有穷状态自动机的确定化代码
时间: 2023-06-18 18:07:13 浏览: 87
以下是一个简单的有穷状态自动机的确定化代码示例:
```python
class DFA:
def __init__(self, states, alphabet, transition_function, start_state, accept_states):
self.states = states # 所有状态
self.alphabet = alphabet # 字符集
self.transition_function = transition_function # 转移函数
self.start_state = start_state # 初始状态
self.accept_states = accept_states # 接受状态
def is_accept(self, string):
current_state = self.start_state # 当前状态
for char in string:
if char not in self.alphabet:
return False
current_state = self.transition_function[current_state][char] # 获取下一个状态
return current_state in self.accept_states # 判断最终状态是否为接受状态
def determinize(self):
new_states = set([self.start_state])
new_transition_function = {}
new_accept_states = []
queue = [self.start_state]
while queue:
state = queue.pop(0)
for char in self.alphabet:
next_state = set()
for s in state:
next_state |= set(self.transition_function[s][char])
next_state = tuple(sorted(next_state))
if next_state not in new_states:
new_states.add(next_state)
queue.append(next_state)
new_transition_function[state, char] = next_state
if self.accept_states.intersection(next_state):
new_accept_states.append(next_state)
return DFA(new_states, self.alphabet, new_transition_function, self.start_state, new_accept_states)
```
其中,`states` 是一个包含所有状态的集合,`alphabet` 是字符集,`transition_function` 是一个字典,用于表示转移函数,`start_state` 是初始状态,`accept_states` 是一个包含所有接受状态的集合。
`is_accept()` 方法用于判断一个字符串是否可以被该有穷状态自动机接受。
`determinize()` 方法用于将一个非确定性有穷状态自动机转换成一个确定性有穷状态自动机。该方法使用 BFS 算法来遍历所有可能的状态,并将其转换为一个元组(tuple),最终返回一个新的确定性有穷状态自动机。
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