Certificate for #1579 ⟨a, b | aaa=aa, aba=b

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #3.

Referenced by [3].

[2] aba=b

Axiom: aba=b.

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

[3] aab=ab

Overlap of [1] aaa=aa with [2] aba=b:

aa a aba

Critical pair: aab=aaba.

Reduce RHS:

[2]a(aba)
ab

Referenced by [4].

[4] ab=b

Overlap of [3] aab=ab with [2] aba=b:

a ab aba

Critical pair: ab=aba.

Reduce RHS:

[2](aba)
b

Defines rule #1.

Referenced by [5].

[5] ba=b

Overlap of [2] aba=b with [4] ab=b:

aba ab

Critical pair: ba=b.

Defines rule #2.