For example, given the valid formula $\forall x(Rxx \rightarrow \exists y Rxy)$, it gives the following tableau proof:

1. $\neg \forall x(Rxx \rightarrow \exists y Rxy)$

2. $\neg (Raa \rightarrow \exists yRay)$

3. $Raa$

4. $\neg \exists yRay$

5. $\neg Raa$

Shouldn't the last line (5) read "$\neg Raa$"?

ReplyDeleteOops - yeah!

ReplyDeleteI'm trying to implement an automated tree proof generator for formulae of propositional logic. Do you know any sources where one could find tips on how to implement a proof generator like the one you've linked to?

ReplyDeleteNERD!!

ReplyDeleteCan you help me figure this problem out?

ReplyDelete:((P --> Q) V (Q --> R))

1. $\neg (P \rightarrow Q) \vee (Q \rightarrow R))$.

ReplyDelete2. $\neg(P \rightarrow Q)$. (from (1), by $\neg \vee$-rule)

3. $\neg(Q \rightarrow R)$. (from (1), by $\neg \vee$-rule)

4. $P$. (from (2), by $\neg \rightarrow$-rule)

5. $\neg Q$. (from (2), by $\neg \rightarrow$-rule)

6. $Q$. (from (3), by $\neg \rightarrow$-rule)

7. $\neg R$. (from (3), by $\neg \rightarrow$-rule)

X

The tableau is closed, as (5) contradicts (6).

Nice post .Keep sharing

ReplyDeleteArtificial Intelligence Online Traininghi, your post is very helpful for me. Finally, I found exactly what i want. If you need information regarding antivirus then you can visit our site Lenovo ondersteuning belgie

ReplyDeleteHi i read your blog and appriciate your writing skills and your knowledge. Keep sharing always.Must visit on

ReplyDeletenorton ondersteuning

Hi i read your blog and appriciate your writing skills and your knowledge. Keep sharing always.Must visit on

ReplyDeletenorton ondersteuning

Hi I read your blog its really gud. Keep sharing always.And please visit on

ReplyDeleteavast bellen

Hi.. I read your blog which is really good and I appriciate your writing skills. Must visit on bellen hp printer

ReplyDeleteHello.. I read your blog which is amazing and i finding that kind of blog now i found. If you are facing technical issues visit at

ReplyDeletebellen cannon printer

Hello I read your blog which is really good. If you are facing technical issues of avast antivirus visit at avast bellen

ReplyDeleteCan someone help with these?

ReplyDelete{P∨Q,Q→R}⊢¬R→P

{P→Q,Q→R,R→S}⊢P→S

Great post ! This was actually what i was looking for and i am glad to came here!

ReplyDeletePega Training

Denodo Training

Sitecore Training

Mulesoft Training