Certificate for #5866 ⟨a, b | ababab=aabab⟩

Back:⟨a, b | ababab=aabab⟩

Completion settings:

[1] ababab=aabab

Axiom: ababab=aabab.

Referenced by [3].

[2] aabab=c

Axiom: aabab=c.

Defines rule #3.

Referenced by [3], [5].

[3] ababab=c

Simplify [1] ababab=aabab.

Reduce RHS:

[2](aabab)
⇒ 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 #2.

[5] ac=cab

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

a abab ababab

Critical pair: ac=cab.

Defines rule #1.