Exercise-ch5

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Exercises for chapter 5: Simple LRS

New notation

We have introduced the functional notation and the eventuality variable in chapter 5. What are the new formulae that correspond to the formulae from chapter 2?

1 Notation from chapter 2: hobbit(frodo)
New notation:

frodohobbit
hobbitfrodo

2 Notation from chapter 2: walk(frodo)
New notation:

walkfrodo
(walke)•frodo
(walkfrodo)•e

3 Notation from chapter 2: help(aragorn,frodo)
New notation:

((helpe)•frodo)•aragorn
((helpe)•aragorn)•frodo
((helparagorn)•frodo)•e


Semantic types

Add the semantic types in the blanks. Use simple letters ("e" or "t") for simple types. Use round brackets for complex types (for example: "(e,t)").

1 Add the types for simple expressions:

a. frodo_


b. hobbit_


c. walk_


d. help_


e. (hobitx)_

2 Add the semantic types for complex expressions:

a. ((walk_

e_

) • aragorn_

)_

b. (hobbit_

y_

)_