Foundations for programming languages
著者
書誌事項
Foundations for programming languages
（MIT Press series in the foundations of computing）
MIT Press, c1996
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Written for advanced undergraduate and beginning graduate students, Foundations for Programming Languages uses a series of typed lambda calculi to study the axiomatic, operational, and denotational semantics of sequential programming languages. Later chapters are devoted to progressively more sophisticated type systems. Compared to other texts on the subject, Foundations for Programming Languages is distinguished primarily by its inclusion of material on universal algebra and algebraic data types, imperative languages and Floyd-Hoare logic, and advanced chapters on polymorphism and modules, subtyping and object-oriented concepts, and type inference. The book is mathematically oriented but includes discussion, motivation, and examples that make the material accessible to students specializing in software systems, theoretical computer science, or mathematical logic. Foundations for Programming Languages is suitable as a reference for professionals concerned with programming languages, software validation or verification, and programming, including those working with software modules or object-oriented programming.Foundations of Computing series
目次
- 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.
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