artificial intelligence cs 441/541 instructor: melanie mitchell

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Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell

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Page 1: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell

Artificial IntelligenceCS 441/541

Instructor: Melanie Mitchell

Page 3: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell

Harold Cohen and AARON

Page 4: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell

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.

Page 5: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell

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:

Page 6: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell
Page 7: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell
Page 8: Artificial Intelligence CS 441/541 Instructor: Melanie Mitchell

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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