Certificate for #937 ⟨a, b | ab=a, baaa=b⟩

Back:⟨a, b | ab=a, baaa=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3], [4].

[2] baaa=b

Axiom: baaa=b.

Defines rule #4.

Referenced by [3], [4].

[3] aaaa=a

Overlap of [1] ab=a with [2] baaa=b:

a b baaa

Critical pair: ab=aaaa.

Reduce LHS:

[1](ab)
⇒ a

Flip LHS and RHS.

Defines rule #3.

[4] bb=b

Overlap of [2] baaa=b with [1] ab=a:

baa a ab

Critical pair: baaa=bb.

Reduce LHS:

[2](baaa)
⇒ b

Flip LHS and RHS.

Defines rule #2.