and,
new Bracket()
{
not, rob, or, not, sansa
},
and,
new Bracket()
{
not, sansa, or, not, gilly
},
and,
new Bracket()
{
not, sansa, or, not, melisandre
},
and,
new Bracket()
{
not, sansa, or, not, rob
}
};
var satResolver = new SatResolver();
Stopwatch stopwatch = new Stopwatch();
stopwatch.Start();
var satisfiableInfo = satResolver.IsSatisfiable(dinnerPartyProblem);
stopwatch.Stop();
Console.WriteLine($"{Console.Out.NewLine}Time elapsed: {stopwatch.Elapsed}");
bool[] maxSatisfiebleAssignment = SatUtil.GetMaxSatisfiebleAssignment(satisfiableInfo.SatisfiableAssignments);
if (satisfiableInfo.IsSatisfiable && maxSatisfiebleAssignment.Count(a => a) > 0)
{
Console.WriteLine("\nThe dinner party problem is satisfiable!");
for (int i = 0; i < satisfiableInfo.VariableList.Count; i++)
{
Console.WriteLine("{0}:{1}", satisfiableInfo.VariableList[i].Name, maxSatisfiebleAssignment[i]);
}
}
else
{
Console.WriteLine("\nThe dinner party problem is not satisfiable!");
}
Console.ReadLine();
}
private static void Main(string[] args)
{
var graph = new AdjacentMap()
{
{ "A", new List <string>()
{
"B", "F", "C", "E"
} },
{ "B", new List <string>()
{
"A", "C", "D", "F"
} },
{ "C", new List <string>()
{
"B", "D", "A", "E"
} },
{ "D", new List <string>()
{
"C", "E", "B", "F"
} },
{ "E", new List <string>()
{
"D", "F", "C", "A"
} },
{ "F", new List <string>()
{
"E", "A", "B", "D"
} }
};
Formula formula = ThreeColoringReducer.ReduceTo3Sat(graph);
Console.WriteLine("Formula:");
Console.WriteLine(formula);
var satResolver = new SatResolver();
Stopwatch stopwatch = new Stopwatch();
stopwatch.Start();
var satisfiableInfo = satResolver.IsSatisfiable(formula);
stopwatch.Stop();
Console.WriteLine($"{Console.Out.NewLine}Time elapsed: {stopwatch.Elapsed}");
bool[] maxSatisfiebleAssignment = SatUtil.GetMaxSatisfiebleAssignment(satisfiableInfo.SatisfiableAssignments);
if (satisfiableInfo.IsSatisfiable && maxSatisfiebleAssignment.Count(a => a) > 0)
{
Console.WriteLine("\nThe graph is 3-colorable!");
for (int i = 0; i < satisfiableInfo.VariableList.Count; i++)
{
var nodeColorInfo = satisfiableInfo.VariableList[i].Name
.Split("|", StringSplitOptions.RemoveEmptyEntries);
Console.WriteLine("Node {0}|{1}:{2}", nodeColorInfo[0], nodeColorInfo[1],
maxSatisfiebleAssignment[i]);
}
}
else
{
Console.WriteLine("\nThe graph is not 3-colorable!");
}
Console.Out.Flush();
Console.ReadLine();
}