Certificate for #17109 ⟨a, b | aaaa=1, aababb=b⟩

Completion settings:

[1] aaaa=1

Axiom: aaaa=1.

Defines rule #1.

Referenced by [3].

[2] aababb=b

Axiom: aababb=b.

Referenced by [3], [4].

[3] babb=aab

Overlap of [1] aaaa=1 with [2] aababb=b:

aa aa aababb

Critical pair: aab=babb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] babaab=b

Overlap of [3] babb=aab with [3] babb=aab:

bab b babb

Critical pair: babaab=aababb.

Reduce RHS:

[2](aababb)
⇒ b

Defines rule #3.