A Proof Theory for Tractable Approximations of Propositional Reasoning
This paper proposes an uniform framework for the proof theory of tractable approximations of propositional reasoning. The key idea is the introduction of approximate proofs. This makes possible the development of an approximating sequent calculus for propositional deduction where proofs can be sound, complete or multi-directional approximations of classical logic. We show how this calculus subsumes existing approaches to approximation such as the BCP - k family of anytime reasoners by Dalal and S - 1, S - 3 entailments by Cadoli and Schaerf.