Certificate for #2296 ⟨a, b | abaaaab=bab⟩

Back:⟨a, b | abaaaab=bab⟩

Completion settings:

[1] abaaaab=bab

Axiom: abaaaab=bab.

Referenced by [3].

[2] bab=c

Axiom: bab=c.

Defines rule #5.

Referenced by [3], [4], [6], [7].

[3] abaaaab=c

Simplify [1] abaaaab=bab.

Reduce RHS:

[2](bab)
⇒ c

Defines rule #6.

Referenced by [5], [6], [7].

[4] bac=cab

Overlap of [2] bab=c with [2] bab=c:

ba b bab

Critical pair: bac=cab.

Defines rule #2.

[5] abaaac=caaaab

Overlap of [3] abaaaab=c with [3] abaaaab=c:

abaaa ab abaaaab

Critical pair: abaaac=caaaab.

Defines rule #3.

[6] abaaaac=cab

Overlap of [3] abaaaab=c with [2] bab=c:

abaaaa b bab

Critical pair: abaaaac=cab.

Defines rule #4.

[7] bc=caaaab

Overlap of [2] bab=c with [3] abaaaab=c:

b ab abaaaab

Critical pair: bc=caaaab.

Defines rule #1.