Certificate for #4462 ⟨a, b, c | aba=1, bccc=c⟩

Completion settings:

[1] aba=1

Axiom: aba=1.

Referenced by [3], [4].

[2] bccc=c

Axiom: bccc=c.

Defines rule #4.

Referenced by [5].

[3] ba=ab

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

ab a aba

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] aab=1

Overlap of [1] aba=1 with [3] ba=ab:

a ba ba

Critical pair: aab=1.

Defines rule #3.

Referenced by [5].

[5] aac=ccc

Overlap of [4] aab=1 with [2] bccc=c:

aa b bccc

Critical pair: aac=ccc.

Defines rule #2.