The IP theorem, which asserts that IP = PSPACE (Lund et. al., and Shamir, in J. ACM 39(4)), is one of the major achievements of complexity theory. The known proofs of the theorem ...
In 1983, Valentini presented a syntactic proof of cut-elimination for a sequent calculus GLSV for the provability logic GL where we have added the subscript V for "Valentini&q...
We introduce a systematic procedure to transform large classes of (Hilbert) axioms into equivalent inference rules in sequent and hypersequent calculi. This allows for the automat...
We use Kleene algebra with tests to verify a wide assortment of common compiler optimizations, including dead code elimination, common subexpression elimination, copy propagation,...
We identify a class of monomial supports that are inherently improper because any surface rational parametrization defined on them is improper. A surface support is inherently imp...