Certificate for #1581 ⟨a, b | aaa=aa, abb=b

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #3.

Referenced by [3].

[2] abb=b

Axiom: abb=b.

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

[3] aab=ab

Overlap of [1] aaa=aa with [2] abb=b:

aa a abb

Critical pair: aab=aabb.

Reduce RHS:

[2]a(abb)
ab

Referenced by [4].

[4] ab=b

Overlap of [3] aab=ab with [2] abb=b:

a ab abb

Critical pair: ab=abb.

Reduce RHS:

[2](abb)
b

Defines rule #1.

Referenced by [5].

[5] bb=b

Overlap of [2] abb=b with [4] ab=b:

abb ab

Critical pair: bb=b.

Defines rule #2.