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What would be an example of a tautology in first-order logic involving a definite sequence of quantifiers?

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Showing validity of a formula in first order logic

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Are these two sentences logically equivalent?

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Can a simple (atomic) proposition be a tautology?

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Show for closed terms $t$ and formulas $\phi$. Given a structure $M$: $M\vDash t = \overline{t}\,^M$

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Putting this formula in Prenex Normal Form

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precedence problem of multiple implication operators in logics

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"logical constant" vs "logical variable"

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533
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Unification and substitutions in first-order logic

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144
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Elementary existence proof in first order logic

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301
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Derive the box from a set of FOL clauses

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112
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How Can I Get This Quantification Deduction?

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275
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A question about the analogy between formal systems and Turing machines

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Equivalence of first-order formulas

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404
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Semantic Tableaux in First-Order logic

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