Question

How to prove $\neg(p\to q) \vdash p \land \neg q$ in NK/NJ?

score 271 · Answer 1 · 2019-07-13 01:30:42

271

Views

How to prove $\neg(p\to q) \vdash p \land \neg q$ in NK/NJ?

Published on 13 Jul 2019 - 1:30

score 285 · Answer 2 · 2019-07-13 20:58:26

285

Views

Absorption's Law - Negative proposition affects the law?

Published on 13 Jul 2019 - 20:58

score 82 · Answer 3 · 2019-07-14 17:00:01

82

Views

Can you replace any Statement in a Tautology?

Published on 14 Jul 2019 - 17:00

score 153 · Answer 4 · 2026-03-25 17:44:33

153

Views

Deduction of $\forall x(\neg p(x)\rightarrow q(x)), \forall z(p(z)\rightarrow r(z))\vdash \forall z(\neg r(z) \rightarrow\exists yq(y))$

Published on 25 Mar 2026 - 17:44

score 189 · Answer 5 · 2019-07-17 16:54:06

189

Views

Prove that $(\neg P \lor Q)\wedge (P \lor \neg R)\wedge (\neg P \lor \neg Q)$ and $\neg (P \lor R)$ logically equivalent.

Published on 17 Jul 2019 - 16:54

score 104 · Answer 6 · 2026-03-28 13:20:37

104

Views

How to formalize this simple problem in logic?

Published on 28 Mar 2026 - 13:20

score 35 · Answer 7 · 2019-07-18 09:04:26

35

Views

How can I simplify this proposition where 4 out of 5 values are true and the remaining 1 out of 5 is false?

Published on 18 Jul 2019 - 9:04

score 110 · Answer 8 · 2026-03-28 14:55:35

110

Views

Vacuous Truths and Continuity at a Point Where a Map is Undefined

Published on 28 Mar 2026 - 14:55

score 83 · Answer 9 · 2019-07-20 01:25:09

83

Views

Symbolic Logic Proof -- Typo?

Published on 20 Jul 2019 - 1:25

score 1k · Answer 10 · 2026-03-28 14:53:37

1k

Views

Question: Is This a Proposition?

Published on 28 Mar 2026 - 14:53

score 83 · Answer 11 · 2019-07-20 03:05:08

83

Views

Prove using properties of logical equivalence $(P\wedge (P \to (Q \to R))) \to (Q \to R)$ is a tautology

Published on 20 Jul 2019 - 3:05

score 151 · Answer 12 · 2019-07-21 14:55:13

151

Views

Prove that if P, then $Q → ¬(Q → ¬P)$

Published on 21 Jul 2019 - 14:55

score 77 · Answer 13 · 2026-03-28 14:56:50

77

Views

Prove $(\exists x)A\to((\exists x)(A\wedge(B\vee C))\equiv B \vee (\exists x)(A\wedge C))$, if $x$ is not free in $B$

Published on 28 Mar 2026 - 14:56

score 298 · Answer 14 · 2026-03-25 03:02:13

298

Views

What's the most efficient way to convert any propositionnal logic formula to DNF

Published on 25 Mar 2026 - 3:02

score 171 · Answer 15 · 2026-03-25 15:53:01

171

Views

Prove $\neg (p \land q) \vdash \neg p \lor \neg q$ by natural deduction

Published on 25 Mar 2026 - 15:53

List Question

How to prove $\neg(p\to q) \vdash p \land \neg q$ in NK/NJ?

Absorption's Law - Negative proposition affects the law?

Can you replace any Statement in a Tautology?

Deduction of $\forall x(\neg p(x)\rightarrow q(x)), \forall z(p(z)\rightarrow r(z))\vdash \forall z(\neg r(z) \rightarrow\exists yq(y))$

Prove that $(\neg P \lor Q)\wedge (P \lor \neg R)\wedge (\neg P \lor \neg Q)$ and $\neg (P \lor R)$ logically equivalent.

How to formalize this simple problem in logic?

How can I simplify this proposition where 4 out of 5 values are true and the remaining 1 out of 5 is false?

Vacuous Truths and Continuity at a Point Where a Map is Undefined

Symbolic Logic Proof -- Typo?

Question: Is This a Proposition?

Prove using properties of logical equivalence $(P\wedge (P \to (Q \to R))) \to (Q \to R)$ is a tautology

Prove that if P, then $Q → ¬(Q → ¬P)$

Prove $(\exists x)A\to((\exists x)(A\wedge(B\vee C))\equiv B \vee (\exists x)(A\wedge C))$, if $x$ is not free in $B$

What's the most efficient way to convert any propositionnal logic formula to DNF

Prove $\neg (p \land q) \vdash \neg p \lor \neg q$ by natural deduction

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