Certificate for #5857 ⟨a, b | abaaba=babab⟩

Completion settings:

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

Axiom: abaaba=babab.

Referenced by [3].

Axiom: aba=c.

Defines rule #5.

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

Simplify [1] abaaba=babab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaaba=bcb with [2] aba=c:

Critical pair: caba=bcb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [6], [7].

Overlap of [2] aba=c with [2] aba=c:

Critical pair: abc=cba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Overlap of [4] bcb=cc with [4] bcb=cc:

Critical pair: bccc=cccb.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] bcb=cc with [5] cba=abc:

Critical pair: babc=cca.

Flip LHS and RHS.

Defines rule #4.