Question

How to prove two statements given axioms

score 108 · Answer 1 · 2017-09-28 20:26:20

108

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How to prove two statements given axioms

Published on 28 Sep 2017 - 20:26

score 345 · Answer 2 · 2017-10-06 02:33:51

345

Views

Rules of Inference : Showing that we can conclude $\exists xP(x) \lor \exists xQ(x)$ from $\exists x( P(x) \lor Q(x))$

Published on 06 Oct 2017 - 2:33

score 37 · Answer 3 · 2017-10-08 18:54:50

37

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Examples for these inference rules?

Published on 08 Oct 2017 - 18:54

score 209 · Answer 4 · 2017-10-11 07:51:50

209

Views

Formally prove that these two premises are contradictory

Published on 11 Oct 2017 - 7:51

score 109 · Answer 5 · 2017-11-06 16:29:50

109

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How to prove this sequent by natural deduction?

Published on 06 Nov 2017 - 16:29

score 182 · Answer 6 · 2017-11-06 17:30:14

182

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How to prove this sequent by natural deduction?

Published on 06 Nov 2017 - 17:30

score 233 · Answer 7 · 2017-11-06 18:16:48

233

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How to prove there is no natural deduction proof for $\forall x(P(x)\lor Q(x))\vdash\forall xP(x) \lor ∀xQ(x).$

Published on 06 Nov 2017 - 18:16

score 283 · Answer 8 · 2017-11-06 19:24:42

283

Views

How to semantically show $\forall x\neg \phi \vDash \neg\exists x \phi.$

Published on 06 Nov 2017 - 19:24

score 127 · Answer 9 · 2017-11-14 05:16:20

127

Views

Disprove $\{(\exists x(P(x)\to Q(x))),(\exists y P(y))\}\vdash(\exists x Q(x))$

Published on 14 Nov 2017 - 5:16

score 13.8k · Answer 10 · 2017-11-16 14:53:57

13.8k

Views

Propositional Logic Proof of DeMorgan's Law

Published on 16 Nov 2017 - 14:53

score 230 · Answer 11 · 2026-02-23 17:00:58

230

Views

Prove TRUE is derivable (or provable) from the Empty Set (Ex 3, Sec 1.4 in "A Concise Introduction to Mathematical Logic" by Rautenberg.)

Published on 23 Feb 2026 - 17:00

score 5.2k · Answer 12 · 2017-11-20 15:14:29

5.2k

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How to prove ⊢B→(A→B) (no premise) using natural deduction?

Published on 20 Nov 2017 - 15:14

score 487 · Answer 13 · 2017-11-20 19:14:01

487

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Using natural deduction to prove $p \rightarrow (q \wedge r)\vdash (q\rightarrow r) \vee \neg (p \vee r)$.

Published on 20 Nov 2017 - 19:14

score 1.1k · Answer 14 · 2017-11-21 07:32:36

1.1k

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Use the Fitch System to prove (¬p ⇒ q) ⇒ ((¬p ⇒ ¬q) ⇒ p).

Published on 21 Nov 2017 - 7:32

score 680 · Answer 15 · 2017-11-23 15:59:17

680

Views

Order of discharging assumptions in natural deduction

Published on 23 Nov 2017 - 15:59

List Question

How to prove two statements given axioms

Rules of Inference : Showing that we can conclude $\exists xP(x) \lor \exists xQ(x)$ from $\exists x( P(x) \lor Q(x))$

Examples for these inference rules?

Formally prove that these two premises are contradictory

How to prove this sequent by natural deduction?

How to prove this sequent by natural deduction?

How to prove there is no natural deduction proof for $\forall x(P(x)\lor Q(x))\vdash\forall xP(x) \lor ∀xQ(x).$

How to semantically show $\forall x\neg \phi \vDash \neg\exists x \phi.$

Disprove $\{(\exists x(P(x)\to Q(x))),(\exists y P(y))\}\vdash(\exists x Q(x))$

Propositional Logic Proof of DeMorgan's Law

Prove TRUE is derivable (or provable) from the Empty Set (Ex 3, Sec 1.4 in "A Concise Introduction to Mathematical Logic" by Rautenberg.)

How to prove ⊢B→(A→B) (no premise) using natural deduction?

Using natural deduction to prove $p \rightarrow (q \wedge r)\vdash (q\rightarrow r) \vee \neg (p \vee r)$.

Use the Fitch System to prove (¬p ⇒ q) ⇒ ((¬p ⇒ ¬q) ⇒ p).

Order of discharging assumptions in natural deduction

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