Certificate for #16178 ⟨a, b | aab=ab, baaa=ab

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Referenced by [3].

[2] ab=baaa

Axiom: baaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=baaa

Simplify [1] aab=ab.

Reduce RHS:

[2](ab)
baaa

Referenced by [4].

[4] baaaaaa=baaa

Overlap of [3] aab=baaa with [2] ab=baaa:

a ab ab

Critical pair: abaaa=baaa.

Reduce LHS:

[2](ab)aaa
baaaaaa

Defines rule #1.