Question

Recursive function $Hyp: DER \to 2^{PROP}$ such that given a derviation in PROP the function returns the set of all its hypotheses?

score 90 · Answer 1 · 2020-06-23 17:34:09

90

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Recursive function $Hyp: DER \to 2^{PROP}$ such that given a derviation in PROP the function returns the set of all its hypotheses?

Published on 23 Jun 2020 - 17:34

score 284 · Answer 2 · 2020-06-29 15:46:09

284

Views

Natural deduction proof that $(P\leftrightarrow \neg P)$ is a contradiction, without first deriving $(P\vee \neg P)$

Published on 29 Jun 2020 - 15:46

score 144 · Answer 3 · 2020-07-02 00:48:37

144

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Line $K$ is parallel to line $U$, and line $L$ intersects line $K$ at point $P$. Show $L \nparallel U$.

Published on 02 Jul 2020 - 0:48

score 186 · Answer 4 · 2026-03-25 17:38:18

186

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Diamond Distribution in system K (Garson Modal Logic exercise 1.8)

Published on 25 Mar 2026 - 17:38

score 67 · Answer 5 · 2020-07-04 23:47:31

67

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If $L_1$ is perpendicular to line $K$, and $L_2$ is also perpendicular to line $K$, then $L_1$ is parallel to $L_2$.

Published on 04 Jul 2020 - 23:47

score 46 · Answer 6 · 2026-02-23 08:34:31

46

Views

Empty Context in Deduction Theorem

Published on 23 Feb 2026 - 8:34

score 125 · Answer 7 · 2026-03-25 17:37:40

125

Views

Garson Exercise 2.4(a), Show axiom (4) is provable in S5

Published on 25 Mar 2026 - 17:37

score 135 · Answer 8 · 2026-03-25 11:09:56

135

Views

Is there a strictly non-constructive proof for every constructive proof?

Published on 25 Mar 2026 - 11:09

score 152 · Answer 9 · 2026-02-23 08:34:56

152

Views

Contexts in Natural Deduction

Published on 23 Feb 2026 - 8:34

score 673 · Answer 10 · 2020-07-11 10:25:40

673

Views

Is law of excluded middle necessary in this proof?

Published on 11 Jul 2020 - 10:25

score 175 · Answer 11 · 2020-07-14 23:01:48

175

Views

How is this done without conditional proof?

Published on 14 Jul 2020 - 23:01

score 259 · Answer 12 · 2026-02-23 08:40:54

259

Views

What is the definition of "a derivation of a sequent "?

Published on 23 Feb 2026 - 8:40

score 103 · Answer 13 · 2020-07-26 20:59:09

103

Views

Does equivalence between different deductive systems consider choices of axioms?

Published on 26 Jul 2020 - 20:59

score 134 · Answer 14 · 2020-07-28 15:11:28

How to prove $(p \lor q); (p\rightarrow r); (q\rightarrow s);$ therefore $(r \lor s),$ without modes tollens or derived rules for natural deduction

score 116 · Answer 15 · 2020-07-29 03:08:15

116

Views

Using double induction to prove soundness of Natural Deduction?

Published on 29 Jul 2020 - 3:08

List Question

Recursive function $Hyp: DER \to 2^{PROP}$ such that given a derviation in PROP the function returns the set of all its hypotheses?

Natural deduction proof that $(P\leftrightarrow \neg P)$ is a contradiction, without first deriving $(P\vee \neg P)$

Line $K$ is parallel to line $U$, and line $L$ intersects line $K$ at point $P$. Show $L \nparallel U$.

Diamond Distribution in system K (Garson Modal Logic exercise 1.8)

If $L_1$ is perpendicular to line $K$, and $L_2$ is also perpendicular to line $K$, then $L_1$ is parallel to $L_2$.

Empty Context in Deduction Theorem

Garson Exercise 2.4(a), Show axiom (4) is provable in S5

Is there a strictly non-constructive proof for every constructive proof?

Contexts in Natural Deduction

Is law of excluded middle necessary in this proof?

How is this done without conditional proof?

What is the definition of "a derivation of a sequent "?

Does equivalence between different deductive systems consider choices of axioms?

How to prove $(p \lor q); (p\rightarrow r); (q\rightarrow s);$ therefore $(r \lor s),$ without modes tollens or derived rules for natural deduction

Using double induction to prove soundness of Natural Deduction?

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