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    Monadic predicate logic (first-order logic restricted to ... — Carmelics
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    Supports→First-order logic is undecidable, but decidable fragments of first-order logic exist that can be efficiently handled by theorem provers.

    Monadic predicate logic (first-order logic restricted to unary predicates) is decidable.

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    Decidable fragments of undecidable logics exist and can be implemented in theore...First-order logic (including many-sorted versions) is undecidable.First-order logic is undecidable, but decidable fragments of first-order logic e...Propositional logic is decidable.

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    A logic is decidable when there is an algorithm that answer YES or NO in a finite time to the question: is the formula \(\varphi\) valid? As validity and satisfiability are interdefinible (\(\models \varphi\) iff \(\lnot \varphi\) is not satisfiable) this problem is often called the satisfiability problem. Among the basic tasks a computer is asked for are satisfiability and model checking. Propositional logic is decidable but first-order logic, many-sorted version included, is undecidable. Howe

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