Question

Prove: |= ∀xϕ→ψ ↔ ∃x(ϕ→ψ), with x not belonging to FV (ψ)

score 153 · Answer 1 · 2026-03-30 02:07:54

153

Views

Prove: |= ∀xϕ→ψ ↔ ∃x(ϕ→ψ), with x not belonging to FV (ψ)

Published on 30 Mar 2026 - 2:07

score 60 · Answer 2 · 2023-09-24 13:31:57

60

Views

Understanding logic formulae involving $P(n)$

Published on 24 Sep 2023 - 13:31

score 24 · Answer 3 · 2023-09-25 12:23:12

24

Views

How does the epsilon calculus allow for more condensed representations of proofs?

Published on 25 Sep 2023 - 12:23

score 49 · Answer 4 · 2023-09-27 09:50:14

49

Views

Is it correct to use variables that are not not quantified in my statement?

Published on 27 Sep 2023 - 9:50

score 27 · Answer 5 · 2026-04-01 11:59:31

27

Views

Symbolizing Definition of Cauchy Sequence with Predicate Logic

Published on 01 Apr 2026 - 11:59

score 184 · Answer 6 · 2026-03-30 02:11:29

184

Views

"Some students in this class grew up in the same town as at least two other students in this class.”

Published on 30 Mar 2026 - 2:11

score 96 · Answer 7 · 2026-04-03 04:18:31

96

Views

Book request: I need a book on logic that tackles truth trees in a rigorous way.

Published on 03 Apr 2026 - 4:18

score 58 · Answer 8 · 2026-03-30 02:05:35

58

Views

Can there be a Quantifier that isn't stated inside a predicate?

Published on 30 Mar 2026 - 2:05

score 198 · Answer 9 · 2023-10-05 17:09:54

198

Views

Can an implication and its converse both be false?

Published on 05 Oct 2023 - 17:09

score 83 · Answer 10 · 2026-03-30 02:07:52

83

Views

Proving/disproving $\exists n {\in} \mathbb Z \;\forall k {\in} \mathbb Z \;\exists d {\in} \mathbb Z \;\;k+ n = 2d$

Published on 30 Mar 2026 - 2:07

score 33 · Answer 11 · 2026-02-24 00:05:57

33

Views

Compound statement for a simple graph

Published on 24 Feb 2026 - 0:05

score 50 · Answer 12 · 2023-10-21 11:27:12

50

Views

Determining the Functional Completeness of the Set {⇔, ∧, 0}

Published on 21 Oct 2023 - 11:27

score 80 · Answer 13 · 2023-10-22 02:09:52

80

Views

How to use predicate logic to write "Product of an even number and another number is even"?

Published on 22 Oct 2023 - 2:09

score 96 · Answer 14 · 2023-10-22 16:27:54

96

Views

Is this natural deduction proof of $\exists x Fx \to G \vdash \forall x [Fx \to G]$ in predicate logic correct?

Published on 22 Oct 2023 - 16:27

score 44 · Answer 15 · 2023-10-23 00:45:22

44

Views

Provide an interpretation where a formula $\forall x \exists y G(x,y) \wedge \neg \exists z G(z,z)$ of predicate logic holds true

Published on 23 Oct 2023 - 0:45

List Question

Prove: |= ∀xϕ→ψ ↔ ∃x(ϕ→ψ), with x not belonging to FV (ψ)

Understanding logic formulae involving $P(n)$

How does the epsilon calculus allow for more condensed representations of proofs?

Is it correct to use variables that are not not quantified in my statement?

Symbolizing Definition of Cauchy Sequence with Predicate Logic

"Some students in this class grew up in the same town as at least two other students in this class.”

Book request: I need a book on logic that tackles truth trees in a rigorous way.

Can there be a Quantifier that isn't stated inside a predicate?

Can an implication and its converse both be false?

Proving/disproving $\exists n {\in} \mathbb Z \;\forall k {\in} \mathbb Z \;\exists d {\in} \mathbb Z \;\;k+ n = 2d$

Compound statement for a simple graph

Determining the Functional Completeness of the Set {⇔, ∧, 0}

How to use predicate logic to write "Product of an even number and another number is even"?

Is this natural deduction proof of $\exists x Fx \to G \vdash \forall x [Fx \to G]$ in predicate logic correct?

Provide an interpretation where a formula $\forall x \exists y G(x,y) \wedge \neg \exists z G(z,z)$ of predicate logic holds true

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