Pearls of Computer-Supported Modeling and Reasoning - Lecture in l'Aquila
Following the call for lectures issued by University of l'Aquila after the 2009 earthquake, Jan-Georg Smaus gives the course Pearls of Computer-Supported Modeling and Reasoning in three weeks from March 15th to March 30th 2010.
The course is based on the lecture on Computer-Supported Modeling and Reasoning and covers about 25% of the material. The course is held within the Corso integrato di Metodi Formali e di Verifica.
It is strongly advised to be careful when printing out the pdf-files, since they are huge!
Lecture Notes for printout
Screen Notes for online study
Literature
Books and articles
- D. van Dalen: Logic and Structure. Springer-Verlag, 1980. An introductory textbook on logic
- Michael Huth and Mark Ryan: Logic in Computer Science. Modelling and Reasoning about Systems. Cambridge University Press, 2004. This book covers many of the topics of the lecture. It is interesting because it uses a style of doing natural deduction proofs that is different from the one we use in the lecture.
- Simon Thompson: Type Theory and Functional Programming. Addison-Wesley, 1991. Chapter 1 is an introduction to propositional and first-order logic. Chapter 2 is an introduction to the lambda-calculus.
- David Basin and Seán Matthews: Logical Frameworks. In Dov Gabbay and Franz Guenthner, editors, Handbook of Philosophical Logic, second edition. Reidel, 2002.
- N.G. de Bruijn: A Survey of the Project AUTOMATH. In Essays in Combinatory Logic, Lambda Calculus, and Formalism. Academic Press, 1980.
- Robert Harper, Furio Honsell, and Gordon D. Plotkin: A Framework for Defining Logics. Journal of the ACM, 40(1):143-184, 1993.
- Arnon Avron, Furio Honsell, Ian A. Mason, and Robert Pollack: Using Typed Lambda Calculus to Implement Formal Systems on a Machine. Journal of Automated Reasoning 9(3):309-354, 1992
- Henk Barendregt: Introduction to Generalized Type Systems. Journal of Functional Programming 1(2):125-154, 1991.
- Lawrence C. Paulson: Isabelle: A Generic Theorem Prover. Springer LNCS 828, 1994.
- Tobias Nipkow: Hoare Logics in Isabelle/HOL. In H. Schwichtenberg and R. Steinbrüggen, editors, Proceedings of Proof and System-Reliability, pages 341-367, Kluwer, 2002.
Manuals and Tutorials
- Proof General
- Isabelle (Cambridge) (München). You will find lots of documentation there, including the
- Sara Kalvala: A gentle introduction to Isabelle.
Projects
- Angelika Kimmig: Red-black Trees of slmnj. A Studienarbeit by a former student of this course.
- Larry Paulson: Overview of Isabelle Projects.
Related Lectures
- Larry Paulson: Logic and Proof. An introductory lecture on logic, mainly on syntax and semantics of propositional and first-order logic, and proof systems for those logics.
- Frank Pfenning: Automated Theorem Proving.