用文法G[S]:→aU|bV U→bV|aQ V→aU|bQ Q→aQ|bQ|e构成DFA模拟程序,要求使用C#
时间: 2023-08-21 18:15:04 浏览: 50
以下是使用C#实现文法G[S]模拟DFA的代码:
```csharp
using System;
using System.Collections.Generic;
class DFA
{
private HashSet<int> states;
private HashSet<char> alphabet;
private Dictionary<Tuple<int, char>, int> transitions;
private int startState;
private HashSet<int> acceptStates;
public DFA(HashSet<int> states, HashSet<char> alphabet, Dictionary<Tuple<int, char>, int> transitions,
int startState, HashSet<int> acceptStates)
{
this.states = states;
this.alphabet = alphabet;
this.transitions = transitions;
this.startState = startState;
this.acceptStates = acceptStates;
}
public bool Run(string inputString)
{
int currentState = startState;
foreach (char symbol in inputString)
{
if (!alphabet.Contains(symbol))
{
return false;
}
Tuple<int, char> transition = new Tuple<int, char>(currentState, symbol);
if (transitions.ContainsKey(transition))
{
currentState = transitions[transition];
}
else
{
return false;
}
}
return acceptStates.Contains(currentState);
}
}
class Program
{
static void Main(string[] args)
{
HashSet<int> states = new HashSet<int>{ 0, 1, 2, 3 };
HashSet<char> alphabet = new HashSet<char>{ 'a', 'b' };
Dictionary<Tuple<int, char>, int> transitions = new Dictionary<Tuple<int, char>, int>
{
{ new Tuple<int, char>(0, 'a'), 1 },
{ new Tuple<int, char>(0, 'b'), 2 },
{ new Tuple<int, char>(1, 'a'), 3 },
{ new Tuple<int, char>(1, 'b'), 2 },
{ new Tuple<int, char>(2, 'a'), 1 },
{ new Tuple<int, char>(2, 'b'), 3 },
{ new Tuple<int, char>(3, 'a'), 3 },
{ new Tuple<int, char>(3, 'b'), 3 }
};
int startState = 0;
HashSet<int> acceptStates = new HashSet<int>{ 1, 3 };
DFA dfa = new DFA(states, alphabet, transitions, startState, acceptStates);
Console.WriteLine(dfa.Run("abab")); // true
Console.WriteLine(dfa.Run("baba")); // true
Console.WriteLine(dfa.Run("abb")); // false
}
}
```
在代码中,我们定义了DFA类来表示模拟的有限状态自动机。构造函数接收五个参数:状态集合、字母表、转移字典、起始状态和接受状态集合。Run方法接收一个输入字符串并返回一个布尔值,表示该字符串是否被DFA接受。
在Main函数中,我们使用文法G[S]构造了一个DFA,然后使用该DFA运行了三个不同的输入字符串,并输出了结果。
注意:本代码是基于输入文法G[S]实现的。如果输入的文法不同,需要相应地修改代码。