Certificate for #2286 ⟨a, b | aabbbba=abb⟩

Completion settings:

• Auxiliary generators:
  1. c = abbb
• Reduction order:
  • Right-to-left recursive path with deg(c) = 0; deg(a) = deg(b) = 1, a < b

Axiom: aabbbba=abb.

Referenced by [3].

Axiom: abbb=c.

Referenced by [3], [4].

Overlap of [1] aabbbba=abb with [2] abbb=c:

Critical pair: acba=abb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] abbb=c with [3] abb=acba:

Critical pair: acbab=c.

Defines rule #4.

Referenced by [5], [6].

Overlap of [4] acbab=c with [3] abb=acba:

Critical pair: acbacba=cb.

Defines rule #6.

Referenced by [6], [7].

Overlap of [5] acbacba=cb with [4] acbab=c:

Critical pair: acbc=cbb.

Flip LHS and RHS.

Defines rule #1.

Referenced by [8].

Overlap of [5] acbacba=cb with [5] acbacba=cb:

Critical pair: acbcb=cbcba.

Defines rule #3.

Referenced by [8], [9].

Overlap of [7] acbcb=cbcba with [6] cbb=acbc:

Critical pair: acbacbc=cbcbab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [9].

Overlap of [7] acbcb=cbcba with [8] cbcbab=acbacbc:

Critical pair: aacbacbc=cbcbaab.

Defines rule #7.