Certificate for #4600 ⟨a, b | aabaaaba=abb⟩

Completion settings:

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

Axiom: aabaaaba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

Referenced by [3], [6].

Simplify [1] aabaaaba=abb.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5], [6].

Overlap of [3] aabaaaba=c with [3] aabaaaba=c:

Critical pair: aabac=caaba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] aabaaaba=c with [3] aabaaaba=c:

Critical pair: aabaaabc=cabaaaba.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: aabaaabc=cbb.

Flip LHS and RHS.

Defines rule #4.