Certificate for #19276 ⟨a, b | aaa=a, abbab=bb

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #4.

Referenced by [3].

[2] abbab=bb

Axiom: abbab=bb.

Referenced by [3], [4], [5], [6].

[3] aabb=bb

Overlap of [1] aaa=a with [2] abbab=bb:

aa a abbab

Critical pair: aabb=abbab.

Reduce RHS:

[2](abbab)
bb

Referenced by [4].

[4] abb=bbab

Overlap of [3] aabb=bb with [2] abbab=bb:

a abb abbab

Critical pair: abb=bbab.

Defines rule #2.

Referenced by [5], [6].

[5] bbabab=bb

Overlap of [2] abbab=bb with [4] abb=bbab:

abbab abb

Critical pair: bbabab=bb.

Defines rule #3.

Referenced by [6].

[6] bbbbbb=bbb

Overlap of [2] abbab=bb with [4] abb=bbab:

abb ab abb

Critical pair: abbbbab=bbb.

Reduce LHS:

[4](abb)bbab
[4]bb(abb)bab
[4]bbbb(abb)ab
[5]bbbb(bbabab)
bbbbbb

Defines rule #1.