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Need Help with Propositional Logic

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#logic #propositional-calculus
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Can there be a vacuous tautological consequence $F\vDash F$?

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#logic #definition #propositional-calculus
237
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If $s_{1}\Longleftrightarrow s_{2}$ then $s_{1}\leftrightarrow s_{2}$ is a tautology?

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#logic #propositional-calculus
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$⊢p \land q \to (p\to q)$ - Natural deduction proof confusion

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104
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$p\land\neg q\to r, \neg r, p ⊢ q$ -natural deduction

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#logic #propositional-calculus #natural-deduction
90
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Translation into the propositional logic

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#propositional-calculus #logic-translation
38
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How do I notate a proposition with multiple conditions?

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#propositional-calculus
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Tautology - First Order Logic

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#logic #propositional-calculus #predicate-logic #first-order-logic
248
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Conjunctive Normal Form Conversion

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518
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Logic - Simplifying a propositional logic expression

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#logic #propositional-calculus
154
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Are the following contradictions?

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448
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How can I prove this using Fitch notation?

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Prove using a proof sequence and justify each step

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#logic #propositional-calculus
62
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Express $(A\to B)\land((C\land B)\to A)$ using biconditional

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134
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Is there a name for: (p => q) => ((p and r) => q)?

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#logic #terminology #propositional-calculus

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