In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
We give a semantic characterization of bounded complexity proofs. We introduce the notion of obsessional clique in the relational model of linear logic and show that restricting t...
In this paper the Recursive Path Ordering is adapted for proving termination of rewriting incrementally. The new ordering, called Recursive Path Ordering with Modules, has as ingre...
Cost-based abduction attempts to find the best explanation for a set of facts by finding a minimal cost proof for the facts. The costs are computed by summing the costs of the ass...
Higher-order logic proof systems combine functional programming with logic, providing functional programmers with a comfortable setting for the formalization of programs, specifica...