Abstract: An efficient, logical and expressive type system is provided for flexibly defining types of a declarative programming language so that efficient and structurally compact data intensive applications can be generated. The type system supports the combination of refinement types and type membership expressions, as well as a top type that encompasses all valid values as members. With the type system, types can be expressed as intersections and/or unions of other types. Thus, types can be efficiently represented for a full range of types of data as may be found in real world data stores.

Abstract: An efficient, logical and expressive type system supports the combination of refinement types and type membership expressions, as well as a top type that encompasses all valid values as members. A bidirectional type checking algorithm is provided for the type system including synthesis and checking steps to statically verify types of code based on the type system.

Abstract: An efficient, logical and expressive type system supports the combination of refinement types and type membership expressions, as well as a top type that encompasses all valid values as members. Various embodiments verify the validity of subtyping relationships by translating to first-order logic, and invoking a general-purpose theorem prover with the first-order logic as input. In contrast to treating formulas as types, types are translated into formulas of standard first-order logic. Moreover, to represent data structures of the programming language as first-order logic, universal and existential quantifiers of first-order logic, and function symbols in terms, are exploited. Data intensive applications can be generated, verified, and deployed with greater speed and scale.

Abstract: An execution environment is created or extended to include support for coroutines to facilitate reactive programming. Utilizing functionality provided by an execution environment, such as a virtual machine, additional operations are derived to enable creation, invocation, and suspension of coroutines.

Abstract: A set of syntactic extensions that are compiled with a type-directed translation method to facilitate lifting member access on base types to a newly constructed type. The extensions are processed with a type system that facilitates seamless data access to relational and semi-structured data in an object oriented host language.

Abstract: Systems and methods facilitate type inference in a computer-programming environment. Type inference can be applied to generic method or function invocation in object-oriented languages to determine a type argument list left implicit by a programmer. One or more type arguments can be identified as a parameter type to which all other types in a set of associated parameter types can be converted.

Abstract: A type system that facilitates seamless integration of data access to relational and semi-structured data in an object oriented host language. A data access component includes the type system and corresponding set of syntax constructions that facilitates coercive subtyping and restricts covariance to identity conversions.

Abstract: An efficient, logical and expressive type system supports the combination of refinement types and type membership expressions, as well as a top type that encompasses all valid values as members. Various embodiments verify the validity of subtyping relationships by translating to first-order logic, and invoking a general-purpose theorem prover with the first-order logic as input. In contrast to treating formulas as types, types are translated into formulas of standard first-order logic. Moreover, to represent data structures of the programming language as first-order logic, universal and existential quantifiers of first-order logic, and function symbols in terms, are exploited. Data intensive applications can be generated, verified, and deployed with greater speed and scale.

Abstract: An efficient, logical and expressive type system is provided for flexibly defining types of a declarative programming language so that efficient and structurally compact data intensive applications can be generated. The type system supports the combination of refinement types and type membership expressions, as well as a top type that encompasses all valid values as members. With the type system, types can be expressed as intersections and/or unions of other types. Thus, types can be efficiently represented for a full range of types of data as may be found in real world data stores.

Abstract: An efficient, logical and expressive type system supports the combination of refinement types and type membership expressions, as well as a top type that encompasses all valid values as members. A bidirectional type checking algorithm is provided for the type system including synthesis and checking steps to statically verify types of code based on the type system.

Abstract: Systems and methods facilitate type inference in a computer-programming environment. Type inference can be applied to generic method or function invocation in object-oriented languages to determine a type argument list left implicit by a programmer. One or more type arguments can be identified as a parameter type to which all other types in a set of associated parameter types can be converted.