Certificate for #2360 ⟨a, b | abbbbba=abb⟩

Back:⟨a, b | abbbbba=abb⟩

Completion settings:

[1] abbbbba=abb

Axiom: abbbbba=abb.

Referenced by [3].

[2] abbbb=c

Axiom: abbbb=c.

Referenced by [3], [4].

[3] abb=cba

Overlap of [1] abbbbba=abb with [2] abbbb=c:

abbbbba abbbb

Critical pair: cba=abb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

[4] cbcba=c

Overlap of [2] abbbb=c with [3] abb=cba:

abbbb abb

Critical pair: cbabb=c.

Reduce LHS:

[3]cb(abb)
⇒ cbcba

Defines rule #3.

Referenced by [5].

[5] cbb=cbc

Overlap of [4] cbcba=c with [3] abb=cba:

cbcb a abb

Critical pair: cbcbcba=cbb.

Reduce LHS:

[4]cb(cbcba)
⇒ cbc

Flip LHS and RHS.

Defines rule #1.