AI Tutor
Back to Semantic concepts

Exercise J

Avg difficulty 3.0

Determine whether each argument is valid or invalid, using a complete truth table.

  1. A∨[A→(A↔A)]∴AA\vee\bigl[A\rightarrow(A\leftrightarrow A)\bigr]\therefore A

  2. A∨BA\vee B, B∨CB\vee C, ¬B∴A∧C\neg B\therefore A\wedge C

  3. A→BA\rightarrow B, ¬A∴¬B\neg A\therefore\neg B

  4. AA, B∴¬(A→¬B)B\therefore\neg(A\rightarrow\neg B)

  5. ¬(A∧B)\neg(A\wedge B), A∨BA\vee B, A↔B∴CA\leftrightarrow B\therefore C

Magnus et al., forall x: Calgary, Truth tables, Semantic concepts, Exercise J

AI Tutor

Adapted from forall x: Calgary © 2025 P. D. Magnus, Tim Button, Robert Trueman, and Richard Zach. Licensed under CC BY 4.0. Source: forall x: Calgary. Imported at revision ec34df8.