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fix the code def epsilon _ closure ( states , epsilon _ transitions ) : closure = set ( states ) stack = list (

fix the code def epsilon_closure(states, epsilon_transitions):
closure = set(states)
stack = list(states)
while stack:
current_state = stack.pop()
if current_state in epsilon_transitions:
for next_state in epsilon_transitions[current_state]:
if next_state not in closure:
closure.add(next_state)
stack.append(next_state)
return closure
def nfa_to_dfa(nfa_states, alphabet, transitions, initial_state, accepting_states):
epsilon_transitions ={} # Epsilon transitions in NFA
for state in nfa_states:
epsilon_transitions[state]= set()
for state in nfa_states:
if ('', state) in transitions:
epsilon_transitions[state].update(transitions[('', state)])
dfa_states = set()
dfa_transitions ={}
dfa_initial_state = epsilon_closure({initial_state}, epsilon_transitions)
dfa_states.add(tuple(dfa_initial_state))
unprocessed_states =[tuple(dfa_initial_state)]
while unprocessed_states:
current_dfa_state = unprocessed_states.pop(0)
for symbol in alphabet:
next_states = set()
for state in current_dfa_state:
# Calculate epsilon-closure of next_states
next_dfa_state = set()
for state in next_states:
next_dfa_state.update(epsilon_closure({state}, epsilon_transitions))
# Convert to tuple because lists can't be dictionary keys
next_dfa_state = tuple(next_dfa_state)
# Add to DFA states if it's a new state
if next_dfa_state not in dfa_states:
dfa_states.add(next_dfa_state)
unprocessed_states.append(next_dfa_state)
# Add transition to DFA
dfa_transitions[(current_dfa_state, symbol)]= next_dfa_state
dfa_accepting_states =[state for state in dfa_states if any(s in accepting_states for s in state)]
return dfa_states, alphabet, dfa_transitions, dfa_initial_state, dfa_accepting_states
# Example from your description
nfa_states ={'90','91','92','93','94'}
alphabet ={'a','b'}
transitions ={('a','90'): {'91','92','93'},
('a','91'): {'94'},
('a','93'): {'94'},
('b','92'): {'93'}}
initial_state ='90'
accepting_states ={'94'}
dfa_states, dfa_alphabet, dfa_transitions, dfa_initial_state, dfa_accepting_states = nfa_to_dfa(
nfa_states, alphabet, transitions, initial_state, accepting_states
)
# Display DFA
print("DFA States:", dfa_states)
print("DFA Alphabet:", dfa_alphabet)
print("DFA Transitions:", dfa_transitions)
print("DFA Initial State:", dfa_initial_state)
print("DFA Accepting States:", dfa_accepting_states)

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