Introduction à la logique informatique - Partie 2 : calcul des prédicats

Introduction à la logique informatique - Partie 2 : calcul des prédicats

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Course
fr
French
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Source
  • From www.fun-mooc.fr
Conditions
  • Free Access
  • Free certificate
More info
  • Introductive Level
  • Starts on January 31, 2016
  • Ends on February 14, 2016

You can't access an archived course

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Course details

Syllabus

Semaine 1: introduction, syntaxe et F-algèbres

  1. introduction du cours
  2. syntaxe
  3. F-algèbres

Semaine 2: sémantique

  1. (F-P)-structures
  2. axiomes de l'égalité
  3. exemples de satisfaction

Semaine 3: Skolem et Herbrand

  1. forme prénexe
  2. skolémisation
  3. forme clausale
  4. théorème de Herbrand

Semaine 4: unification et résolution

  1. unification
  2. résolution

Semaine 5: calcul des séquents

  1. calcul des séquent LK1
  2. correction
  3. recherche de preuve
  4. complétude

Semaine 6: perspectives

  1. clauses de Horn
  2. programmation logique
  3. conclusion: ouvertures

Prerequisite

Ce cours s'adresse à un public large désireux de découvrir la logique informatique: professeurs de mathématiques, étudiants en licence, ingénieurs, etc.

Il est fortement recommandé d'avoir suivi la première partie du MOOC de logique informatique avant de suivre cette deuxième partie.

Dans son ensemble, ce cours ne suppose aucune connaissance spécifique préalable, mais s'adresse cependant à un public ayant une pratique du raisonnement mathématique. Il est souhaitable d'avoir le niveau L2 en mathématiques. Il n'y a aucun pré-requis en informatique.

Instructors

David Baelde
Maître de conférences à l'ENS Cachan et chercheur en preuve formelle et sécurité des protocoles au Laboratoire Spécification et Vérification.

Hubert Comon
Professeur à l'ENS Cachan et chercheur en logique et sécurité des protocoles au Laboratoire Spécification et Vérification.

Etienne Lozes
Maître de conférences à l'ENS Cachan et chercheur en logique des programmes et parallélisme au Laboratoire Spécification et Vérification.

Editor

The Université Paris-Saclay was designed in 2019 to develop the continuum of knowledge from fundamental to applied sciences at a level unprecedented in France, emphasising interdisciplinarity and openness to the world. It is the successor to the University of Paris-Sud-XI, founded on 1 January 1971, and its aim is to advance knowledge of the major issues facing society through research of the highest international standard. Université Paris-Saclay provides students with a forward-looking educational framework and content. Ongoing interaction between laboratories and socio-economic players enables the results of cutting-edge research to be transformed into innovations.

The nineteen founding institutions bring to Université Paris-Saclay the strengths for which they are renowned: a close link between education and research, laboratories and major research facilities of international standards, an international reputation for engineering and management courses, and a wide range of high-level courses.

This programme, funded by IDEX Paris-Saclay in addition to the resources provided by the partners, will support the creation of MOOCs and SPOCs for the University's students, as well as continuing education courses for the socio-economic world, with which there are already strong contacts.

Platform

France Université Numérique is the broadcaster of the online courses of French higher education institutions and their partners.

It operates several platforms of diffusion, of which the best known, FUN MOOC, is the first French-speaking academic platform worldwide. Thanks to many partner institutions, this platform offers a vast catalog of courses enriched daily with various themes and current events.

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