Certificate for #1593 ⟨a, b | aaa=ab, baa=b⟩

Back:⟨a, b | aaa=ab, baa=b⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

[2] baa=b

Axiom: baa=b.

Defines rule #2.

Referenced by [3], [4].

[3] aaaaa=aaa

Overlap of [1] ab=aaa with [2] baa=b:

a b baa

Critical pair: ab=aaaaa.

Reduce LHS:

[1](ab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.

[4] bb=b

Overlap of [2] baa=b with [1] ab=aaa:

ba a ab

Critical pair: baaaa=bb.

Reduce LHS:

[2](baa)aa
[2]⇒ (baa)
⇒ b

Flip LHS and RHS.

Defines rule #4.