Domenico Cacozza

@xdomeca
2 Followers
5 Following
8 Posts

🤖 Do LLMs reflect our moral expressions—or alter them?

In our #ACL2025 paper, we study 12 widely used LLMs and found that moral expressions are altered to varying degrees depending on the editing task and moral conditioning prompt.

📍 ACL2025 — Hall X5 (28)
🕚 Today, 11:00–12:30

💡 But that doesn’t stop us.

Engineers work around these limits with heuristics, ML, and smart context-based strategies.
We can’t solve everything —
but we can build intelligently around the limits.

#AI #computerscience

6/🧵

👉 Bottom line:
Some problems are decidable.
Others are fundamentally undecidable.
This is a mathematical boundary, not a technological one.

#Computability #algorithms

5/🧵

📚 Turing also answered Hilbert’s Entscheidungsproblem:
Is there a general algorithm to decide the truth of any math statement?

Answer: No.
No such universal decision method exists.

#Math #undecidable

4/🧵

🛠️ And this isn’t just theory.

When synthesizing automatic controllers for hybrid systems (with both discrete and continuous behaviors),
some cases are mathematically impossible to solve algorithmically.
Formally proven.

#ComputerScience #algorithms

3/🧵

📌 In other words:
There’s no algorithm that can always decide if a program halts or runs forever.

That’s the halting problem:
A concrete example of an undecidable problem in computation.

#HaltingProblem #undecidable

2/🧵

🧵 Alan Turing showed that not everything logically definable is also computable.

Using a diagonalization method like Cantor’s, we can build a set D:
the set of Turing machine codes that don’t belong to their own halting set.

🔁 Here’s the twist:
No Turing machine can generate D without causing a contradiction.

#Turing #computability

1/🧵

I'm delighted to have given a talk titled "Decoding the Era of Decentralized Social Media: Lessons from Mastodon" 🐘📚 for the Oxford Platform Economy seminar at the @oiioxford 👨🏻‍💻

Thanks to Prof. Vili Lehdonvirta and @phipz for inviting me!

@computationalsocialscience @networkscience @complexsystems