Certificate for #16388 ⟨a, b | aba=ab, aabb=bb

Completion settings:

[1] aba=ab

Axiom: aba=ab.

Defines rule #1.

Referenced by [3].

[2] aabb=bb

Axiom: aabb=bb.

Defines rule #3.

Referenced by [4].

[3] abba=abb

Overlap of [1] aba=ab with [1] aba=ab:

ab a aba

Critical pair: abab=abba.

Reduce LHS:

[1](aba)b
abb

Flip LHS and RHS.

Referenced by [4].

[4] bba=bb

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

a abb abba

Critical pair: aabb=bba.

Reduce LHS:

[2](aabb)
bb

Flip LHS and RHS.

Defines rule #2.