Complexity of Proving Program Correctness

The spectrum of a formula is the set of finite data structures in which it is valid. It is known that for some program logics the classes of spectra form complete subclasses of well known complexity classes. This means that for those logics we know how hard it is to decide the set of finite models. We extend those results by determining complexity classes corresponding to partial correctness assertions about programs from sublanguages of Clarke's language L4.

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