Unless we resolve the P vs NP question, we are unable to say whether there is an algorithm (acceptor) that accepts Boolean tautologies in polynomial time and does not accept non-ta...
We give new proofs of soundness (all representable functions on base types lies in certain complexity classes) for Light Affine Logic, Elementary Affine Logic, LFPL and Soft Af...
In recent work Baader has shown that a certain description logic with conjunction, existential quantification and with circular definitions has a polynomial time subsumption pro...
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 ...
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...