Question

help to prove the logical expression ¬¬A→A in HPC proof system

score 94 · Answer 1 · 2019-12-21 19:08:51

94

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help to prove the logical expression ¬¬A→A in HPC proof system

Published on 21 Dec 2019 - 19:08

score 597 · Answer 2 · 2019-12-23 15:04:23

597

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How to prove that ├ (¬¬φ⇒φ) and ├ (φ⇒¬¬φ) based on deduction and/or proof by contradiction?

Published on 23 Dec 2019 - 15:04

score 101 · Answer 3 · 2020-01-06 19:37:28

101

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changing the axiom $\forall x(A(x) \to B) \to (\exists xA(x)\to B) $ of Hilbert proof system for perdicate logic

Published on 06 Jan 2020 - 19:37

score 90 · Answer 4 · 2020-01-30 15:27:30

90

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Prove that $\alpha\vdash\beta$ implies $\alpha\vee\gamma\vdash\beta\vee\gamma$ using four unary Hilbert-style rules of inference.

Published on 30 Jan 2020 - 15:27

score 77 · Answer 5 · 2020-02-02 14:32:55

77

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Show that a Rule is Derivable in a Hilbert Calculus

Published on 02 Feb 2020 - 14:32

score 428 · Answer 6 · 2020-03-04 21:31:33

428

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What is the proof of reductio ad absurdum (RAA) in a Łukasiewicz axiom system for propositional logic with only modus ponens?

Published on 04 Mar 2020 - 21:31

score 191 · Answer 7 · 2020-03-15 23:10:12

191

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Hilbert System Logical Axiom 1 follows from Axioms 2 and 3

Published on 15 Mar 2020 - 23:10

score 39 · Answer 8 · 2020-04-06 13:28:24

39

Views

Multiple solutions for {↓} ⊢ (p → r) → r

Published on 06 Apr 2020 - 13:28

score 28 · Answer 9 · 2020-04-14 10:03:11

28

Views

Translation rules in Hilbert Calculus

Published on 14 Apr 2020 - 10:03

score 30 · Answer 10 · 2020-04-21 21:57:48

30

Views

Syntactical proof in a Hilbert system without additional lemmas

Published on 21 Apr 2020 - 21:57

score 585 · Answer 11 · 2020-04-28 22:37:48

585

Views

Prove the introduction of conjunction using axioms in a Hilbert system

Published on 28 Apr 2020 - 22:37

score 811 · Answer 12 · 2020-05-06 10:03:19

811

Views

Proving $\vdash \neg \neg P \to P$ (double negation elimination) in first order logic, preferrably without deduction theorem

Published on 06 May 2020 - 10:03

score 51 · Answer 13 · 2020-05-25 17:00:43

51

Views

Proving a linear form to be continuous

Published on 25 May 2020 - 17:00

score 163 · Answer 14 · 2020-05-29 12:22:50

163

Views

Transforming Hilbert-style Axiom Systems for Classical Propositional Logic and Retaining Soundness and Completeness

Published on 29 May 2020 - 12:22

score 23 · Answer 15 · 2020-06-02 16:51:13

23

Views

Proof verification: $\vdash ((\forall x_1 (\forall x_2 p(x_1, x_2))) \implies p(f(x_1, x_2), x_2))$.

Published on 02 Jun 2020 - 16:51

List Question

help to prove the logical expression ¬¬A→A in HPC proof system

How to prove that ├ (¬¬φ⇒φ) and ├ (φ⇒¬¬φ) based on deduction and/or proof by contradiction?

changing the axiom $\forall x(A(x) \to B) \to (\exists xA(x)\to B) $ of Hilbert proof system for perdicate logic

Prove that $\alpha\vdash\beta$ implies $\alpha\vee\gamma\vdash\beta\vee\gamma$ using four unary Hilbert-style rules of inference.

Show that a Rule is Derivable in a Hilbert Calculus

What is the proof of reductio ad absurdum (RAA) in a Łukasiewicz axiom system for propositional logic with only modus ponens?

Hilbert System Logical Axiom 1 follows from Axioms 2 and 3

Multiple solutions for {↓} ⊢ (p → r) → r

Translation rules in Hilbert Calculus

Syntactical proof in a Hilbert system without additional lemmas

Prove the introduction of conjunction using axioms in a Hilbert system

Proving $\vdash \neg \neg P \to P$ (double negation elimination) in first order logic, preferrably without deduction theorem

Proving a linear form to be continuous

Transforming Hilbert-style Axiom Systems for Classical Propositional Logic and Retaining Soundness and Completeness

Proof verification: $\vdash ((\forall x_1 (\forall x_2 p(x_1, x_2))) \implies p(f(x_1, x_2), x_2))$.

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