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What are the conditions necessary for a programming language to have no undefined behavior?

For context, yesterday I posted Does the first incompleteness theorem imply that any Turing complete programming language must have undefined behavior?. … And, on a side note, does the answer have anything to do with the incompleteness theorems? …
Mikayla Eckel Cifrese's user avatar
2 votes
3 answers
359 views

Does the first incompleteness theorem imply that any Turing complete programming language mu...

If I understand correctly, the first incompleteness theorem says that any "effectively axiomatized" formal system which is consistent must contain theorems which are independent of the axioms. … That is, is undefined behavior a necessary result of the incompleteness theorems applying to all Turing complete models of computation? …
Mikayla Eckel Cifrese's user avatar