cs440-lec2-propositional-logic - Introduction to Artificial...

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Introduction to Artificial Intelligence Lecture #2: Propositional Logic UIUC CS 440 / ECE 448 Professor: Eyal Amir Fall Semester 2008
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Today Representation in Propositional Logic Axioms and Facts Boolean Algebras
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Representing Knowledge Propositional symbols represent facts under consideration: there_is_rain, there_are_clouds, door1_open, robot_in_pos_56_210 Not propositions: is_there_rain? location_of_robot Dan_Roth
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Examples The sun is shining Markovian Networks Despite it all Facebook is nice I think therefore I am Every man is either alive or dead
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Truth Values Logical formulas: atoms, connectives, sentences Truth Assignments Evaluating the truth value of a formula Truth tables
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Propositional Logic Semantics: Truth assignments that satisfy KB/formula ) ( ) ( b a b a ¬ -a -b a -b -a b a b Interpretations : I 1 [a]=FALSE I 1 [b]=FALSE assign truth values to propositional symbols I 1 I 2 I 3 I 4
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This note was uploaded on 05/04/2008 for the course CS 440 taught by Professor Eyalamir during the Spring '08 term at University of Illinois at Urbana–Champaign.

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cs440-lec2-propositional-logic - Introduction to Artificial...

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