Certificate for #2618 ⟨a, b | abbaab=aabb

Completion settings:

[1] abbaab=aabb

Axiom: abbaab=aabb.

Referenced by [3].

[2] aab=c

Axiom: aab=c.

Defines rule #2.

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

[3] abbaab=cb

Simplify [1] abbaab=aabb.

Reduce RHS:

[2](aab)b
cb

Referenced by [4].

[4] abbc=cb

Overlap of [3] abbaab=cb with [2] aab=c:

abb aab aab

Critical pair: abbc=cb.

Defines rule #3.

Referenced by [5].

[5] acb=cbc

Overlap of [2] aab=c with [4] abbc=cb:

a ab abbc

Critical pair: acb=cbc.

Defines rule #1.