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Few Topics are:
- Inductive definitions and proof by induction
- Untyped and simply-typed lambda calculus
- Variable binding
- Small step and big step semantics
- Progress and preservation theorems
- Products, sums, and list types
- Reference types and exceptions
- Subtyping. Subsumption and its understanding as inclusion or coercion
- Principles of operational semantics
- semantics: compositionality, adequacy, observational equivalence, full abstraction, and definability
