Certificate for #4458 ⟨a, b | aaaabbaa=abb⟩

Completion settings:

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

Axiom: aaaabbaa=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #5.

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

Simplify [1] aaaabbaa=abb.

Reduce RHS:

Referenced by [4].

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

Critical pair: aaacaa=c.

Defines rule #3.

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

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

Critical pair: aaacac=cbb.

Flip LHS and RHS.

Referenced by [8].

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

Critical pair: aaacc=cacaa.

Defines rule #1.

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

Critical pair: aaacac=caacaa.

Defines rule #2.

Referenced by [8].

Simplify [5] cbb=aaacac.

Reduce RHS:

Defines rule #4.