Certificate for #5315 ⟨a, b | abaabab=baaa⟩

Completion settings:

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

Axiom: abaabab=baaa.

Referenced by [3].

Axiom: baa=c.

Defines rule #1.

Referenced by [3], [4], [5], [6].

Simplify [1] abaabab=baaa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaabab=ca with [2] baa=c:

Critical pair: acbab=ca.

Defines rule #2.

Referenced by [5], [6].

Overlap of [2] baa=c with [4] acbab=ca:

Critical pair: baca=ccbab.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] acbab=ca with [2] baa=c:

Critical pair: acbac=caaa.

Flip LHS and RHS.

Defines rule #4.