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Models of $\big(P(c)\wedge\forall x(P(x)\rightarrow P(f(x))\big)\rightarrow\forall xP(x)$

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#logic #first-order-logic #predicate-logic
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First Order Logic - exactly one predicate is true

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#first-order-logic #conjunctive-normal-form
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What are the relations and differences between Implication, inference rule and equivalence in logic?

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#logic #computer-science #first-order-logic
148
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Why is factoring causing wrong answer in resolution logic?

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#logic #first-order-logic #unification
142
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First Order Logic - Writing a formula for even sized domain

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#first-order-logic
88
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Constructing a theory without operations from a first-order theory.

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#logic #first-order-logic #predicate-logic
147
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Hilbert calculi for First-Order Logic

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#logic #first-order-logic #proof-theory #hilbert-calculus
59
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First Order Logic - Writing a formula for values on the main diagonal of a 2d matrix

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#first-order-logic
40
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First Order Logic - Exact Cover problem

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#logic #first-order-logic
781
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First order logic FOL translation help!

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#logic #first-order-logic #predicate-logic #quantifiers #logic-translation
77
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Translate given sentence to predicate logic

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#logic #propositional-calculus #first-order-logic #predicate-logic
155
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why are $\forall x(P(x)\rightarrow \exists y(Q(y)∧R(x,y)))\text{ and }\exists y(Q(y)∧\forall x(P(x)\rightarrow (R(x,y)))$ not logically equivalent?

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#logic #examples-counterexamples #first-order-logic #predicate-logic #quantifiers
307
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How to prove that axiom-1 and modus ponens in hilbert system is not complete?

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#logic #propositional-calculus #first-order-logic
54
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Derivation of 'at most' equivalence in natural deduction

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#logic #first-order-logic #natural-deduction
740
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Fields with characteristic 0 are not finitely axiomatizable in FOPC

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#finite-fields #first-order-logic #predicate-logic #model-theory #axioms

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