Artificial Intelligence CS 441/541

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Artificial Intelligence CS 441/541. Instructor: Melanie Mitchell. Eliza Alice intlab_320x240.mov ASIMO Chinook Checkers demo Theorem prover PathLearner. Copycat Sims virtual creatures Lipson lab videos EMI Aaron Computer vision Genetic algorithms Kismet. AI Demos. - PowerPoint PPT Presentation

Transcript of Artificial Intelligence CS 441/541

Artificial IntelligenceCS 441/541

Instructor: Melanie Mitchell

Harold Cohen and AARON

Proof of undecidability of the halting problem:

(1) Define h (g, i): = 1 if g halts on i, 0 otherwise. Assume h exists.

(2) Define h’(g) = returns 1 if h(g,g) returns 0; goes into infinite loop otherwise.

Does h’(h’) halt?

h’(h’) halts iff h(h’,h’) returns 0, which, by (1), implies h’ does not halt on h’.

h’(h’) does not halt iff h(h’,h’) returns 1, which, by (1), implies h’ does halt on h’. CONTRADICTION!

Therefore, h cannot exist.

Story: “John went to a restaurant. The hostess seated John. The hostess gave John a menu. The waiter came to the table. John ordered lobster. John was served quickly. John left a large tip. John left the restaurant.”

Questions for SAM and SAM’s answers:

Restaurant script:

• roles customer C, waiter W

• props table T, menu M, food F, bill B, money D

• settings restaurant R

• entry conditions C is hungry, C has D

• results C is satiated

• scenes

• 1. Entering: C goes to R, C sits at T

• 2. Ordering: C reads M, C chooses F, W comes to T, C requests F from W

• 3. Eating: W brings F to C, C eats F

• 4. Exiting: W brings B to C, C gives D to W, C leaves R

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