Part 1 Introduction: model programming languages; lambda notation; equations, reduction and semantics; types and type systems; notation and mathematical conventions; set-theoretic background; syntax and semantics; induction. Part 2 The language PCF: syntax of PCF; PCF programmes and their semantics; PCF reduction and symbolic interpreters; PCF programming examples, expressive power and limitations; variations and extensions of PCF. Part 3 Universal algebra and algebraic data types: preview of algebraic specification; algebras, signatures and terms; equations, soundness and completeness; homomorphisms and initiality; algebraic data types; rewrite systems. Part 4 Simply-typed lambda calculus: types; terms; proof systems; Henkin models, soundness and completeness. Part 5 Models of typed lambda calculus: domain-theoretic models and fixed points; fixed-point induction; computational adequacy and full abstraction; recursion-theoretic models; partial equivalence relations and recursion. Part 6 Imperative programmes: while programmes; operational semantics; denotational semantics; before-after assertions about while programmes; semantics of additional programme constructs. Part 7 Categories and recursive types: Cartesian closed categories; Kripke lambda models and functor categories; domain models of recursive types. Part 8 Logical relations: introduction to logical relations; logical relations over applicative structures; proof-theoretic results; partial surjections and specific models; representation independence; generalizations of logical relations. Part 9 Polymorphism and modularity: predicative polymorphic calculus; impredicative polymorphism; data abstraction and existential types; general products, sums and programme modules. Part 10 subtyping and related concepts: simply typed lambda calculus with subtyping; records, semantic models of subtyping; recursive types and a record model of objects; polymorphism with subtype constraints. Part 11 Type inference: introduction to type inference; type inference for lambda xxx with type variables; type inference with polymorphic declarations.
"Programming languages embody the pragmatics of designing software systems,and also the mathematical concepts which underlie them. Anyone who wantsto know how, for example, object-oriented programming rests upon a firmfoundation in logic should read this book. It guides one surefootedlythrough the rich variety of basic programming concepts developed over thepast forty years." Robin Milner, Professor of Computer Science, The ComputerLaboratory, Cambridge University "Programming languages need not be designed in an intellectual vacuum;John Mitchell's book provides an extensive analysis of the fundamental notionsunderlying programming constructs. A basic grasp of this material is essentialfor the understanding, comparative analysis, and design of programminglanguages." Luca Cardelli, Digital Equipment Corporation
John C. Mitchell is Professor in the Department of Computer Science at Stanford University.
"Programming languages embody the pragmatics of designing software systems,and also the mathematical concepts which underlie them. Anyone who wantsto know how, for example, object-oriented programming rests upon a firmfoundation in logic should read this book. It guides one surefootedlythrough the rich variety of basic programming concepts developed over thepast forty years." Robin Milner, Professor of Computer Science, The ComputerLaboratory, Cambridge University "Programming languages need not be designed in an intellectual vacuum;John Mitchell's book provides an extensive analysis of the fundamental notionsunderlying programming constructs. A basic grasp of this material is essentialfor the understanding, comparative analysis, and design of programminglanguages." Luca Cardelli, Digital Equipment Corporation
 |
Ask a Question About this Product More... |
|
