Certificate for #16034 ⟨a, b | aaa=ab, bbab=ab⟩

Back:⟨a, b | aaa=ab, bbab=ab⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bbaaa=aaa

Axiom: bbab=ab.

Reduce LHS:

[1]bb(ab)
⇒ bbaaa

Reduce RHS:

[1](ab)
⇒ aaa

Defines rule #3.

Referenced by [3].

[3] aaaaaaaa=aaaa

Overlap of [1] ab=aaa with [2] bbaaa=aaa:

a b bbaaa

Critical pair: aaaa=aaabaaa.

Reduce RHS:

[1]aa(ab)aaa
⇒ aaaaaaaa

Flip LHS and RHS.

Defines rule #1.