Certificate for #19081 ⟨a, b | aab=b, bbbbaa=b

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

[2] bbbbaa=b

Axiom: bbbbaa=b.

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

[3] bbbbb=bb

Overlap of [2] bbbbaa=b with [1] aab=b:

bbbb aa aab

Critical pair: bbbbb=bb.

Referenced by [4].

[4] bbaa=bb

Overlap of [3] bbbbb=bb with [2] bbbbaa=b:

b bbbb bbbbaa

Critical pair: bb=bbaa.

Flip LHS and RHS.

Referenced by [5], [6].

[5] bbbb=b

Overlap of [2] bbbbaa=b with [4] bbaa=bb:

bb bbaa bbaa

Critical pair: bbbb=b.

Defines rule #3.

Referenced by [6].

[6] baa=b

Overlap of [5] bbbb=b with [4] bbaa=bb:

bb bb bbaa

Critical pair: bbbb=baa.

Reduce LHS:

[5](bbbb)
b

Flip LHS and RHS.

Defines rule #2.