Certificate for #5012 ⟨a, b | aaabaaa=aaab⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < c < b
• Auxiliary generators:
  1. aaab=c

Axiom: aaabaaa=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #3.

Referenced by [3], [4], [5], [6], [7].

Simplify [1] aaabaaa=aaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabaaa=c with [2] aaab=c:

Critical pair: caaa=c.

Defines rule #4.

Referenced by [5], [6], [7].

Overlap of [4] caaa=c with [2] aaab=c:

Critical pair: cc=cb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [4] caaa=c with [2] aaab=c:

Critical pair: cac=cab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] caaa=c with [2] aaab=c:

Critical pair: caac=caab.

Flip LHS and RHS.

Defines rule #5.