Certificate for #2219 ⟨a, b | aabaaba=baa⟩

Back:⟨a, b | aabaaba=baa⟩

Completion settings:

[1] aabaaba=baa

Axiom: aabaaba=baa.

Referenced by [3].

[2] baa=c

Axiom: baa=c.

Defines rule #4.

Referenced by [3], [4], [5], [6], [7].

[3] aabaaba=c

Simplify [1] aabaaba=baa.

Reduce RHS:

[2](baa)
⇒ c

Referenced by [4].

[4] aacba=c

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

aa baaba baa

Critical pair: aacba=c.

Defines rule #2.

Referenced by [5], [6], [7].

[5] bc=ccba

Overlap of [2] baa=c with [4] aacba=c:

b aa aacba

Critical pair: bc=ccba.

Defines rule #3.

[6] bac=cacba

Overlap of [2] baa=c with [4] aacba=c:

ba a aacba

Critical pair: bac=cacba.

Defines rule #5.

[7] aacc=ca

Overlap of [4] aacba=c with [2] baa=c:

aac ba baa

Critical pair: aacc=ca.

Defines rule #1.