Lambda Calculus and Type Safety: An Overview

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Covers the simply typed lambda calculus, focusing on its syntax, semantics, and type system properties such as progress and preservation.

Covers the semantics of programming languages, focusing on the Add language and the role of rewriting rules and CK machines in understanding meaning.

Covers types in lambda calculus, including defining types, specifying rules, and proving soundness.

Delves into type checking, reconstruction, equations, unification, Hindley/Milner system, polymorphism, and principal types.

Explores maps, type operators, equivalence, first-class types, System Fw, Coq, and the challenges of type checking in programming languages.

Introduces terms, abstractions, applications, and values in the lambda calculus.

Explores Church numerals, Booleans, pairs, recursion, and behavioral equivalence in Lambda Calculus.

Covers Hoare Logic, its foundations, applications, and significance in program verification.

Introduces records, variants, evaluation rules, typing rules, aliasing challenges, and benefits in programming languages.

Introduces the fundamentals of variables and types in C programming, covering declaration, initialization, and the differences from Java.