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Wumpus World Description

Wumpus World Description. Let’s play another game. Review : Knowledge Bases. Review:Knowledge-Based Agent. Logic. When we have too many states, we want a convenient way of dealing with sets of states. The sentence “It’s sunny” stands for all the states of the world in which it is sunny.

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Wumpus World Description

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  1. Wumpus World Description

  2. Let’s play another game

  3. Review : Knowledge Bases

  4. Review:Knowledge-Based Agent

  5. Logic • When we have too many states, we want a convenient way of dealing with sets of states. • The sentence “It’s sunny” stands for all the states of the world in which it is sunny. • Logic provides a way of manipulating big collections of sets by manipulating short descriptions instead. • Instead of thinking about all the ways a world could be, we’re going to work in a language of expressions that describe those sets.

  6. What is a logic? • A formal language • Syntax – what expressions are legal • Semantics – what legal expressions mean • Proof system – a way of manipulating syntactic expressions to get other syntactic expressions (which will tell us something new) • Why proofs? Two kinds of inferences an agent might want to make: • Multiple percepts  conclusions about the world • Current state & operator  properties of next state

  7. Logic in general

  8. Entailment

  9. Models

  10. Types of logic

  11. Propositional logic: syntax

  12. Propositional logic: semantics

  13. Truth tables • Truth value: whether a statement is true or false. • Truth table: complete list of truth values for a statement given all possible values of the individual atomic expressions. Example: P Q P V Q T T T T F T F T T F F F

  14. Truth tables for basic connectives Note that implication is not “causality”, if P is f then P -> Q is t

  15. Standard Logical Equivalences

  16. Inference rules

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