Certificate for #5289 ⟨a, b | abaaaab=baaa⟩

Back:⟨a, b | abaaaab=baaa⟩

Completion settings:

[1] abaaaab=baaa

Axiom: abaaaab=baaa.

Referenced by [3].

[2] baaa=c

Axiom: baaa=c.

Defines rule #2.

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

[3] abaaaab=c

Simplify [1] abaaaab=baaa.

Reduce RHS:

[2](baaa)
⇒ c

Referenced by [4].

[4] acab=c

Overlap of [3] abaaaab=c with [2] baaa=c:

a baaaab baaa

Critical pair: acab=c.

Defines rule #1.

Referenced by [5], [6].

[5] ccab=baac

Overlap of [2] baaa=c with [4] acab=c:

baa a acab

Critical pair: baac=ccab.

Flip LHS and RHS.

Defines rule #4.

[6] caaa=acac

Overlap of [4] acab=c with [2] baaa=c:

aca b baaa

Critical pair: acac=caaa.

Flip LHS and RHS.

Defines rule #3.