Latest posts tagged with #undecidable on Bluesky
Cubic Diophantine Equations Proven Undecidable, Extending Hilbert's Tenth
Researchers proved cubic Diophantine equations can encode the halting problem, undecidable (Oct 2025) using Zeckendorf representation of Fibonacci numbers. Read more: getnews.me/cubic-diophantine-equati... #cubicdiophantine #undecidable
📚 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/🧵
📌 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/🧵
📚 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/🧵
📌 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/🧵
