Logique linéaire et paradigmes logiques du calcul
Course 21 offered within MPRI.
A brief
discription of this course is available in French.
Instructors
Instructors:
Michele Pagani,
Delia Kesner,
Beniamino Accattoli,
and
Dale Miller.
Venue
Lectures will be on Fridays from 16h15 to 19h15.
Miller will lecture on the following dates.
The lecture should be room 1011 (and not 2035) in bâtiment
S. Germain.
Miller will lecture in English.
Lecture Notes
The lecture notes for most of the first four lectures are collected in
the draft monograph ``Logic programming and its proof theory''.
Parts of this book will be made available as the lectures proceed.
The current available sections are available as
Version 4.
 26 Jan 2018, Lecture 1: Chapters 14 of the lecture notes.
 2 Feb 2018, Lecture 2: Chapter 5 of the lecture notes.
 9 Feb 2018, Lecture 3: Chapter 6 will be discussed only
briefly. The focus will be on Chapter 7.
 16 Feb 2018, Lecture 4: Finish Chapters 7 and 8.
 9 Mar 2018, Final exam
References and Links
Below are some documents available via the web that may be of use
in this class.
 Linear Logic,
by Roberto Di Cosmo and Dale Miller, The Stanford Encyclopedia of
Philosophy (Winter 2016 Edition), Edward N. Zalta (ed.).
 Logic for
Computer Science: Foundations of Automatic Theorem Proving,
by Jean Gallier, Wiley, pp. 511 (1986). This book is now out of print
but available for free download.

Proofs and Types by JeanYves Girard, Paul Taylor, and
Yves Lafont. Cambridge University Press. This book is now available
from a number of sources for free download. Try the link above to
find locations for downloading.
Also
available here.
 Proof
Theory as an Alternative to Model Theory by Dale
Miller. Argues that the theory of proofs should also be
considered a foundations for the design and justification of logic
programming.

Logic, Higherorder, by Dale Miller.
A short article for the
Encyclopedia of Artificial Intelligence: Second Edition,
edited by S. Shapiro, 1992.
(DVI,
PDF).

Programming
with HigherOrder Logic by Dale Miller and
Gopalan Nadathur,
published by Cambridge University Press in June 2012 (available
via Amazon).
This book covers the design and applications of
the λProlog programming language.