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developed, as opposed to after the fact. | developed, as opposed to after the fact. | ||
- | In this course we will learn how to use formal verification tools and explain the theory and the practice behind building them. | + | Companies, research labs and research groups have developed |
+ | proofs of correctness of operating system kernels, brake | ||
+ | system for a metro line in Paris, compilers, databases, data | ||
+ | structures, smartcard wallets, communication protocols, and | ||
+ | distributed systems. | ||
+ | |||
+ | In this course we will learn how to use formal verification tools and explain the theory and the practice behind them. | ||
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* Importance of Reliable Systems. Methodology of Formal Verification. Soundness and Completeness in Modeling and Tools. Successful Tools and Flagship Case Studies | * Importance of Reliable Systems. Methodology of Formal Verification. Soundness and Completeness in Modeling and Tools. Successful Tools and Flagship Case Studies | ||
- | * Review of Sets, Relations, Computability, Propositional and First-Order Logic Syntax, Semantics, Sequent Calculus. | + | * Review of [[sav17:ta1.pdf|Sets, Relations, Computability, Propositional and First-Order Logic Syntax, Semantics]], Sequent Calculus. |
* Completeness and Semi-Decidability for First-Order Logic. Inductive Definitions and Proof Trees. Higher-Order Logic and LCF Approach. | * Completeness and Semi-Decidability for First-Order Logic. Inductive Definitions and Proof Trees. Higher-Order Logic and LCF Approach. | ||
* State Machines. Transition Formulas. Traces. Strongest Postconditions and Weakest Preconditions. | * State Machines. Transition Formulas. Traces. Strongest Postconditions and Weakest Preconditions. | ||
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* http://logitext.mit.edu/tutorial | * http://logitext.mit.edu/tutorial | ||
- | ==== Additional Introductions and Background ==== | + | ===== Background ===== |
* Kenneth H. Rosen. Discrete Mathematics and Its Applications. E.g. 8th Edition. | * Kenneth H. Rosen. Discrete Mathematics and Its Applications. E.g. 8th Edition. | ||
* Formally Verified Software in the Real World. Communications of the ACM, October 2018. https://cacm.acm.org/magazines/2018/10/231372-formally-verified-software-in-the-real-world/fulltext | * Formally Verified Software in the Real World. Communications of the ACM, October 2018. https://cacm.acm.org/magazines/2018/10/231372-formally-verified-software-in-the-real-world/fulltext | ||