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 **Doctoral course by Val Tannen**
+Lecture notes 1 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln1.pdf|(pdf)]]
+Homework 1 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/hw1.pdf|(pdf)]]
+Lecture notes 2 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln2.pdf|(pdf)]]
+Lecture notes 3 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln3.pdf|(pdf)]]
+Lecture notes 4 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln4.pdf|(pdf)]]
+Homework 2 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/hw2.pdf|(pdf)]]
+Lecture notes 5 (revised) [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln5rev.pdf|(pdf)]]
+Lecture notes 6 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln6.pdf|(pdf)]]
+//Course Materials//
+Old lecture notes on computability [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/compNotes.pdf|(pdf)]]
+"On the Unusual Effectiveness of Logic in Computer Science" Halpern, Harper, Immerman, Kolaitis, Vardi, and Vianu" [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/UnusualEffectiveness.pdf|(pdf)]]
 //Syllabus//
-  -Introduction
-    -Truth, proof, and computation: some basic results about first-order logic
-    -A bit of the story of how Mathematical Logic (and Electronic Technology) gave birth to Computer Science.
-Part I: Probability of Logic
+  *Introduction
+    *Truth, proof, and computation: some basic results about first-order logic
+    *A bit of the story of how Mathematical Logic (and Electronic Technology) gave birth to Computer Science.
+  *Part I: Probability of Logic
+    *Random graphs and random structures
+    *0-1 laws
+    *Queries on probabilistic databases
+  *Part II: Logic of Probability
+    *Pearl-Paz logics for reasoning about probabilistic (in)dependence
+    *Reasoning about independence in Bayesian and Markov networks; the Hammersley-Clifford theorem
+    *Reasoning about independence in relational graphical models (PRMs and RMNs)
+//Some useful books//
+I will rely on basic results about computability and complexity that
+are (usually) covered in a Computer Science undergraduate curriculum.
+If you need to freshen up on these topics, I can recommend:
+  *"Introduction to the Theory of Computation", Sipser, PWS 1997.
+  *"Introduction to Automata Theory, Languages, and Computability", Hopcroft, Motwani, and Ullman, 2nd edition, Addison-Wesley 2001.
+  *"Computational Complexity", Papadimitriou, Addison-Wesley 1994.
+  *"Computational Complexity: A Modern Approach", Arora and Barak, Cambridge University Press 2009.
+  *I have also made available my own notes on computability (see above).
+There many textbooks on logic but let me recommend my favorites:
+  *"Logic for Computer Science", J. Gallier, (Wiley 1986), out of print but available [[http://www.cis.upenn.edu/~jean/gbooks/logic.html|here]] with the latest revisions.
+  *"A mathematical introduction to logic", H. B. Enderton, Harcourt/Academic Press, 1972 and 2000.
+  *"Introduction to mathematical logic", E. Mendelson, various publishers, 1964, 1979, 1987, and 1997.
+  *"Computability and logic", G. Boolos and R. Jeffrey, Cambridge Univ.~Press, 1974 and 1980.
+The complete classification of the prefix fragments of FOL from the point of view of the decidability of satisfiability is in:
+  *"The Classical Decision Problem", Boerger, Graedel, and Gurevich, Springer 1997.
+The story of how mathematical logic gave birth to computer science is told best in:
+  *"Engines of Logic: Mathematicians and the Origins of the Computer", Davis, 2nd edition, Norton 2001.
-Random graphs and random structures
+There are many, many textbooks that offer an introduction to probabilities I prefer those that do a good job on discrete probability spaces. Some examples:
--1 laws
+  *"Probability and Random Processes", Grimmett, Stirzaker, Oxford U. Press 2001.
-Queries on probabilistic databases
+  *"Probability: Theory and Examples", Durrett, Thomson (Brooks/Cole) 2005.
+  *There is also a brief introduction to probability in chapter 2 of Koller-Friedman (mentioned below).
-Part II: Logic of Probability
+For 0-1 laws, I will consult
+  *"Elements of Finite Model Theory", Libkin, Springer 2004.
+  *"The Strange Logic of Random Graphs", Spencer, Springer 2001.
-Pearl-Paz logics for reasoning about probabilistic (in)dependence
+For the logic of independence in Bayesian and Markov networks I will follow selected sections from:
-Reasoning about independence in Bayesian and Markov networks; the Hammersley-Clifford theorem
+  *"Probabilistic Graphical Models", Koller, Friedman, MIT Press 2009.
-Reasoning about independence in relational graphical models (PRMs and RMNs)
-My lecture notes on Computability