Certificate for #17105 ⟨a, b | aaaa=1, aabaab=b⟩

Back:⟨a, b | aaaa=1, aabaab=b⟩

Completion settings:

[1] aaaa=1

Axiom: aaaa=1.

Defines rule #2.

Referenced by [3], [5].

[2] aabaab=b

Axiom: aabaab=b.

Referenced by [3], [4].

[3] baab=aab

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

aa aa aabaab

Critical pair: aab=baab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] aabb=aab

Overlap of [2] aabaab=b with [2] aabaab=b:

aab aab aabaab

Critical pair: aabb=baab.

Reduce RHS:

[3](baab)
⇒ aab

Referenced by [5].

[5] bb=b

Overlap of [1] aaaa=1 with [4] aabb=aab:

aa aa aabb

Critical pair: aaaab=bb.

Reduce LHS:

[1](aaaa)b
⇒ b

Flip LHS and RHS.

Defines rule #1.