Certificate for #5936 ⟨a, b | abbbba=abbab⟩

Back:⟨a, b | abbbba=abbab⟩

Completion settings:

[1] abbbba=abbab

Axiom: abbbba=abbab.

Referenced by [3].

[2] abbab=c

Axiom: abbab=c.

Defines rule #5.

Referenced by [3], [4], [6], [7].

[3] abbbba=c

Simplify [1] abbbba=abbab.

Reduce RHS:

[2](abbab)
⇒ c

Defines rule #6.

Referenced by [5], [6], [7].

[4] cbab=abbc

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

abb ab abbab

Critical pair: abbc=cbab.

Flip LHS and RHS.

Defines rule #1.

[5] cbbbba=abbbbc

Overlap of [3] abbbba=c with [3] abbbba=c:

abbbb a abbbba

Critical pair: abbbbc=cbbbba.

Flip LHS and RHS.

Defines rule #4.

[6] cbbab=abbbbc

Overlap of [3] abbbba=c with [2] abbab=c:

abbbb a abbab

Critical pair: abbbbc=cbbab.

Flip LHS and RHS.

Defines rule #2.

[7] cbbba=abbc

Overlap of [2] abbab=c with [3] abbbba=c:

abb ab abbbba

Critical pair: abbc=cbbba.

Flip LHS and RHS.

Defines rule #3.