Certificate for #12311 ⟨a, b | aaab=bb, baaa=b⟩

Back:⟨a, b | aaab=bb, baaa=b⟩

Completion settings:

[1] bb=aaab

Axiom: aaab=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[2] baaa=b

Axiom: baaa=b.

Defines rule #1.

Referenced by [3].

[3] aaaaaab=aaab

Overlap of [1] bb=aaab with [1] bb=aaab:

b b bb

Critical pair: baaab=aaabb.

Reduce LHS:

[2](baaa)b
[1]⇒ (bb)
⇒ aaab

Reduce RHS:

[1]aaa(bb)
⇒ aaaaaab

Flip LHS and RHS.

Defines rule #2.