Abstract. We present a method of specifying standard imperative program optimisations as a rewrite system. To achieve this we have extended the idea of matching sub-terms in expres...
Proof theoretic characterizations of complexity classes are of considerable interest because they link levels of conceptual abstraction to computational complexity. We consider he...
We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
We consider an extension of the guarded fragment in which one can guard quantiers using the transitive closure of some binary relations. The obtained logic captures the guarded fr...
The modal mu-calculus is an expressive logic that can be used to specify safety and liveness properties of concurrent systems represented as labeled transition systems (LTSs). We ...