Certificate for #5346 ⟨a, b | aaa=bb, abb=ab⟩

Completion settings:

• Reduction order:
  • Right-to-left recursive path with deg(b) = 0; deg(a) = 1

Axiom: aaa=bb.

Defines rule #4.

Referenced by [3], [4].

Axiom: abb=ab.

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

Overlap of [1] aaa=bb with [1] aaa=bb:

Critical pair: abb=bba.

Reduce LHS:

Defines rule #3.

Referenced by [5].

Overlap of [1] aaa=bb with [2] abb=ab:

Critical pair: aaab=bbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

Overlap of [2] abb=ab with [3] ab=bba:

Critical pair: bbab=ab.

Reduce LHS:

Reduce RHS:

Defines rule #2.