左线性文法转化为有限自动机的代码
时间: 2024-04-30 09:21:22 浏览: 90
以下是将左线性文法转化为有限自动机的 Python 代码:
```python
class LeftLinearGrammar:
def __init__(self, productions, start_symbol):
self.productions = productions
self.start_symbol = start_symbol
def to_finite_automaton(self):
states = set()
alphabet = set()
transitions = {}
start_state = self.start_symbol + "_0"
final_states = set()
# Create states for each non-terminal symbol
for prod in self.productions:
states.add(prod[0])
# Create states for each production and add transitions
for i, prod in enumerate(self.productions):
prod_state = prod[0] + "_" + str(i)
if i == 0:
transitions[(start_state, prod[1][0])] = [prod_state]
else:
transitions[(prev_prod_state, prod[1][0])] = [prod_state]
# Add transitions for the rest of the symbols
for j in range(1, len(prod[1])):
curr_state = prod[0] + "_" + str(i)
next_state = prod[0] + "_" + str(i+1) if j == len(prod[1])-1 else prod[0] + "_" + str(i) + "_" + str(j)
transitions[(curr_state, prod[1][j])] = [next_state]
states.add(curr_state)
states.add(next_state)
alphabet.add(prod[1][j])
prev_prod_state = prod_state
prod_state = next_state
# Add final state to the final set
if prod[1] == "":
final_states.add(prod_state)
# Add start state to the set of states
states.add(start_state)
return FiniteAutomaton(states, alphabet, transitions, start_state, final_states)
```
该代码中使用了一个 `LeftLinearGrammar` 类来表示左线性文法,并提供了一个 `to_finite_automaton()` 方法,该方法将左线性文法转换为等价的有限自动机。
具体来说,该方法会遍历每个产生式,并为每个非终端符号和每个产生式创建一个状态。然后,它会根据产生式的规则添加转移。最后,它会返回一个 `FiniteAutomaton` 类型的对象,该对象包含有限自动机的所有组件。
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