Certificate for #16038 ⟨a, b | aaa=ab, bbba=ab

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bbba=aaa

Axiom: bbba=ab.

Reduce RHS:

[1](ab)
aaa

Defines rule #3.

Referenced by [3].

[3] aaaaaaaa=aaaa

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

a b bbba

Critical pair: aaaa=aaabba.

Reduce RHS:

[1]aa(ab)ba
[1]aaaa(ab)a
aaaaaaaa

Flip LHS and RHS.

Defines rule #1.