Conservative reduction classes of Krom formulas

Journal of Symbolic Logic 47 (1):110-130 (1982)
A Krom formula of pure quantification theory is a formula in conjunctive normal form such that each conjunct is a disjunction of at most two atomic formulas or negations of atomic formulas. Every class of Krom formulas that is determined by the form of their quantifier prefixes and which is known to have an unsolvable decision problem for satisfiability is here shown to be a conservative reduction class. Therefore both the general satisfiability problem, and the problem of satisfiability in finite models, can be effectively reduced from arbitrary formulas to Krom formulas of these several prefix types
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DOI 10.2307/2273385
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References found in this work BETA
M. R. Krom (1967). The Decision Problem for a Class of First-Order Formulas in Which All Disjunctions Are Binary. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 13 (1-2):15-20.

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