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Advanced information, computation, communication I

Advanced information, computation, communication I

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Some EPFL students love Lausanne.

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Not every EPFL student loves Lausanne.

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None of the others

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Every EPFL student loves Lausanne.

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Every physics major takes calculus. Mathilde takes calculus. Therefore, Mathilde is a physics major.

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All dogs hate cats. My pet is a dog. Therefore, my pet hates cats.

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Everyone who drinks more than 3 coffee every day is not healthy. Linda does not drink coffee. Therefore, Linda is healthy.

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All students understood Modus Ponens. Alice is a student in this class. Therefore, Alice understands Modus Ponens.

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Let , and be variables. is a full DNF.

Let , and be variables. is a full CNF.

Let and be variables. is a full CNF.

Let and be variables. is a full DNF.

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notation is used when a function's growth rate is exactly known and neither an upper nor a lower bound can be provided.

Inductive Step 4

Inductive Step 1

Inductive Step 5

Basis Step

Inductive Step 2 & 3

Inductive Step 6

n/2

(n+1)/2

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The set of all strings (infinite length allowed) associated with a finite alphabet.

The set of all finite-length strings associated with a countable alphabet.

The set of all finite-length strings associated with a finite alphabet.

The set of all surjective partial* functions from to .

*Reminder: A partial function from to is a mapping of each element to a unique element .

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