Certificate for #5649 ⟨a, b | aabaab=aabaa⟩

Back:⟨a, b | aabaab=aabaa⟩

Completion settings:

[1] aabaab=aabaa

Axiom: aabaab=aabaa.

Referenced by [3].

[2] aabaa=c

Axiom: aabaa=c.

Defines rule #4.

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

[3] aabaab=c

Simplify [1] aabaab=aabaa.

Reduce RHS:

[2](aabaa)
⇒ c

Referenced by [4].

[4] cb=c

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

aabaab aabaa

Critical pair: cb=c.

Defines rule #1.

Referenced by [5].

[5] caa=aabc

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

aab aa aabaa

Critical pair: aabc=cbaa.

Reduce RHS:

[4](cb)aa
⇒ caa

Flip LHS and RHS.

Defines rule #2.

[6] cabaa=aabac

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

aaba a aabaa

Critical pair: aabac=cabaa.

Flip LHS and RHS.

Defines rule #3.