Certificate for #3881 ⟨a, b | aaaaabbaa=ab⟩

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: aaaaabbaa=ab.

Referenced by [3].

Axiom: abb=c.

Referenced by [3], [4].

Overlap of [1] aaaaabbaa=ab with [2] abb=c:

Critical pair: aaaacaa=ab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [4], [5].

Overlap of [2] abb=c with [3] ab=aaaacaa:

Critical pair: aaaacaab=c.

Reduce LHS:

Defines rule #3.

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

Overlap of [4] aaaacaaaaacaa=c with [3] ab=aaaacaa:

Critical pair: aaaacaaaaacaaaaacaa=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: aaaacac=caaacaa.

Defines rule #1.

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

Critical pair: aaaacaaaaacc=caacaaaaacaa.

Defines rule #2.