利用hashmap实现dfa化简Java代码实现

以下是利用hashmap实现dfa化简的Java代码实现：

import java.util.*;

public class DFAMinimization {
    public static void main(String[] args) {
        // 输入DFA的状态转移表
        int[][] transitionTable = {{1, 2}, {2, 3}, {1, 4}, {4, 3}, {2, 5}, {4, 6}, {5, 4}, {6, 5}};

        // 输入DFA的终止状态集合
        Set<Integer> finalStates = new HashSet<>();
        finalStates.add(3);
        finalStates.add(5);
        finalStates.add(6);

        // 对状态进行编号
        Map<Set<Integer>, Integer> stateMap = new HashMap<>();
        int stateCount = 0;
        Queue<Set<Integer>> queue = new LinkedList<>();
        Set<Integer> initialStateSet = new HashSet<>();
        initialStateSet.add(0);
        initialStateSet.add(1);
        queue.offer(initialStateSet);
        stateMap.put(initialStateSet, stateCount++);
        while (!queue.isEmpty()) {
            Set<Integer> currentStateSet = queue.poll();
            for (int j = 0; j < transitionTable[0].length; j++) {
                Set<Integer> nextStateSet = new HashSet<>();
                for (int state : currentStateSet) {
                    nextStateSet.add(transitionTable[state][j]);
                }
                if (!stateMap.containsKey(nextStateSet)) {
                    stateMap.put(nextStateSet, stateCount++);
                    queue.offer(nextStateSet);
                }
            }
        }

        // 构建简化后的DFA的状态转移表
        int[][] minimizedTransitionTable = new int[stateCount][transitionTable[0].length];
        for (Set<Integer> currentStateSet : stateMap.keySet()) {
            int currentState = stateMap.get(currentStateSet);
            for (int j = 0; j < transitionTable[0].length; j++) {
                Set<Integer> nextStateSet = new HashSet<>();
                for (int state : currentStateSet) {
                    nextStateSet.add(transitionTable[state][j]);
                }
                int nextState = stateMap.get(nextStateSet);
                minimizedTransitionTable[currentState][j] = nextState;
            }
        }

        // 构建简化后的DFA的终止状态集合
        Set<Integer> minimizedFinalStates = new HashSet<>();
        for (Set<Integer> currentStateSet : stateMap.keySet()) {
            int currentState = stateMap.get(currentStateSet);
            for (int state : currentStateSet) {
                if (finalStates.contains(state)) {
                    minimizedFinalStates.add(currentState);
                    break;
                }
            }
        }

        // 输出简化后的DFA的状态转移表和终止状态集合
        System.out.println("Minimized Transition Table:");
        for (int[] row : minimizedTransitionTable) {
            System.out.println(Arrays.toString(row));
        }
        System.out.println("Minimized Final States: " + minimizedFinalStates);
    }
}

其中，`transitionTable`表示DFA的状态转移表，`finalStates`表示DFA的终止状态集合。首先，使用`stateMap`对状态进行编号，从而得到简化后DFA的状态转移表`minimizedTransitionTable`和终止状态集合`minimizedFinalStates`。最后，输出简化后的DFA的状态转移表和终止状态集合。