Certificate for #15966 ⟨a, b | aaa=aa, abba=bb

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #1.

Referenced by [3].

[2] abba=bb

Axiom: abba=bb.

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

[3] aabb=abb

Overlap of [1] aaa=aa with [2] abba=bb:

aa a abba

Critical pair: aabb=aabba.

Reduce RHS:

[2]a(abba)
abb

Referenced by [4].

[4] abb=bb

Overlap of [3] aabb=abb with [2] abba=bb:

a abb abba

Critical pair: abb=abba.

Reduce RHS:

[2](abba)
bb

Defines rule #2.

Referenced by [5].

[5] bba=bb

Overlap of [2] abba=bb with [4] abb=bb:

abba abb

Critical pair: bba=bb.

Defines rule #3.