Certificate for #2940 ⟨a, b, c | aab=b, bcb=c⟩

Back:⟨a, b, c | aab=b, bcb=c⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

[2] bcb=c

Axiom: bcb=c.

Defines rule #3.

Referenced by [3], [4].

[3] aac=c

Overlap of [1] aab=b with [2] bcb=c:

aa b bcb

Critical pair: aac=bcb.

Reduce RHS:

[2](bcb)
⇒ c

Defines rule #2.

[4] ccb=bcc

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

bc b bcb

Critical pair: bcc=ccb.

Flip LHS and RHS.

Defines rule #4.