Certificate for #464 ⟨a, b, c | ba=ab, cac=1⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < c < b

Axiom: ba=ab.

Defines rule #2.

Referenced by [5].

Axiom: cac=1.

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

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

Critical pair: ca=ac.

Defines rule #1.

Referenced by [4], [6].

Overlap of [2] cac=1 with [3] ca=ac:

Critical pair: acc=1.

Defines rule #3.

Referenced by [5].

Overlap of [1] ba=ab with [4] acc=1:

Critical pair: b=abcc.

Flip LHS and RHS.

Referenced by [6].

Overlap of [3] ca=ac with [5] abcc=b:

Critical pair: cb=acbcc.

Flip LHS and RHS.

Referenced by [7].

Overlap of [2] cac=1 with [6] acbcc=cb:

Critical pair: ccb=bcc.

Flip LHS and RHS.

Defines rule #4.