Certificate for #3021 ⟨a, b | aa=a, abba=bb

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abba=bb

Axiom: abba=bb.

Referenced by [3], [4].

[3] abb=bb

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

a a abba

Critical pair: abb=abba.

Reduce RHS:

[2](abba)
bb

Defines rule #2.

Referenced by [4].

[4] bba=bb

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

abba abb

Critical pair: bba=bb.

Defines rule #3.