[User23]

It’s worth noting that algorithms can be designed correct under nondeterministic execution. For example, quicksort is correct with a randomly selected pivot. And for associative and commutative functions it doesn’t matter what order they’re executed in the final result is always the same.

Dijkstra’s guarded commands don’t specify an order for the conditional. The semantics is that the process is free to execute any one of the cases that has a true guard. Nevertheless he found them useful for developing and describing many algorithms.

[tonyarkles]

> And for associative and commutative functions it doesn’t matter what order they’re executed in the final result is always the same.

Not directed at you specifically, but just a reminder for anyone who hasn’t been burned by it yet: floating point addition is not associative. (a+b)+c != a+(b+c). It’s close, but if you’re not careful you can get bad results where the accumulated small errors turn into wrong answers.

[tialaramex]

Not just floating point maths either. The built-in "integers" in your computer don't behave like the integers taught in school either but that's how we tend to think about them. This is why I argue trapping is the most acceptable choice for arithmetic problems in general purpose languages, if the program tries to add 150 to 150 in an unsigned 8-bit integer, that's a programming error. By all means offer wrapping arithmetic, sometimes it's what the programmer actually wanted and they benefit from being able to clarify that - but most often they didn't want that and would be astonished that 150 + 150 = 44.

[kaba0]

It can overflow, but integer math is associative and commutative still, isn’t? It’s just modulo the biggest representable number (if unsigned).

[ajross]

> It’s worth noting that algorithms can be designed correct under nondeterministic execution.

In fact the whole concept of "symmetric multiprocessing" demands it.