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Exercise 6. Consider the converse implication (A^ B)→ (¬AV¬B). a) Check that it is a classical tautology (and hence derivable in classical logic). b) Show that it is not intuitionistically derivable. This can be done by presenting an intuitionistic Kripke model in which this formula is not true.

Exercise 6. Consider the converse implication (A^ B)→ (¬AV¬B). a) Check that it is a classical tautology (and hence derivable in classical logic). b) Show that it is not intuitionistically derivable. This can be done by presenting an intuitionistic Kripke model in which this formula is not true.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 6. Consider the converse implication ¬(A ^ B)→ (¬A V ¬B). a) Check that it is a classical tautology (and hence derivable in classical logic). b) Show that it is not intuitionistically derivable. This can be done by presenting an intuitionistic Kripke model in which this formula is not true.
Transcribed Image Text:Exercise 6. Consider the converse implication ¬(A ^ B)→ (¬A V ¬B). a) Check that it is a classical tautology (and hence derivable in classical logic). b) Show that it is not intuitionistically derivable. This can be done by presenting an intuitionistic Kripke model in which this formula is not true.
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