Certificate for #4126 ⟨a, b | aab=aaa, bab=a⟩

Back:⟨a, b | aab=aaa, bab=a⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3], [4].

[2] bab=a

Axiom: bab=a.

Defines rule #3.

Referenced by [3], [4].

[3] baa=aaa

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

ba b bab

Critical pair: baa=aab.

Reduce RHS:

[1](aab)
⇒ aaa

Defines rule #2.

[4] aaaaa=aaa

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

aa b bab

Critical pair: aaa=aaaab.

Reduce RHS:

[1]aa(aab)
⇒ aaaaa

Flip LHS and RHS.

Defines rule #4.