Certificate for #261 ⟨a, b | abab=aba⟩

Completion settings:

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

Axiom: abab=aba.

Referenced by [3].

Axiom: aba=c.

Defines rule #3.

Referenced by [3], [4], [5].

Simplify [1] abab=aba.

Reduce RHS:

Referenced by [4].

Overlap of [3] abab=c with [2] aba=c:

Critical pair: cb=c.

Defines rule #1.

Referenced by [5].

Overlap of [2] aba=c with [2] aba=c:

Critical pair: abc=cba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.