Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing tha...
We give a sound and complete propositional S5 tableau system of a particularly simple sort, having an easy completeness proof. It sheds light on why the satisfiability problem for...
The quantified relevant logic RQ is given a new semantics in which a formula xA is true when there is some true proposition that implies all x-instantiations of A. Formulae are mo...