Certificate for #4842 ⟨a, b | ababbaba=abb⟩

Completion settings:

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

Axiom: ababbaba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Simplify [1] ababbaba=abb.

Reduce RHS:

Referenced by [4].

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

Critical pair: abcaba=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] abcaba=c with [2] abb=c:

Critical pair: abcabc=cbb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] abcaba=c with [4] abcaba=c:

Critical pair: abcabc=cbcaba.

Flip LHS and RHS.

Defines rule #4.