Certificate for #7275 ⟨a, b, c | aa=1, bccb=bc⟩

Back:⟨a, b, c | aa=1, bccb=bc⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

[2] bccb=bc

Axiom: bccb=bc.

Referenced by [4].

[3] bcc=d

Axiom: bcc=d.

Referenced by [4], [5].

[4] bc=db

Overlap of [2] bccb=bc with [3] bcc=d:

bccb bcc

Critical pair: db=bc.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

[5] ddb=d

Overlap of [3] bcc=d with [4] bc=db:

bcc bc

Critical pair: dbc=d.

Reduce LHS:

[4]d(bc)
⇒ ddb

Defines rule #4.

Referenced by [6].

[6] dc=dd

Overlap of [5] ddb=d with [4] bc=db:

dd b bc

Critical pair: dddb=dc.

Reduce LHS:

[5]d(ddb)
⇒ dd

Flip LHS and RHS.

Defines rule #2.