Certificate for #4879 ⟨a, b | abbbaaab=aaa⟩

Completion settings:

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

Axiom: abbbaaab=aaa.

Referenced by [3].

Axiom: bbb=c.

Defines rule #5.

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

Overlap of [1] abbbaaab=aaa with [2] bbb=c:

Critical pair: acaaab=aaa.

Referenced by [5], [6], [7].

Overlap of [2] bbb=c with [2] bbb=c:

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] acaaab=aaa with [2] bbb=c:

Critical pair: acaaac=aaabb.

Flip LHS and RHS.

Referenced by [6].

Overlap of [3] acaaab=aaa with [5] aaabb=acaaac:

Critical pair: acacaaac=aaab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] acaaab=aaa with [6] aaab=acacaaac:

Critical pair: acacacaaac=aaa.

Defines rule #1.

Referenced by [8].

Overlap of [7] acacacaaac=aaa with [7] acacacaaac=aaa:

Critical pair: acacacaaaaa=aaaacacaaac.

Flip LHS and RHS.

Defines rule #2.