Certificate for #4687 ⟨a, b | aaab=b, baab=a⟩

Back:⟨a, b | aaab=b, baab=a⟩

Completion settings:

[1] aaab=b

Axiom: aaab=b.

Defines rule #2.

Referenced by [3], [4].

[2] baab=a

Axiom: baab=a.

Defines rule #4.

Referenced by [3], [4].

[3] aaaa=a

Overlap of [1] aaab=b with [2] baab=a:

aaa b baab

Critical pair: aaaa=baab.

Reduce RHS:

[2](baab)
⇒ a

Defines rule #1.

[4] baaa=b

Overlap of [2] baab=a with [2] baab=a:

baa b baab

Critical pair: baaa=aaab.

Reduce RHS:

[1](aaab)
⇒ b

Defines rule #3.