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Algorithms and Complexity Theory
  • Main
  • Regulament
  • Lectures:
    • 3 Problems Challenge
    • Problems and Algorithms + Turing Machines
    • Computing
    • Multitape TMs + Universal TMs
    • Undecidable problems
    • Reductions
    • Undecidability Results
    • Computational resources
    • Complexity across computational models
    • "Hard?" problems
    • Polynomial-time reductions
    • P vs. NP
    • Hardness and completeness
    • Recurrence relations
    • The Master Method
    • Quicksort
    • Amortized Analysis
    • Algebraic Data Types
    • Structural Induction
  • Labs:
    • Math recap
    • Turing Machines
    • Computing
    • Reduceri
    • Mai multe reduceri
    • NotaČ›ii asimptotice
    • Hard Problems
    • Polynomial-time reductions
    • Hardness and Completeness
    • Recurrence relations
    • Recurrence relations (part 2)
    • Amortized Analysis
    • Structural Induction
Formal Languages and Automata
  • LFA 2023-2024
  • Echipa
  • Regulament
  • Lectures
  • Proiect
    • Etapa 1
    • Etapa 2
  • Labs
    • 1. DFA intro
    • 2. Programming introduction - Python
    • 3. Regular Expressions
    • 4. Regex Representation in Python
    • 5. Regex to NFA to DFA conversions
    • 6. DFA Minimisation
    • 7. Closure properties
    • 8. Pumping lemma
    • 9. Push Down Automata
    • 10. Context-Free Grammars
    • 11. Closure properties for Context-Free Languages
Programming Paradigms
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  • Team
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  • Plagiarism
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    • Scala Environment
    • Scala Cheatsheet
    • Haskell Environment
    • Ghid de utilizare Hoogle
    • Haskell Cheatsheet
  • Labs
    • L01: Recursion
    • L02: Higher-order functions
    • L03: Algebraic Datatype Definition
    • L04: Lists in Scala
    • L05: Data types in Scala
    • L06: For expressions
    • L07: Lambda Calculus
    • L08: Intro to Haskell
    • L09: Lazy Evaluation
    • L10: Functors & Monads
    • L11: Classes, Applicatives and More Monads
  • Homeworks
    • Homework 1
    • Homework 2
    • Homework 3
Functional Programming
  • Functional Programming 2024
  • Team
  • Rules
  • Plagiarism
Lecture notes
  • TBA
Labs
  • Lab 01: Scala IDEs
  • Lab 02: Recursion
  • Lab 03: Higher-order functions
  • Lab 04: Type definitions
  • Lab 05: Functional vs OO decomposition
  • Lab 06: List applications
  • Lab 07: Matrices
Homework
  • Submission Guidelines
  • Homework 1: Sets as functions
  • Homework 2: Sets as trees
  • Homework 3: Five-in-a-row
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This is an old revision of the document!

Reductions

Lecture notes:

06. Reductions (Notes)

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