需要这个DPLL算法来满足数据库条款

问题描述 投票:0回答:0
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?

java algorithm multidimensional-array conjunctive-normal-form dpll
© www.soinside.com 2019 - 2024. All rights reserved.