Certificate for #5373 ⟨a, b, c | ab=a, bbcb=c⟩

Back:⟨a, b, c | ab=a, bbcb=c⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbcb=c

Axiom: bbcb=c.

Defines rule #3.

Referenced by [3], [4], [5].

[3] acb=ac

Overlap of [1] ab=a with [2] bbcb=c:

a b bbcb

Critical pair: ac=abcb.

Reduce RHS:

[1](ab)cb
⇒ acb

Flip LHS and RHS.

Defines rule #2.

[4] cbcb=bbcc

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

bbc b bbcb

Critical pair: bbcc=cbcb.

Flip LHS and RHS.

Defines rule #5.

Referenced by [5].

[5] ccb=bbbbcc

Overlap of [2] bbcb=c with [4] cbcb=bbcc:

bb cb cbcb

Critical pair: bbbbcc=ccb.

Flip LHS and RHS.

Defines rule #4.