Certificate for #3388 ⟨a, b, c | ac=ab, baa=c⟩

Back:⟨a, b, c | ac=ab, baa=c⟩

Completion settings:

[1] ab=ac

Axiom: ac=ab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3], [4].

[2] baa=c

Axiom: baa=c.

Defines rule #3.

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

[3] acaa=ac

Overlap of [1] ab=ac with [2] baa=c:

a b baa

Critical pair: ac=acaa.

Flip LHS and RHS.

Defines rule #4.

[4] cb=cc

Overlap of [2] baa=c with [1] ab=ac:

ba a ab

Critical pair: baac=cb.

Reduce LHS:

[2](baa)c
⇒ cc

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

[5] ccaa=cc

Overlap of [4] cb=cc with [2] baa=c:

c b baa

Critical pair: cc=ccaa.

Flip LHS and RHS.

Defines rule #5.