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Boolean formulas over omega automata

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#logic #automata #first-order-logic
83
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Finite set of formulas from $L(A)$ is realized iff it is consistent with $Th(\mathfrak{A})$

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#logic #model-theory #first-order-logic
139
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Can we treat logic mathematically without using logic?

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#logic #first-order-logic
458
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Question on existential quantifier.

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#examples-counterexamples #first-order-logic #quantifiers
75
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complex numbers from real closed fields

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#complex-numbers #first-order-logic
1.2k
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Counting quantification and the cardinality of a set

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#logic #cardinals #predicate-logic #first-order-logic #quantifiers
748
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Winning strategy for graphs (Ehrenfeucht-Fraïssé games)

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#logic #model-theory #first-order-logic
47
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Show that there is such an algorithm

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#algorithms #computability #formal-languages #first-order-logic
136
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Can we express a $\forall x\in S \exists y\in T ~P(x,y)$ statement solely through $\land, \lor, \Rightarrow$?

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#logic #first-order-logic #quantifiers
218
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Sentence $\phi_n$ is true in $S$ iff $S$ has at most $n$ elements

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#logic #model-theory #first-order-logic
442
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The $<$-relation on $\mathbb{Z}$ is not definable in $(\mathbb{Z}, 0, +)$

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#logic #model-theory #first-order-logic
296
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First order logic expression of "Each finite state automaton has an equivalent push-down automaton"?

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#discrete-mathematics #logic #first-order-logic
629
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Understanding natural deduction and derivable rules

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#logic #propositional-calculus #first-order-logic #natural-deduction
179
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Writing sequences in the language of arithmetic

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#formal-languages #first-order-logic
385
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Testing validity of Predicate Logic conditional statement without a Truth Tree.

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#logic #propositional-calculus #predicate-logic #first-order-logic

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