Certificate for #225 ⟨a, b | abaab=ba⟩

Completion settings:

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

Axiom: abaab=ba.

Referenced by [3].

Axiom: baa=c.

Referenced by [3], [4].

Overlap of [1] abaab=ba with [2] baa=c:

Critical pair: acb=ba.

Flip LHS and RHS.

Defines rule #3.

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

Overlap of [2] baa=c with [3] ba=acb:

Critical pair: acba=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6], [8].

Overlap of [3] ba=acb with [4] acacb=c:

Critical pair: bc=acbcacb.

Flip LHS and RHS.

Referenced by [9].

Overlap of [4] acacb=c with [3] ba=acb:

Critical pair: acacacb=ca.

Reduce LHS:

Defines rule #1.

Referenced by [7].

Overlap of [3] ba=acb with [6] acc=ca:

Critical pair: bca=acbcc.

Flip LHS and RHS.

Referenced by [8].

Overlap of [4] acacb=c with [7] acbcc=bca:

Critical pair: acbca=ccc.

Referenced by [9].

Simplify [5] acbcacb=bc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.