Tata Institute of Fundamental Research

Is it associative?

STCS Student Seminar
Speaker: Shanthanu Suresh Rai (TIFR)
Organiser: Varun Ramanathan
Date: Friday, 6 Oct 2023, 15:45 to 17:15
Venue: A-201 (STCS Seminar Room)

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Abstract: 

Is a given binary operation * on a finite set X associative? We will see a O(n^2) time randomized algorithm for solving this problem (here n = |X|). If time permits, we will also see how the above algorithm can be extended for checking general "read-once" identities.

References:
- Jiri Matousek, Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra, American Mathematical Society, 2010
- Rajagopalan, Sridhar; Schulman, Leonard J. (2000). "Verification of Identities". SIAM Journal on Computing. 29 (4): 1155–1163