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        <description>Books

	*   Main
		*  Regulament
		*  Lectures:
			*  TBA

		*  Labs:
			*  Laboratorul 1 - Text editor
			*  Laboratorul 2 - Notații asimptotice și analiză amortizată
			*  Laboratorul 3 - Analiză Amortizată și TDA-uri
			*  Laboratorul 4 - Inducție structurală
			*  Laboratorul 5 - Analiză Probabilistă în Hashing
			*  Laboratorul 6 - Recurențe
			*  Laboratorul 7 - Recurențe 2
			*  Laboratorul 8 - Arbori Binari de Căutare
			*  Laboratorul 9 - Arbori Echilibrați
			*  Laboratorul 10 - Proble…</description>
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        <title>fp2025:lab09</title>
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        <description>Lab 9. Covariance and contravariance

In this lab we will be presenting covariance and contravariance for generic types in Scala.

 Objectives: 

	*  get yourself familiar with covariance and contravariance
	*  see the benefits of using these concepts</description>
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        <description>Lab 10. Functors &amp; Monads

10.0. Understanding Functors and Monads

Functor

The Functor typeclass represents the mathematical functor: a mapping between categories. 


In Haskell, Functors are defined as follows:


class Functor m where
  fmap :: (a -&gt; b) -&gt; f a -&gt; f b

$(&gt;&gt;=)$</description>
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        <description>Lambda Calculus Interpreter

Deadline:
	*  Temele trebuie submise pe  Moodle , în assignment-ul Tema 2.
	*  Pentru întrebări folosiți forum-ul dedicat de pe  Moodle .

În cadrul acestei teme va trebui să realizezi un interpretor de expresii lambda în Haskell. $( \lambda x.e_1 \ e_2 $$\beta$$\beta$$(\lambda x.\lambda y.(x \ y) \ \lambda x.y)$$\lambda y.(\lambda x.y \ y)$$ y$$\lambda x.y$$\lambda y.$$\lambda a.(\lambda x.y \ a)$$\beta$$ TRUE $$\lambda x.FALSE $$ \lambda x.(NOT \ \lambda y.AND) $$\…</description>
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        <description>9. Lazy Evaluation

When passing parameters to a function, programming language design offers two options which are not mutually exclusive (both strategies can be implemented in the language):

	*  applicative (also called strict) evaluation strategy:$ n $$ 2$$ parent + 1$$ parent * 2$$ \lvert s_n - s_{n+1} \rvert &lt; e$$ \displaystyle \lim_{n \rightarrow \infty} \frac{F_{n+1}}{F_n} = \varphi$$ F_n$$ \varphi$$ a_{n+1} = a_n + sin(a_n)$$ a_0$$ a_{n+1} != a_n$$ \displaystyle \lim_{n \rightarrow \inf…</description>
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        <description>Lab 5. Data types in Scala

Objectives:

	*  get familiar with algebraic data types
	*  get familiar with pattern matching and recursion with them

5.1 Natural Numbers

Given the following implementation of the natural numbers, solve the next few exercises.$  \displaystyle \left(\begin{array}{ccc} 1 &amp; 2 &amp; 3 \\ 4 &amp; 5 &amp; 6 \\ 7 &amp; 8 &amp; 9 \\ \end{array}\right)$$  \displaystyle 2 * \left(\begin{array}{ccc} 1 &amp; 2 &amp; 3 \\ 4 &amp; 5 &amp; 6 \\ 7 &amp; 8 &amp; 9 \\ \end{array}\right) = \left(\begin{array}{ccc} 2 &amp; 4 &amp; 6 \\…</description>
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        <description>Homework 3: 5-in-a-row

In this homework, you will implement functionality which will allow you to design a completely functional 5-in-a-row game. 

About 5-in-a-row

The game:

	*  can be played on a square board of any size larger or equal to 5.
	*</description>
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        <description>Haskell Environment

Setup

Primul pas spre a putea învăța Haskell este să avem o modalitate de a rula codul scris. Puteți descărca platforma Haskell de aici (Windows/OS X/Linux) sau puteți căuta pachetul “ghc” în repourile distribuției voastre.</description>
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