Certificate for #1072 ⟨a, b | aababa=abb⟩

Completion settings:

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

Axiom: aababa=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

Referenced by [3], [5].

Simplify [1] aababa=abb.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [3] aababa=c with [3] aababa=c:

Critical pair: aababc=cababa.

Flip LHS and RHS.

Defines rule #4.

Overlap of [3] aababa=c with [2] abb=c:

Critical pair: aababc=cbb.

Flip LHS and RHS.

Defines rule #3.