Certificate for #4492 ⟨a, b | aaabaaba=aab⟩

Completion settings:

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

Axiom: aaabaaba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] aaabaaba=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabaaba=c with [2] aab=c:

Critical pair: acaaba=c.

Reduce LHS:

Defines rule #1.

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

Overlap of [4] acca=c with [2] aab=c:

Critical pair: accc=cab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [7].

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

Critical pair: accc=ccca.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] acca=c with [5] cab=accc:

Critical pair: acaccc=cb.

Flip LHS and RHS.

Defines rule #3.