There may be different definitions, but also a lot of incorrect information. Nothing changes with C23 except that we added a note that clarifies that UB can not time-travel. The semantic model in C only requires that observable effects are preserved. Everything else can be changed by the optimizer as long as it does not change those observable effects (known as the "as if" principle). This is generally the basis of most optimizations. Thus, I call time-travel only when it would affect previous observable effects, and this what is allowed for UB in C++ but not in C. Earlier non-observable effects can be changed in any case and is nothing speicifc to UB. So if you call time-travel also certain optimization that do not affect earlier observable behavior, then this was and is still allowed. But the often repeated statement that a compiler can assume that "A is never true" does not follow (or only in very limited sense) from the definition of UB in ISO C (and never did), so one has to be more careful here. In particular it is not possible to remove I/O before UB. The following code has to print 0 when called with zero and a compiler which would remove the I/O would not be conforming.

int foo(int x)

{

  printf("%d\n", x);

  fflush(stdout);

  return 1 / x;

}

In the following example

int foo(int x)

{

  if (x) bar(x);

  return 1 / x;

}

the compiler could indeed remove the "if" but not because it were allowed to assume that x can never be zero, but because 1 / 0 can have arbitrary behavior, so could also call "bar()" and then it is called for zero and non-zero x and the if condition could be removed (not that compilers would do this)

E.g. this godbolt: https://godbolt.org/z/eMYWzv8P8

There is unconditional use of a pointer b, which is UB if b is null. However, there is an earlier branch that checks if b is null. If we expected the UB to "backpropagate", the compiler would eliminate that branch, but both gcc and clang at O3 keep the branch.

However, both gcc and clang have rearranged the side effects of that branch to become visible at the end of the function. I.e. if b is null, it's as if that initial branch never ran. You could observe the difference if you trapped SIGSEGV. So even though the compiler didn't attempt to "time-travel" the UB, in combination with other allowed optimizations (reordering memory accesses), it ended up with the same effect.