Applications of logic in computer science
We present a simple yet powerful calculus, the reduction calculus, for propositional logic. The calculus is proved to be sound and complete. The calculus can be used in a helper algorithm for tautology and satisfiability test. We compare the reduction calculus to the well-known resolution calculus. We argue that resolution is in some sense as powerful as our simpler reduction calculus. Keywords: Mathematical logic, complexity theory, tautology, satisfiability, NP-complete problem.
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