#### clytaemnestra

##### New member

- Joined
- Mar 7, 2021

- Messages
- 7

1. calculate the following statement by using the Godel's t norm:

(ϕ ∧ ψ) ⇒ (ϕ ⇒ ψ)

Godel's t norm: tG (a, b) = min(a, b)

2. calculate the following statement by using the product t norm:

¬(ϕ ∨ ψ) ⇒ (¬ϕ ∧ ¬ψ)

product's t norm: tΠ(a, b) = a · b

3. calculate the following statement by using the Lukasziewisz's norm:

(ϕ ⇒ ψ) ⇒ (¬ϕ ∨ ψ),

Lukasziewisz's norm: tL(a, b) = max(0, a + b − 1)

Now, I checked the coursebook, Wiki and googled out some videos and materials - all of them describe it in some way, but none of them has specific instructions on how to plug it into a statement and solve it with it (for a dummy like me). Now, I don't want to come off az lazy - I'm of course willing to try to solve it on my own, before asking for help, but I couldn't find any materials on it. Thus I'd like to ask, if anyone has materials or any clue how to solve it? I'm not sure even how to start.

Thank you in advance