Question

How can I prove that $ \neg (A \Rightarrow B) \iff A \land \neg B$ on a more formal level?

score 232 · Answer 1 · 2020-03-21 12:57:03

232

Views

How can I prove that $ \neg (A \Rightarrow B) \iff A \land \neg B$ on a more formal level?

Published on 21 Mar 2020 - 12:57

score 202 · Answer 2 · 2020-03-21 22:19:21

202

Views

Give a Hilbert Style Proof using Modus Ponens

Published on 21 Mar 2020 - 22:19

score 70 · Answer 3 · 2026-03-25 09:34:40

70

Views

Definition of proposition in a constructive setting

Published on 25 Mar 2026 - 9:34

score 144 · Answer 4 · 2020-03-22 15:18:18

144

Views

Simplifying Logical Expression $(p∧q)∧\neg(\neg p∧q)∧(q∧r)$

Published on 22 Mar 2020 - 15:18

score 784 · Answer 5 · 2026-04-01 01:43:27

784

Views

Construct a compound proposition that asserts that every cell of a 9 × 9 Sudoku puzzle contains at least one number

Published on 01 Apr 2026 - 1:43

score 247 · Answer 6 · 2020-03-23 03:40:17

247

Views

negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich"

Published on 23 Mar 2020 - 3:40

score 57 · Answer 7 · 2026-03-26 07:35:34

57

Views

Show $\neg (W \to W), (W \leftrightarrow W) \wedge W, E \vee (W \to \neg (E \wedge W))$ are jointly inconsistent.

Published on 26 Mar 2026 - 7:35

score 160 · Answer 8 · 2026-03-26 07:34:47

160

Views

Prove $\exists x (A(x) \to \forall y(A(y))$ is a theorem.

Published on 26 Mar 2026 - 7:34

score 168 · Answer 9 · 2020-03-24 00:35:36

168

Views

Simplest Proof of Pierce's Law

Published on 24 Mar 2020 - 0:35

score 147 · Answer 10 · 2026-03-26 07:33:48

147

Views

Prove $\exists x (\exists yA(y) \to A(x))$ is a theorem.

Published on 26 Mar 2026 - 7:33

score 67 · Answer 11 · 2020-03-25 06:31:40

67

Views

Show that these two conditional statements are tautologies without using truth tables.

Published on 25 Mar 2020 - 6:31

score 416 · Answer 12 · 2026-03-26 04:51:45

416

Views

Proof of consistency of propositional logic

Published on 26 Mar 2026 - 4:51

score 44 · Answer 13 · 2026-04-04 16:19:44

44

Views

Is there a definition of a translation from propositional logic to first order logic?

Published on 04 Apr 2026 - 16:19

score 1k · Answer 14 · 2026-03-25 04:39:12

1k

Views

Can a logical formula that is a contradiction be represented as Disjunctive Normal Form?

Published on 25 Mar 2026 - 4:39

score 131 · Answer 15 · 2020-03-26 17:57:29

131

Views

Implication, a necessary condition, a sufficient condition

Published on 26 Mar 2020 - 17:57

List Question

How can I prove that $ \neg (A \Rightarrow B) \iff A \land \neg B$ on a more formal level?

Give a Hilbert Style Proof using Modus Ponens

Definition of proposition in a constructive setting

Simplifying Logical Expression $(p∧q)∧\neg(\neg p∧q)∧(q∧r)$

Construct a compound proposition that asserts that every cell of a 9 × 9 Sudoku puzzle contains at least one number

negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich"

Show $\neg (W \to W), (W \leftrightarrow W) \wedge W, E \vee (W \to \neg (E \wedge W))$ are jointly inconsistent.

Prove $\exists x (A(x) \to \forall y(A(y))$ is a theorem.

Simplest Proof of Pierce's Law

Prove $\exists x (\exists yA(y) \to A(x))$ is a theorem.

Show that these two conditional statements are tautologies without using truth tables.

Proof of consistency of propositional logic

Is there a definition of a translation from propositional logic to first order logic?

Can a logical formula that is a contradiction be represented as Disjunctive Normal Form?

Implication, a necessary condition, a sufficient condition

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