Certificate for #16424 ⟨a, b | aba=ab, bbaa=bb⟩

Back:⟨a, b | aba=ab, bbaa=bb⟩

Completion settings:

[1] aba=ab

Axiom: aba=ab.

Defines rule #1.

Referenced by [3], [4].

[2] bbaa=bb

Axiom: bbaa=bb.

Defines rule #3.

Referenced by [4].

[3] abba=abb

Overlap of [1] aba=ab with [1] aba=ab:

ab a aba

Critical pair: abab=abba.

Reduce LHS:

[1](aba)b
⇒ abb

Flip LHS and RHS.

Defines rule #2.

[4] bbba=bbb

Overlap of [2] bbaa=bb with [1] aba=ab:

bba a aba

Critical pair: bbaab=bbba.

Reduce LHS:

[2](bbaa)b
⇒ bbb

Flip LHS and RHS.

Defines rule #4.