Certificate for #2590 ⟨a, b | ababab=aaab⟩

Back:⟨a, b | ababab=aaab⟩

Completion settings:

[1] ababab=aaab

Axiom: ababab=aaab.

Referenced by [3].

[2] aaab=c

Axiom: aaab=c.

Defines rule #3.

Referenced by [3], [5].

[3] ababab=c

Simplify [1] ababab=aaab.

Reduce RHS:

[2](aaab)
⇒ c

Defines rule #4.

Referenced by [4], [5].

[4] abc=cab

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

ab abab ababab

Critical pair: abc=cab.

Defines rule #1.

[5] aac=cabab

Overlap of [2] aaab=c with [3] ababab=c:

aa ab ababab

Critical pair: aac=cabab.

Defines rule #2.