Certificate for #2234 ⟨a, b | aababaa=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: aababaa=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

Referenced by [3], [6].

Simplify [1] aababaa=abb.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5], [6].

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

Critical pair: aababc=cbabaa.

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: aababac=cababaa.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: aababac=cbb.

Flip LHS and RHS.

Defines rule #3.