Of course they can. A trivial practical example is the JVM JIT using vector instructions to add parallelism to a program that didn't have any before. But a JIT compiler could also profile code and add thread-level parallelism if it wanted.
FM is NP-hard. Omega test is imprecise.
And in general you need more complicated checks like aliasing checks. Which are equal to stopping problem, most of the time.
Usually you can't spend that amount of time on EACH INVOCATION of a program.
https://en.wikipedia.org/wiki/Speculative_multithreading
You can use hardware functionality such as TSX to support this.
It is unbelievable you even suggested it.
TSX won't save you.
Why do you think that? What do you think the optimistic software transactional memory algorithms are doing if not speculating on parallel access to shared memory?
Because Microsoft tried to add STM to the .Net and get 4x slower code after extensive effort: http://www.mail-archive.com/[email protected]/msg7973...
Should I continue from these two arguments?
You may see it as a proof of your point, but I see it as a counterexample - a team of smart people was not able make speculative parallelism efficient even with static analysis. JIT will be even less efficient as it has to keep and account for tracing information and for speculation logs. These two interact in interesting way, I guess.
Whole program compiler can insert JIT-calling code (specializing for common pattern), JIT compiler cannot view whole program.
One of the things JITs can't do is to add and/or remove parallelism from the program (i.e., add/remove OpenMP pragmas).