Certificate for #2218 ⟨a, b | aabaaba=abb⟩

Back:⟨a, b | aabaaba=abb⟩

Completion settings:

[1] aabaaba=abb

Axiom: aabaaba=abb.

Referenced by [3].

[2] abb=c

Axiom: abb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aabaaba=c

Simplify [1] aabaaba=abb.

Reduce RHS:

[2](abb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] caba=aabc

Overlap of [3] aabaaba=c with [3] aabaaba=c:

aab aaba aabaaba

Critical pair: aabc=caba.

Flip LHS and RHS.

Defines rule #3.

[5] cbb=aabaabc

Overlap of [3] aabaaba=c with [2] abb=c:

aabaab a abb

Critical pair: aabaabc=cbb.

Flip LHS and RHS.

Defines rule #4.