Certificate for #476 ⟨a, b | ababba=ab⟩

Completion settings:

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

Axiom: ababba=ab.

Referenced by [3].

Axiom: abb=c.

Defines rule #4.

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

Overlap of [1] ababba=ab with [2] abb=c:

Critical pair: abca=ab.

Defines rule #2.

Referenced by [4], [5].

Overlap of [3] abca=ab with [2] abb=c:

Critical pair: abcc=abbb.

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] abca=ab with [3] abca=ab:

Critical pair: abcab=abbca.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.