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Logical truth and logical consequence

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#first-order-logic
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Confussion about substitution use and free variables requirement for rules of inference in natural deduction

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#logic #first-order-logic #substitution #natural-deduction
69
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Is this translation correct?

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#logic #first-order-logic
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$A,B$ satisfies on the same finite structures implies $A,B$ are logically equivalent?

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#logic #predicate-logic #first-order-logic
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Difference of these two First Order Logic statements

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#logic #first-order-logic
271
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Is there a finite set of sentences, $\Gamma$ which is satisfiable?

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#logic #predicate-logic #first-order-logic
169
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Coloring (W-L Method)

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#combinatorics #graph-theory #first-order-logic #coloring
116
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what mathematical theorem is this

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#logic #first-order-logic
246
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Logical consequence problem

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#logic #first-order-logic
89
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Why is this counter-example valid?

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#logic #first-order-logic #proof-explanation
34
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What are some methods of proving undefinability results? (Reference)

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#logic #reference-request #first-order-logic
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Proving consequence by resolution refutation

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#first-order-logic
264
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Unification of $P(x,x)$ and $P(a,b)$

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#first-order-logic #unification
201
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Optimize nonlinear model over time period (w/ Kuhn-Tucker Conditions)

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#first-order-logic #nonlinear-optimization #karush-kuhn-tucker
179
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Does the following set of formulas have a finite model?

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#model-theory #first-order-logic

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