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Type Systems (1997) [168 citations — 1 self]

Abstract:

type: A data type whose nature is kept hidden, in such a way that only a predetermined collection of operations can operate on it. Contravariant: A type that varies in the inverse direction from one of its parts with respect to subtyping. The main example is the contravariance of function types in their domain. For example, assume A BC. Thus XC varies in the inverse direction of X. Covariant: A type that varies in the same direction as one of its parts with respect to subtyping. For example, assume A<:B and vary X from A to B in DX; we obtain DA <: DB. Thus DX varies in the same direction as X. Derivation: A tree of judgments obtained by applying the rules of a type system. Dynamic checking. A collection of run time tests aimed at detecting and preventing forbidden errors. Dynamically checked language: A language where good behavior is enforced during execution. Explicitly typed language: A typed language where types are part of t...

Citations

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719 On understanding types, data abstraction, and polymorphism – Cardelli, Wegner - 1985
415 A syntactic approach to type soundness – Wright, Felleisen - 1994
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234 Semantics of Programming Languages: Structures and Techniques. Foundations of Computing – Gunter - 1992
191 Type inclusion constraints and type inference – Aiken, Wimmers - 1993
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133 Type systems for programming languages – Mitchell - 1990
103 Type inference for polymorphic references – Tofte - 1990
100 Bounded quantification is undecidable – Pierce - 1994
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68 Basic polymorphic typechecking – Cardelli - 1987
64 Coercion and Type Inference – Mitchell - 1984
56 Coherence of subsumption, minimum typing and the type checking – Curien, Ghelli - 1992
49 Efficient inference of object types – Palsberg - 1995
40 editors. Theoretical aspects of object-oriented programming – Gunter, Mitchell - 1994
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3 to programming languages, rich type systems were pioneered in the period between the development of Algol and the establishment of structured programming – Closer