public int[] checkSat(int[][] clauseDatabase) {
// Step 1: create an empty partial assignment
int[] partialAssignment = new int[numberOfVariables+1];
Arrays.fill(partialAssignment, 0);
// Step 2: run the DPLL algorithm
boolean result = DPLL(partialAssignment, clauseDatabase);
// Step 3: return the result
if (result) {
return partialAssignment;
} else {
return null;
}
}
private boolean DPLL(int[] partialAssignment, int[][] clauseDatabase) {
// Step 1: check if all clauses are satisfied
if (checkClauseDatabase(partialAssignment, clauseDatabase)) {
return true;
}
// Step 2: check if there is an empty clause
for (int[] clause : clauseDatabase) {
if (checkClausePartial(partialAssignment, clause) == -1) {
return false;
}
}
// Step 3: find a unit clause and assign its variable
for (int[] clause : clauseDatabase) {
int variable = findUnit(partialAssignment, clause);
if (variable != 0) {
partialAssignment[Math.abs(variable)] = variable > 0 ? 1 : -1;
return DPLL(partialAssignment, clauseDatabase);
}
}
// Step 4: find a pure literal and assign its value
int pureLiteral = findPureLiteral(partialAssignment, clauseDatabase);
if (pureLiteral != 0) {
partialAssignment[Math.abs(pureLiteral)] = pureLiteral > 0 ? 1 : -1;
return DPLL(partialAssignment, clauseDatabase);
}
// Step 5: choose an unassigned variable and try both assignments
for (int i = 1; i < partialAssignment.length; i++) {
if (partialAssignment[i] == 0) {
int[] copy1 = Arrays.copyOf(partialAssignment, partialAssignment.length);
copy1[i] = 1;
if (DPLL(copy1, clauseDatabase)) {
for (int j = 1; j < partialAssignment.length; j++) {
partialAssignment[j] = copy1[j];
}
return true;
}
int[] copy2 = Arrays.copyOf(partialAssignment, partialAssignment.length);
copy2[i] = -1;
if (DPLL(copy2, clauseDatabase)) {
for (int j = 1; j < partialAssignment.length; j++) {
partialAssignment[j] = copy2[j];
}
return true;
}
return false;
}
}
return false;
}
我想为 checkSat 方法提出一个算法并实现它。 输入是子句数据库。输出是满足的分配 如果没有满足该子句的分配,则子句数据库或 null 数据库。我的程序必须能够解决尽可能多的子句数据库。 我有一个要运行的文件列表,这些文件可能是稳定的,也可能不是,但我制作的程序对某些文件有效,但对于大多数文件来说,它是无法满足的。我认为 DPLL 方法存在一些问题,有人可以指导吗?