Commentary for Sukkah 75:8
<big><strong>מתני׳</strong></big> מי שהיה עבד או אשה או קטן מקרין אותו עונה אחריהן מה שהן אומרין ותבא לו מאירה אם היה גדול מקרא אותו עונה אחריו הללויה מקום שנהגו לכפול יכפול לפשוט יפשוט לברך יברך הכל כמנהג המדינה:
One who has a slave, a woman, or a minor read [the Hallel] to him, he must repeat after them what they say, and a curse be upon him. If an adult recited to him, he repeats after him [only] Halleluyah. In a place where the custom is to repeat [verses], he should repeat; Where the custom is] to say them only once, he should say them once. [Where the custom is] to recite a blessing afterwards, he should recite the blessing afterwards. Everything is dependent on local custom.
Tosafot on Sukkah
It seems from here that women are exempt from reciting Hallel on Sukkos and Shavuos because it is a time-bound positive mitzvah. Although the Gemara implies that women are obligated in the four cups of wine on the first nights of Pesach, and the rabbis ostensibly only instituted the four cups to enhance the recitation of Hallel and Maggid, Hallel of Pesach is different because it commemorates the miracle and [women] also were part of the miracle.
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