Certificate for #1803 ⟨a, b | abbaabaab=a⟩

Completion settings:

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

Axiom: abbaabaab=a.

Referenced by [3].

Axiom: baa=c.

Defines rule #6.

Referenced by [3], [4], [5], [8].

Overlap of [1] abbaabaab=a with [2] baa=c:

Critical pair: abcbaab=a.

Reduce LHS:

Defines rule #4.

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

Overlap of [2] baa=c with [3] abccb=a:

Critical pair: baa=cbccb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6], [7].

Overlap of [3] abccb=a with [2] baa=c:

Critical pair: abccc=aaa.

Flip LHS and RHS.

Defines rule #7.

Referenced by [8].

Overlap of [3] abccb=a with [4] cbccb=c:

Critical pair: abcc=accb.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: cbcc=cccb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] baa=c with [5] aaa=abccc:

Critical pair: babccc=ca.

Flip LHS and RHS.

Defines rule #5.