Certificate for #1734 ⟨a, b, c | aab=ca, bcb=1⟩

Completion settings:

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

Axiom: aab=ca.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Axiom: bcb=1.

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

Overlap of [2] bcb=1 with [2] bcb=1:

Critical pair: bc=cb.

Defines rule #7.

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

Overlap of [2] bcb=1 with [3] bc=cb:

Critical pair: cbb=1.

Defines rule #5.

Referenced by [9].

Overlap of [3] bc=cb with [1] ca=aab:

Critical pair: baab=cba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [2] bcb=1 with [5] cba=baab:

Critical pair: bbaab=a.

Defines rule #2.

Referenced by [7], [8].

Overlap of [6] bbaab=a with [3] bc=cb:

Critical pair: bbaacb=ac.

Referenced by [9], [10].

Overlap of [6] bbaab=a with [6] bbaab=a:

Critical pair: bbaaa=abaab.

Defines rule #1.

Overlap of [7] bbaacb=ac with [4] cbb=1:

Critical pair: bbaa=acb.

Flip LHS and RHS.

Referenced by [10].

Overlap of [7] bbaacb=ac with [9] acb=bbaa:

Critical pair: bbabbaa=ac.

Flip LHS and RHS.

Defines rule #6.