Certificate for #5602 ⟨a, b | aaabba=aabab⟩

Back:⟨a, b | aaabba=aabab⟩

Completion settings:

[1] aaabba=aabab

Axiom: aaabba=aabab.

Referenced by [3].

[2] aabab=c

Axiom: aabab=c.

Defines rule #1.

Referenced by [3], [5].

[3] aaabba=c

Simplify [1] aaabba=aabab.

Reduce RHS:

[2](aabab)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] caabba=aaabbc

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

aaabb a aaabba

Critical pair: aaabbc=caabba.

Flip LHS and RHS.

Defines rule #4.

[5] cabab=aaabbc

Overlap of [3] aaabba=c with [2] aabab=c:

aaabb a aabab

Critical pair: aaabbc=cabab.

Flip LHS and RHS.

Defines rule #3.