Certificate for #25204 ⟨a, b | aa=a, abbab=bba

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3], [5].

[2] abbab=bba

Axiom: abbab=bba.

Referenced by [3], [4].

[3] abba=bba

Overlap of [1] aa=a with [2] abbab=bba:

a a abbab

Critical pair: abba=abbab.

Reduce RHS:

[2](abbab)
bba

Defines rule #2.

Referenced by [4], [5].

[4] bbab=bba

Overlap of [2] abbab=bba with [3] abba=bba:

abbab abba

Critical pair: bbab=bba.

Defines rule #3.

Referenced by [5].

[5] bbbba=bba

Overlap of [4] bbab=bba with [3] abba=bba:

bb ab abba

Critical pair: bbbba=bbaba.

Reduce RHS:

[4](bbab)a
[1]bb(aa)
bba

Defines rule #4.