Certificate for #2021 ⟨a, b, c | abc=cb, bcc=1⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1

Axiom: abc=cb.

Referenced by [3], [4].

Axiom: bcc=1.

Defines rule #2.

Referenced by [3], [5].

Overlap of [1] abc=cb with [2] bcc=1:

Critical pair: a=cbc.

Defines rule #3.

Referenced by [4].

Overlap of [1] abc=cb with [3] a=cbc:

Critical pair: cbcbc=cb.

Referenced by [5], [6].

Overlap of [2] bcc=1 with [4] cbcbc=cb:

Critical pair: bccb=bcbc.

Reduce LHS:

Flip LHS and RHS.

Referenced by [6].

Overlap of [5] bcbc=b with [4] cbcbc=cb:

Critical pair: bcb=bbc.

Defines rule #1.