Certificate for #2673 ⟨a, b | abaab=aabaa⟩

Back:⟨a, b | abaab=aabaa⟩

Completion settings:

[1] abaab=aabaa

Axiom: abaab=aabaa.

Referenced by [3].

[2] aabaa=c

Axiom: aabaa=c.

Defines rule #3.

Referenced by [3], [4], [5], [6].

[3] abaab=c

Simplify [1] abaab=aabaa.

Reduce RHS:

[2](aabaa)
⇒ c

Defines rule #4.

Referenced by [5], [6].

[4] cabaa=aabac

Overlap of [2] aabaa=c with [2] aabaa=c:

aaba a aabaa

Critical pair: aabac=cabaa.

Flip LHS and RHS.

Defines rule #5.

[5] caa=abc

Overlap of [3] abaab=c with [2] aabaa=c:

ab aab aabaa

Critical pair: abc=caa.

Flip LHS and RHS.

Defines rule #2.

[6] cb=ac

Overlap of [2] aabaa=c with [3] abaab=c:

a abaa abaab

Critical pair: ac=cb.

Flip LHS and RHS.

Defines rule #1.