Certificate for #2745 ⟨a, b | baaab=ababa⟩

Back:⟨a, b | baaab=ababa⟩

Completion settings:

[1] baaab=ababa

Axiom: baaab=ababa.

Referenced by [3].

[2] ababa=c

Axiom: ababa=c.

Defines rule #4.

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

[3] baaab=c

Simplify [1] baaab=ababa.

Reduce RHS:

[2](ababa)
⇒ c

Defines rule #5.

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

[4] cba=abc

Overlap of [2] ababa=c with [2] ababa=c:

ab aba ababa

Critical pair: abc=cba.

Flip LHS and RHS.

Defines rule #1.

[5] caaab=baaac

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

baaa b baaab

Critical pair: baaac=caaab.

Flip LHS and RHS.

Defines rule #6.

[6] caba=baac

Overlap of [3] baaab=c with [2] ababa=c:

baa ab ababa

Critical pair: baac=caba.

Flip LHS and RHS.

Defines rule #3.

[7] caab=abac

Overlap of [2] ababa=c with [3] baaab=c:

aba ba baaab

Critical pair: abac=caab.

Flip LHS and RHS.

Defines rule #2.