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semantic tableaux - can't show sequent is valid

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#first-order-logic
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There are exactly N objects in the universe in first-order logic

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#first-order-logic
98
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Name of this rule: $a \vdash b$ and $b \vdash c$ then $a \vdash c$?

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#first-order-logic #natural-deduction
196
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Why does a definition of multiplication in Presburger Arithmetic result in an undecidable theory?

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#logic #first-order-logic #presburger-arithmetic
140
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Extending monadic predicate calculus

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#logic #first-order-logic
100
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Characterisation of a complete first-order theory

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#logic #first-order-logic
260
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Finite model or no models?

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#first-order-logic
69
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If $\nvDash\phi$ must it be $\vDash\lnot\phi$? If $\nvDash\phi$ where $\phi$ first order sentence must it be $\vDash\lnot\phi$?

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#logic #predicate-logic #first-order-logic
207
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Axiomatizability in monadic second-order logic

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#model-theory #first-order-logic #axioms #higher-order-logic
192
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A problem in the first-order predicate calculus.

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#logic #predicate-logic #first-order-logic
237
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Mathematical Logic descending chains

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#logic #first-order-logic
298
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Why if for all x, p(x) and for all x not p(x) is not a contradiction?

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#predicate-logic #first-order-logic
703
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Properties of the deductive closure

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#logic #proof-writing #first-order-logic
555
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Question about understanding an Interpretation definition in First Order Logic

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#logic #predicate-logic #first-order-logic
977
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On proving the zero-one-law for first order logic

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#logic #model-theory #first-order-logic

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