Question

How to convert $((A\lor B)\land ((B\leftrightarrow A)\rightarrow C))\lor(C\rightarrow \lnot A)$ into CNF.

score 62 · Answer 1 · 2026-04-12 00:23:51

62

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How to convert $((A\lor B)\land ((B\leftrightarrow A)\rightarrow C))\lor(C\rightarrow \lnot A)$ into CNF.

Published on 12 Apr 2026 - 0:23

score 143 · Answer 2 · 2026-05-11 02:50:23

143

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Why is $∧$ used in the right-hand side of $¬(∀x, P(x) → (Q(x) ∧ R(x))) ≡ ∃x, P(x) ∧ (¬Q(x) ∨ ¬R(x))$?

Published on 11 May 2026 - 2:50

score 99 · Answer 3 · 2026-04-15 23:56:06

99

Views

Difference between these logical expressions of "if P, then Q"

Published on 15 Apr 2026 - 23:56

score 72 · Answer 4 · 2026-04-16 18:39:51

72

Views

By induction prove $ P(n) := $ "$ B \rightarrow \varphi_{n}(B,\rightarrow)$"

Published on 16 Apr 2026 - 18:39

score 65 · Answer 5 · 2026-05-15 10:44:22

65

Views

Using compactness theorem for propositional calculus

Published on 15 May 2026 - 10:44

score 206 · Answer 6 · 2026-05-10 15:55:05

206

Views

Exercise 2 (p. 30) on W. Rautenberg - A concise introduction to Logic.

Published on 10 May 2026 - 15:55

score 1.4k · Answer 7 · 2026-05-10 16:59:53

1.4k

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When "If $A$ is true then $B$ is true", is it valid to assert that "If $B$ is false, $A$ must also be false"?

Published on 10 May 2026 - 16:59

score 44 · Answer 8 · 2026-04-12 14:25:03

44

Views

Is modus tollens applicable when a premise contains additional information

Published on 12 Apr 2026 - 14:25

score 1k · Answer 9 · 2026-04-14 02:22:44

1k

Views

Associative laws with negation

Published on 14 Apr 2026 - 2:22

score 94 · Answer 10 · 2026-04-11 11:12:55

94

Views

Lemma to compactness theorem for propositional logic

Published on 11 Apr 2026 - 11:12

score 108 · Answer 11 · 2026-05-10 17:56:17

108

Views

Fitch Style Proof

Published on 10 May 2026 - 17:56

score 106 · Answer 12 · 2026-04-11 15:21:48

106

Views

In propositional logic, why are there two implies?

Published on 11 Apr 2026 - 15:21

score 54 · Answer 13 · 2026-04-12 09:24:29

54

Views

Logic-Deduction

Published on 12 Apr 2026 - 9:24

score 787 · Answer 14 · 2026-04-17 02:11:28

787

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What is the difference between ∀x(p(x) →q(x)) and ∀x(p(x) ∧q(x))?

Published on 17 Apr 2026 - 2:11

score 1k · Answer 15 · 2026-04-10 03:20:25

1k

Views

Logical Equivalences dealing with Equivalence Rules

Published on 10 Apr 2026 - 3:20

List Question

How to convert $((A\lor B)\land ((B\leftrightarrow A)\rightarrow C))\lor(C\rightarrow \lnot A)$ into CNF.

Why is $∧$ used in the right-hand side of $¬(∀x, P(x) → (Q(x) ∧ R(x))) ≡ ∃x, P(x) ∧ (¬Q(x) ∨ ¬R(x))$?

Difference between these logical expressions of "if P, then Q"

By induction prove $ P(n) := $ "$ B \rightarrow \varphi_{n}(B,\rightarrow)$"

Using compactness theorem for propositional calculus

Exercise 2 (p. 30) on W. Rautenberg - A concise introduction to Logic.

When "If $A$ is true then $B$ is true", is it valid to assert that "If $B$ is false, $A$ must also be false"?

Is modus tollens applicable when a premise contains additional information

Associative laws with negation

Lemma to compactness theorem for propositional logic

Fitch Style Proof

In propositional logic, why are there two implies?

Logic-Deduction

What is the difference between ∀x(p(x) →q(x)) and ∀x(p(x) ∧q(x))?

Logical Equivalences dealing with Equivalence Rules

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