Question

Using natural deduction to prove that $\forall x \lnot (P(x) \lor R(x)) \implies \exists x(\lnot P(x) \lor \lnot R(x))$

score 52 · Answer 1 · 2019-05-16 19:11:24

52

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Using natural deduction to prove that $\forall x \lnot (P(x) \lor R(x)) \implies \exists x(\lnot P(x) \lor \lnot R(x))$

Published on 16 May 2019 - 19:11

score 794 · Answer 2 · 2019-05-17 18:55:32

794

Views

When are we allowed to use the $\exists$ elimination rule in first-order natural deduction?

Published on 17 May 2019 - 18:55

score 61 · Answer 3 · 2019-05-19 18:23:09

61

Views

How to derive ~ ( P&Q) from ~ P using natural deduction?

Published on 19 May 2019 - 18:23

score 61 · Answer 4 · 2019-05-20 09:02:14

61

Views

Usage of (x, 1) (1) in natural deduction

Published on 20 May 2019 - 9:02

score 237 · Answer 5 · 2019-05-20 10:28:30

237

Views

Natural deduction proof: $C, (C \land D)↔F \vdash (D \land E) \to F$

Published on 20 May 2019 - 10:28

score 1.1k · Answer 6 · 2019-05-28 11:32:52

1.1k

Views

How do I formally prove a universal implication?

Published on 28 May 2019 - 11:32

score 464 · Answer 7 · 2026-02-23 06:38:41

464

Views

Why is the left-intro rule in Sequent Calculus equivalent to elimination rule in Natural Deduction?

Published on 23 Feb 2026 - 6:38

score 1.3k · Answer 8 · 2019-06-01 00:44:20

1.3k

Views

Understanding ex falso quodlibet together with proof by contradiction in a Gentzen style ND Proof

Published on 01 Jun 2019 - 0:44

score 97 · Answer 9 · 2019-06-02 20:45:31

97

Views

Is this proof correct? Can you help me with this propositional logic exercise?

Published on 02 Jun 2019 - 20:45

score 43 · Answer 10 · 2019-06-04 16:00:55

43

Views

Are any of these sequents provable using ND rules?

Published on 04 Jun 2019 - 16:00

score 1.5k · Answer 11 · 2019-06-05 04:55:43

1.5k

Views

Natural Deduction Proof for Modus Tollens

Published on 05 Jun 2019 - 4:55

score 497 · Answer 12 · 2019-06-06 10:48:38

497

Views

Tautology with Natural Deduction

Published on 06 Jun 2019 - 10:48

score 380 · Answer 13 · 2019-06-07 05:06:01

380

Views

Natural Deduction: Universal Introduction rule concerning free variables in Van Dalen's "Logic and Structure"

Published on 07 Jun 2019 - 5:06

score 176 · Answer 14 · 2019-06-09 16:04:08

176

Views

Show that $ \forall{x}\exists{y}{(P(x) \to Q(y))} \vdash \exists{y}\forall{x}{(P(x) \to Q(y))} $

Published on 09 Jun 2019 - 16:04

score 92 · Answer 15 · 2019-07-01 21:57:12

92

Views

Did I solve this correctly? (Natural deduction)

Published on 01 Jul 2019 - 21:57

List Question

Using natural deduction to prove that $\forall x \lnot (P(x) \lor R(x)) \implies \exists x(\lnot P(x) \lor \lnot R(x))$

When are we allowed to use the $\exists$ elimination rule in first-order natural deduction?

How to derive ~ ( P&Q) from ~ P using natural deduction?

Usage of (x, 1) (1) in natural deduction

Natural deduction proof: $C, (C \land D)↔F \vdash (D \land E) \to F$

How do I formally prove a universal implication?

Why is the left-intro rule in Sequent Calculus equivalent to elimination rule in Natural Deduction?

Understanding ex falso quodlibet together with proof by contradiction in a Gentzen style ND Proof

Is this proof correct? Can you help me with this propositional logic exercise?

Are any of these sequents provable using ND rules?

Natural Deduction Proof for Modus Tollens

Tautology with Natural Deduction

Natural Deduction: Universal Introduction rule concerning free variables in Van Dalen's "Logic and Structure"

Show that $ \forall{x}\exists{y}{(P(x) \to Q(y))} \vdash \exists{y}\forall{x}{(P(x) \to Q(y))} $

Did I solve this correctly? (Natural deduction)

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