Bard College Mathematics, Computer Science, and Physics Talks |
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Quandles and Decidability
Robert W. McGrail
ASC Laboratory
Bard College
Thursday, September 24, 2009
4:15 PM RKC 111 |
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The speaker presents a meta term rewriting system (TRS) for the laws of idempotence, right-cancellation, and right self-distributivity. Particular instances of this meta TRS demonstrate that the equational theories of quandles, involutory quandles, racks, and right symmmetric, right distributive groupoids (RSRD) are decidable. Moreover, another instance encodes the standard solution to the three-peg Tower of Hanoi problem. This is joint work with Peter Golbus of Northeastern University and Claudio Gutierrez of the University of Chile in Santiago. This talk will be accessible to those familiar with elementary formal mathematics. |
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