Certificate for #12960 ⟨a, b | aba=aab, bbba=a⟩

Back:⟨a, b | aba=aab, bbba=a⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3], [4].

[2] bbba=a

Axiom: bbba=a.

Defines rule #2.

Referenced by [3].

[3] ababba=aaa

Overlap of [1] aab=aba with [2] bbba=a:

aa b bbba

Critical pair: aaa=ababba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] abababa=aaaa

Overlap of [1] aab=aba with [3] ababba=aaa:

a ab ababba

Critical pair: aaaa=abaabba.

Reduce RHS:

[1]ab(aab)ba
⇒ abababa

Flip LHS and RHS.

Defines rule #4.