Certificate for #5705 ⟨a, b | aaaa=1, aabab=b⟩

Completion settings:

[1] aaaa=1

Axiom: aaaa=1.

Defines rule #2.

Referenced by [3].

[2] aabab=b

Axiom: aabab=b.

Referenced by [3], [4].

[3] bab=aab

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

aa aa aabab

Critical pair: aab=bab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] baaab=b

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

ba b bab

Critical pair: baaab=aabab.

Reduce RHS:

[2](aabab)
⇒ b

Defines rule #3.