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Transform a formula via prenex normal form to to Skolem normal form

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#proof-verification #logic #first-order-logic #predicate-logic
144
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How to explicitly describe modifying variable assignments in FOL

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174
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How to determine a FOL structure which satisfies a given formula

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#proof-verification #logic #first-order-logic #model-theory #satisfiability
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Determine which of the following formulas are wffs, and justify which ones are not. [Verification]

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#proof-verification #logic #first-order-logic #quantifiers
140
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Prove or disprove: if $⊢_{FOL}\exists x\forall y\ \psi$ then $⊢_{FOL}\psi\{t/x\}$

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#logic #first-order-logic
296
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Union of a strictly increasing sequence of closed theories in a finite language has an infinite model

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#logic #first-order-logic #model-theory
31
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What is the difference in meaning between these two antecedents ...?

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#propositional-calculus #first-order-logic #predicate-logic #formal-proofs #logic-translation
306
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Proof of the deduction theorem in sequent calculus

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#logic #first-order-logic #predicate-logic #sequent-calculus
52
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Are these predicate formulas equivalent?

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#logic #first-order-logic #predicate-logic
45
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Is it necessary to explicitly state that $\lnot (q \notin X)$ is equivalent to $q \in X$ when writing a proof?

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#elementary-set-theory #proof-writing #propositional-calculus #first-order-logic
33
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Can truth of a single predicate be defined by another language that only shares that predicate?

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#logic #first-order-logic #predicate-logic
120
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Spivak's Calculus Exercise 2-9

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#proof-verification #logic #induction #first-order-logic
224
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Which of the following logic statements are true

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#logic #first-order-logic #predicate-logic
59
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checking validity of given first order logic

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#discrete-mathematics #logic #first-order-logic #predicate-logic
515
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Prove the theory of equality with a finite number of unary predicates is decidable

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#logic #first-order-logic #decidability

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