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Abstract:
The clause-linking technique of Lee and Plaisted proves the unsatisfiability of
a set of first-order clauses by generating a sufficiently large set of
instances of these clauses that can be shown to be propositionally
unsatisfiable. In recent years, this approach has been refined in several
directions, leading to both tableau-based methods, such as the disconnection
tableau calculus, and saturation-based methods, such as primal partial
instantiation and resolution-based instance generation. We investigate the
relationship between these calculi and answer the question to what extent
refutation or consistency proofs in one calculus can be simulated in another
one.
