Question

How to prove that $P_b \leftrightarrow (P_a \land P_b), P_a \leftrightarrow \neg P_b \vdash P_a$ with natural deduction

score 129 · Answer 1 · 2022-04-18 02:03:15

129

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How to prove that $P_b \leftrightarrow (P_a \land P_b), P_a \leftrightarrow \neg P_b \vdash P_a$ with natural deduction

Published on 18 Apr 2022 - 2:03

score 240 · Answer 2 · 2022-04-18 15:28:28

240

Views

Tips on initial assumptions for proofs using natural deduction - with a specific example.

Published on 18 Apr 2022 - 15:28

score 48 · Answer 3 · 2022-04-21 08:49:53

48

Views

Given the following rule for implication-introduction, is this the same rule that discharges assumptions?

Published on 21 Apr 2022 - 8:49

score 98 · Answer 4 · 2022-04-24 14:48:56

98

Views

A natural deduction proof of $\neg (A \wedge B) \rightarrow (A \rightarrow \neg B)$ without RAA

Published on 24 Apr 2022 - 14:48

score 252 · Answer 5 · 2026-03-29 14:06:49

252

Views

A natural deduction proof of $\neg (A \leftrightarrow \neg A ) $.

Published on 29 Mar 2026 - 14:06

score 130 · Answer 6 · 2022-04-28 17:41:52

130

Views

Proving $\exists x\lnot R(x), \forall x(P(x)\to Q(x)), \forall x(\lnot Q(x) \lor R(x)) \vdash \exists x\lnot P(x)$

Published on 28 Apr 2022 - 17:41

score 73 · Answer 7 · 2022-05-11 05:33:16

73

Views

Propositional Logic: Natural Deduction using Elimination and Introduction rules

Published on 11 May 2022 - 5:33

score 51 · Answer 8 · 2022-05-11 07:51:48

51

Views

Natural Deduction: Universal Quantifiers in Predicate

Published on 11 May 2022 - 7:51

score 50 · Answer 9 · 2022-05-11 10:50:16

50

Views

Predicate Logic: Deduction for Quantifiers

Published on 11 May 2022 - 10:50

score 148 · Answer 10 · 2026-02-24 00:09:15

148

Views

Natural Deduction: An unusual presentation?

Published on 24 Feb 2026 - 0:09

score 111 · Answer 11 · 2022-05-14 11:23:11

111

Views

How to prove $A \to (B \lor C)$ therefore $(A \to B) \lor (A \to C)$?

Published on 14 May 2022 - 11:23

score 98 · Answer 12 · 2022-05-17 22:06:20

98

Views

What strategies could be used to prove the validity of this argument in order to not violate restrictions on universal generalization (Hurley)

Published on 17 May 2022 - 22:06

score 122 · Answer 13 · 2022-06-12 13:32:08

122

Views

First-order logic: where's the the flaw in this argument?

Published on 12 Jun 2022 - 13:32

score 128 · Answer 14 · 2022-06-17 01:10:20

128

Views

How to prove (¬¬x→¬¬y) ⊢ (x→y)?

Published on 17 Jun 2022 - 1:10

score 109 · Answer 15 · 2026-03-29 13:59:20

109

Views

Natural deduction moving quantifiers

Published on 29 Mar 2026 - 13:59

List Question

How to prove that $P_b \leftrightarrow (P_a \land P_b), P_a \leftrightarrow \neg P_b \vdash P_a$ with natural deduction

Tips on initial assumptions for proofs using natural deduction - with a specific example.

Given the following rule for implication-introduction, is this the same rule that discharges assumptions?

A natural deduction proof of $\neg (A \wedge B) \rightarrow (A \rightarrow \neg B)$ without RAA

A natural deduction proof of $\neg (A \leftrightarrow \neg A ) $.

Proving $\exists x\lnot R(x), \forall x(P(x)\to Q(x)), \forall x(\lnot Q(x) \lor R(x)) \vdash \exists x\lnot P(x)$

Propositional Logic: Natural Deduction using Elimination and Introduction rules

Natural Deduction: Universal Quantifiers in Predicate

Predicate Logic: Deduction for Quantifiers

Natural Deduction: An unusual presentation?

How to prove $A \to (B \lor C)$ therefore $(A \to B) \lor (A \to C)$?

What strategies could be used to prove the validity of this argument in order to not violate restrictions on universal generalization (Hurley)

First-order logic: where's the the flaw in this argument?

How to prove (¬¬x→¬¬y) ⊢ (x→y)?

Natural deduction moving quantifiers

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