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How to prove that the set of theorems of any recursively axiomatized theory is a recursively enumerable set?

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#logic #first-order-logic #formal-languages #decidability #metalogic
72
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Predicate problem

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#discrete-mathematics #logic #first-order-logic
75
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Algorithm for determining equality of First-Order logic terms

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#algorithms #computer-science #first-order-logic #unification
436
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If $a$ and $b$ are elements of a group $G$ that satisfy the same first order formulas, is there always an automorphism of $G$ that maps $a$ to $b$?

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#group-theory #first-order-logic #model-theory
23
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How to best express a desired relationship between less-than and greater-than [binary relations] on a set of _abstract_ elements?

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#arithmetic #first-order-logic #relations
42
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Possession using first order logic

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#logic #first-order-logic
130
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If we had an algorithm for entscheidungsproblem, how do we exactly construct an algorithm for the halting problem?

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#logic #first-order-logic #computability #turing-machines
97
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Model vs Axiom vs Theory... difference

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#logic #first-order-logic #model-theory
22
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Approach/methodology for solving conditional (if, then) inequalities with absolute values

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#inequality #first-order-logic #absolute-value
44
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Enderton First Order "Forall" $\forall$ Axiom - Why is it needed?

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#first-order-logic
50
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graph bipartiteness is not expressible in first oder logic

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#logic #graph-theory #computer-science #first-order-logic #bipartite-graphs
79
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Contradiction in first order logic.

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#first-order-logic
50
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Prove the logical equivalence of two formulas which use $\bigwedge$

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#induction #first-order-logic
69
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How to use axiom of extensionality

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#elementary-set-theory #set-theory #first-order-logic
97
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A 3-CNF formula

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#logic #first-order-logic

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