Certificate for #4724 ⟨a, b | aabbbaba=aab⟩

Back:⟨a, b | aabbbaba=aab⟩

Completion settings:

[1] aabbbaba=aab

Axiom: aabbbaba=aab.

Referenced by [3].

[2] bbbaba=c

Axiom: bbbaba=c.

Defines rule #3.

Referenced by [3], [4], [5], [6].

[3] aab=aac

Overlap of [1] aabbbaba=aab with [2] bbbaba=c:

aa bbbaba bbbaba

Critical pair: aac=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

[4] cab=cac

Overlap of [2] bbbaba=c with [3] aab=aac:

bbbab a aab

Critical pair: bbbabaac=cab.

Reduce LHS:

[2](bbbaba)ac
⇒ cac

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

[5] aacbbaba=aac

Overlap of [3] aab=aac with [2] bbbaba=c:

aa b bbbaba

Critical pair: aac=aacbbaba.

Flip LHS and RHS.

Defines rule #4.

[6] cacbbaba=cac

Overlap of [4] cab=cac with [2] bbbaba=c:

ca b bbbaba

Critical pair: cac=cacbbaba.

Flip LHS and RHS.

Defines rule #5.