Exercise-ch2: Difference between revisions

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Line 15: Line 15:
+ '''gandalf'''
+ '''gandalf'''
+ '''hobbit'''
+ '''hobbit'''
- ∃ ''x''
|| A quantifier, ∀ or ∃, can only be used with a variable and a formula. For example: ∃''x''('''hobbit'''(''x''))
- '''know'''('''gandalf''')
- '''know'''('''gandalf''')
|| '''know''' is a 2-place predicate. Therefore it must combine with two arguments.
|| '''know''' is a 2-place predicate. Therefore it must combine with two arguments.





Revision as of 19:42, 15 March 2013

Additional Exercises for Chapter 2: Predicate Logic

Formulae

∀ ∃ ∧ ∨ ⊂ ⊃ ¬

For the following exercises we use names and properties from the The Lord of the Rings novels.

Names: frodo, sam, gandalf, aragorn
1-place predicates: hobbit
2-place predicates: know, help

  

1 Click on the items that are well-formed expressions of the semantic representation language.

gandalf
hobbit
x
know(gandalf)

2 Click on the expressions that are well-formed formulae.

hobbit
frodo
hobbit(aragorn)
frodogandalf
x (hobbit(x) ⊃ x = gandalf)