Problem 1 You find yourself in a maze walking and you reach

Problem #1: You find yourself in a maze walking and you reach a 3-way intersection. The roads have signs as follows: -on the left: “bad idea street”-in front of you: “don’t even try it road” -on the right: “you’re lost avenue” On each one of the roads there is a street vendor (hey, it’s Miami, they are everywhere!). You talk to the street vendors and this is what they tell you (after you buy some of their goods of course): -Street vendor on “bad idea street”: “This road will take you straight to Cold Stone Creamery. Also, if “you’re lost avenue” leads you to Cold Stone Creamery, then “don’t even try it road” will also take you to Cold Stone Creamery.” -Street vendor on “don’t even try it road”: “Neither “bad idea street” nor “you’re lost avenue” takes you to Cold Stone Creamery.” -Street vendor on “you’re lost avenue”: “Follow “bad idea street” and you’ll reach Cold Stone Creamery. Furthermore, follow “don’t even try it road” and you will never leave this maze (Muahaha).” It is common knowledge that street vendors never tell the truth. Furthermore, you are dying for some ice-cream, after a whole day of being lost in the maze. Can a road be chosen (with 100% certainty) such that it will take you to your neighborhood Cold Stone Creamery? If it can be done, which road would you choose? Provide formal language and propositional logic facts that formalize the problem and prove(show steps) whether a road can be chose so that you can be sure it will lead you to Cold Stone Creamery(for some yummy ice-cream).

P: “bad idea street”

Q: “don’t even try it road”

R: “you’re lost avenue”

Solution

let consider P is \"bad idea street\"

Q is \"don\'t even try it road\"

R is \"you\'re lost avenue\"

the vendor at street p says all the three streets P,Q,R leads cold stone creamery

the vendors at street Q says nethier P nor R leads to cold stone creamery.

the vendors at street R says P leads to cold stone creamery and if we follow Q we never live the maze

and well known fact is that no street vendors speaks the truth.

In my view, comparing all the statements above, Q the \"don\'t even try it road\" leads to the cold stone creamery. because the street vendors dont say truth but not always they will say some true and some false so all by considering these Q is an common street about which all the street vendors said it will leads to cold stone creamery.