Certificate for #5117 ⟨a, b, c | aa=a, abac=b⟩

Back:⟨a, b, c | aa=a, abac=b⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abac=b

Axiom: abac=b.

Referenced by [3], [4].

[3] ab=b

Overlap of [1] aa=a with [2] abac=b:

a a abac

Critical pair: ab=abac.

Reduce RHS:

[2](abac)
⇒ b

Defines rule #2.

Referenced by [4].

[4] bac=b

Overlap of [2] abac=b with [3] ab=b:

abac ab

Critical pair: bac=b.

Defines rule #3.