More than 5 million people are expected to vote today to determine if 15 reforms will be adopted, according to the election commission.
The proposed changes include measures to strengthen the National Assembly, improve representation for Senegalese abroad, provide greater rights for the opposition and boost participation of independent candidates in elections.
"We are a modern African democracy. Today in Africa, many countries impose mandates. Here we are giving referendums for which people can say yes or no," said voter Mamadou Diagne, 58, a human resources representative at an oil company. "It's very satisfying to be a Senegalese today." Diagne said all of the reforms represent advancement.
In February, however, the Constitutional Court rejected his proposal to shorten his present term, saying the referendum vote would determine future limits.
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Sall's effort to reduce term limits is in marked contrast to moves by other African leaders who have pushed to eliminate term limits so they can extend their time in power.
Marie Antoinette Sene, 51, a businesswoman said she voted "yes" on Sunday.
Others said they voted "no" because they mistrust Sall, who they say dragged his feet on reducing his own term.
"Sall promised he would reduce his term, and he didn't," said Cheikh Thiam Dia, 43, a representative of the "no" vote at station. That mistrust extends into other points on the referendum that voters such as Dia worry are too vague.