Certificate for #16494 ⟨a, b | aab=aa, bab=aaa⟩

Back:⟨a, b | aab=aa, bab=aaa⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] bab=aaa

Axiom: bab=aaa.

Defines rule #2.

Referenced by [3], [4].

[3] aaaaa=aaa

Overlap of [1] aab=aa with [2] bab=aaa:

aa b bab

Critical pair: aaaaa=aaab.

Reduce RHS:

[1]a(aab)
⇒ aaa

Defines rule #4.

Referenced by [5].

[4] baaaa=aaaa

Overlap of [2] bab=aaa with [2] bab=aaa:

ba b bab

Critical pair: baaaa=aaaab.

Reduce RHS:

[1]aa(aab)
⇒ aaaa

Referenced by [5].

[5] baaa=aaa

Overlap of [4] baaaa=aaaa with [3] aaaaa=aaa:

b aaaa aaaaa

Critical pair: baaa=aaaaa.

Reduce RHS:

[3](aaaaa)
⇒ aaa

Defines rule #3.