The Word Problem in the Baumslag group with a non-elementary Dehn function is polynomial time decidable

Journal of Algebra - Tập 345 - Trang 324 - 2011
Alexei Myasnikov1, Dong Wook Won2, Alexander Ushakov1
1Department of Mathematics, Stevens Institute of Technology, Hoboken, NJ, USA
2Department of Mathematics, CUNY/LAGCC, Long Island City, NY, USA

Tóm tắt

We prove that the Word Problem in the Baumslag group G ( 1 , 2 ) = 〈 a , b ; a a b = a 2 〉 which has a non-elementary Dehn function is decidable in polynomial time.

Từ khóa

#Word Problem #Baumslag group #One-relator group #Magnus breakdown algorithm #Power circuit #Computational complexity

Tài liệu tham khảo

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