Publication

On Decision Procedures for Algebraic Data Types with Abstractions

2009
Reports

Abstract

We describe a parameterized decision procedure that extends the decision procedure for functional recursive algebraic data types (trees) with the ability to specify and reason about abstractions of data structures. The abstract values are specified using recursive abstraction functions that map trees into other data types that have decidable theories. Our result yields a decidable logic which can be used to prove that implementations of functional data structures satisfy recursively specified invariants and conform to interfaces given in terms of sets, multisets, or lists, or to increase the automation in proof assistants.

Official source

https://infoscience.epfl.ch/entities/publication/b192a692-4f1d-44f9-bfb4-94ef855b91d7

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2009
Reports

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/b192a692-4f1d-44f9-bfb4-94ef855b91d7

About this result

Related concepts (32)

Data type

In computer science and computer programming, a data type (or simply type) is a collection or grouping of data values, usually specified by a set of possible values, a set of allowed operations on these values, and/or a representation of these values as machine types. A data type specification in a program constrains the possible values that an expression, such as a variable or a function call, might take. On literal data, it tells the compiler or interpreter how the programmer intends to use the data.

Algebraic data type

In computer programming, especially functional programming and type theory, an algebraic data type (ADT) is a kind of composite type, i.e., a type formed by combining other types. Two common classes of algebraic types are product types (i.e., tuples and records) and sum types (i.e., tagged or disjoint unions, coproduct types or variant types). The values of a product type typically contain several values, called fields. All values of that type have the same combination of field types.

Recursive data type

In computer programming languages, a recursive data type (also known as a recursively-defined, inductively-defined or inductive data type) is a data type for values that may contain other values of the same type. Data of recursive types are usually viewed as directed graphs. An important application of recursion in computer science is in defining dynamic data structures such as Lists and Trees. Recursive data structures can dynamically grow to an arbitrarily large size in response to runtime requirements; in contrast, a static array's size requirements must be set at compile time.

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