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file mode 100644 index 0000000..869c9f9 --- /dev/null +++ b/2TP.md @@ -0,0 +1,42 @@ +# Au delà des Automates + +Nous avons vu avec le lemme de la pompe un outil permettant parfois de montrer qu'un langage n'est pas régulier. La propriété décrite par ce lemme -- le fait de pouvoir pomper -- est vraie en particulier si le langage est régulier. +Quand cette propriété n'est pas vérifiée, on peut en déduire que le langage n'est pas régulier. + +Établir la propriété ou sa contraposée correspond à avoir une stratégie gagnante entre deux joueurs Abélard et Éloïse. + +Lorsqu'Éloïse dispose d'un automate pour le langage, elle peut utiliser l'automate pour gagner au jeu "de la pompe". + +Une stratégie gagnante pour Éloïse pour le jeu dual permet de montrer que le langage n'est pas régulier. + +## Exo 1 +Jouez au jeu de la pompe pour 2 langages. L'un qui n'est pas régulier, l'autre qui l'est. + +## Exo2 + +Choisissez *Pushdown Automata* et programmez un automate qui accepte les mots de la forme a^n.b^n + +NB. la documentation est (ici)[https://www2.cs.duke.edu/csed/jflap/tutorial/] + +## Exo 3 +Choisissez l'activité "Turing Machine" et proposez un programme qui accepte les mots qui commencent et terminent par la même lettre. + +Dans un second temps proposer une machine de Turing qui fait des aller-retours en mangeant le extrémités égales du mots (ou rejette si différent) pour accepter les palindromes paires sur l'alphabet a,b. + +Pour finir utiliser la machine de Turing à 2 rubans pour reconnaître le langage des palindromes pairs sur a,b en seulement 2n étapes environ ou n est la taille du mot d'entrée. + +## Exo3. + +Utilisez grep pour résoudre wordle aujourd'hui. + +Le dossier grep contient 3 dictionnaires : +``` +american-english +answers.txt +wordle-allowed-guesses.txt +``` +Le second dictionnaire comprend les mots de 5 lettres qui peuvent être solution de wordle. +Le troisième comprend les mots qui ne sont pas forcément solutions mais que wordle accepte. + +Wordle est un puzzle du New York Times disponible [ici](https://www.nytimes.com/games/wordle/index.html). + diff --git a/grep/american-english b/grep/american-english new file mode 100644 index 0000000..0180761 --- /dev/null +++ b/grep/american-english @@ -0,0 +1,102401 @@ +A +A's +AMD +AMD's +AOL +AOL's +AWS +AWS's +Aachen +Aachen's +Aaliyah +Aaliyah's +Aaron +Aaron's +Abbas +Abbas's +Abbasid +Abbasid's +Abbott +Abbott's +Abby +Abby's +Abdul +Abdul's +Abe +Abe's +Abel +Abel's +Abelard +Abelard's +Abelson +Abelson's +Aberdeen +Aberdeen's +Abernathy +Abernathy's +Abidjan +Abidjan's +Abigail +Abigail's +Abilene +Abilene's +Abner +Abner's +Abraham +Abraham's +Abram +Abram's +Abrams +Abrams's +Absalom +Absalom's +Abuja +Abuja's +Abyssinia +Abyssinia's +Abyssinian +Abyssinian's +Ac +Ac's +Acadia +Acadia's +Acapulco +Acapulco's +Accenture +Accenture's 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