Certificate for #16018 ⟨a, b | aaa=ab, baab=ab⟩

Back:⟨a, b | aaa=ab, baab=ab⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] baaaa=aaa

Axiom: baab=ab.

Reduce LHS:

[1]ba(ab)
⇒ baaaa

Reduce RHS:

[1](ab)
⇒ aaa

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

[3] aaaaaaa=aaaa

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

a b baaaa

Critical pair: aaaa=aaaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] aaaaaa=aaa

Overlap of [2] baaaa=aaa with [3] aaaaaaa=aaaa:

b aaaa aaaaaaa

Critical pair: baaaa=aaaaaa.

Reduce LHS:

[2](baaaa)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

[5] baaa=aaaaa

Overlap of [2] baaaa=aaa with [4] aaaaaa=aaa:

b aaaa aaaaaa

Critical pair: baaa=aaaaa.

Defines rule #2.