34. Specify the following puzzle in propositional logic and convert the specification into CNF. Find the model of your CNF and use this model to construct a solution of the puzzle. Four boys are waiting for Thanksgiving dinner and each of them has a unique favorite food. Their names are Larry, Nick, Philip, and Tom. Their ages are all different and fall in the set of {8,9, 10, 11}. Find out which food they are expecting to eat. (a) Larry is looking forward to eating turkey. (b) The boy who likes pumpkin pie is one year younger than Philip. (c) Tom is younger than the boy that loves mashed potato. (d) The boy who likes ham is two years older than Philip.

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34. Specify the following puzzle in propositional logic and convert the specification
into CNF. Find the model of your CNF and use this model to construct a
solution of the puzzle.
Four boys are waiting for Thanksgiving dinner and each of them has
a unique favorite food. Their names are Larry, Nick, Philip, and
Tom. Their ages are all different and fall in the set of {8,9, 10, 11}.
Find out which food they are expecting to eat.
(a) Larry is looking forward to eating turkey.
(b) The boy who likes pumpkin pie is one year younger than Philip.
(c) Tom is younger than the boy that loves mashed potato.
(d) The boy who likes ham is two years older than Philip.
Transcribed Image Text:34. Specify the following puzzle in propositional logic and convert the specification into CNF. Find the model of your CNF and use this model to construct a solution of the puzzle. Four boys are waiting for Thanksgiving dinner and each of them has a unique favorite food. Their names are Larry, Nick, Philip, and Tom. Their ages are all different and fall in the set of {8,9, 10, 11}. Find out which food they are expecting to eat. (a) Larry is looking forward to eating turkey. (b) The boy who likes pumpkin pie is one year younger than Philip. (c) Tom is younger than the boy that loves mashed potato. (d) The boy who likes ham is two years older than Philip.
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