Certificate for #4674 ⟨a, b | aababbba=abb⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(c) = 1; deg(b) = 2
• Auxiliary generators:
  1. abb=c

Axiom: aababbba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Simplify [1] aababbba=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aababbba=c with [2] abb=c:

Critical pair: aabcba=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aabcba=c with [2] abb=c:

Critical pair: aabcbc=cbb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] aabcba=c with [4] aabcba=c:

Critical pair: aabcbc=cabcba.

Flip LHS and RHS.

Defines rule #4.