Certificate for #2077 ⟨a, b | aab=b, bbaa=b

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3].

[2] bbaa=b

Axiom: bbaa=b.

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

[3] bbb=bb

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

bb aa aab

Critical pair: bbb=bb.

Referenced by [4].

[4] bb=b

Overlap of [3] bbb=bb with [2] bbaa=b:

b bb bbaa

Critical pair: bb=bbaa.

Reduce RHS:

[2](bbaa)
b

Defines rule #1.

Referenced by [5].

[5] baa=b

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

bbaa bb

Critical pair: baa=b.

Defines rule #3.