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She received a B.S. in Mathematics and Computer Science (summa cum laude) in 1980, an M.S. in Computer Science in 1982, and Ph.D. (Advisors: William Swartout, Gerald Estrin) in 1989, all from UCLA.
Moore was elected to the UCLA chapter of Phi Beta Kappa in 1980. She held an Office of Naval Research Fellowship from 1982 to 1985, and was an International Business Machines Fellow from 1985 to 1987. She held a National Science Foundation National Young Investigator Award, from 1994 to 1999. She has been Chair of the Cognitive Science Society and was President of the Association for Computational Linguistics in 2004.