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Advanced Topics in Software VerificationModel-driven engineering and formal methodsModel-driven engineering (MDE) is an approach to software development that emphasizes the use of models as primary artifacts throughout the development lifecycle. Formal methods are mathematical techniques used to specify, develop, and verify software systems. MDE and formal methods complement each other, as forma..

Model Checking and Automated VerificationIntroduction to model checking techniquesModel checking is a formal verification technique used to check whether a system satisfies a given property by exhaustively exploring all possible states of the system. It involves constructing a finite-state model of the system and verifying properties of interest by systematically exploring the state space and ch..

Type Systems and Program CorrectnessBasics of type systems and their role in program correctnessA type system is a set of rules that assigns a type to each program construct, such as variables, expressions, and functions, and checks that these types are used consistently throughout the program. Type systems help prevent runtime errors by ensuring that only operations appropriate for a given type..

Hoare Logic and Program VerificationIntroduction to Hoare logicHoare logic is a formal system for reasoning about the correctness of computer programs. It uses assertions to describe the preconditions, postconditions, and invariants of program statements. Hoare triples, of the form {P} S {Q}, represent assertions about the behavior of programs, where P is the precondition, S is the program state..

Functional Programming and VerificationBasics of functional programming languagesFunctional programming is a programming paradigm that treats computation as the evaluation of mathematical functions and avoids changing state and mutable data. Languages like Haskell, ML, and Scala are examples of functional programming languages. They emphasize higher-order functions, recursion, and immutability.V..

Inductive Definitions and Structural InductionUnderstanding inductive definitionsAn inductive definition is a way of defining a set or a data type by specifying a base case and one or more constructors that generate new elements of the set from existing elements. In Coq, inductive definitions are used to define data structures such as lists, trees, and other recursively defined objects.Principle..