Certificate for #2990 ⟨a, b, c | aab=c, bcb=c⟩

Completion settings:

[1] aab=c

Axiom: aab=c.

Defines rule #2.

Referenced by [4].

[2] bcb=c

Axiom: bcb=c.

Defines rule #1.

Referenced by [3], [4].

[3] 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.

Referenced by [4].

[4] aac=bcc

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

aa b bcb

Critical pair: aac=ccb.

Reduce RHS:

[3](ccb)
⇒ bcc

Defines rule #3.