Publication

Invariant generation for P-solvable loops with assignments

Laura Ildiko Kovacs
2008
Conference Papers

Abstract

We discuss interesting properties of a general technique for inferring polynomial invariants for a subfamily of imperative loops, called the P-solvable loops, with assignments only. The approach combines algorithmic combinatorics, polynomial algebra and computational logic, and it is implemented in a new software package called Aligator. We present a collection of examples illustrating the power of the framework.

Official source

https://infoscience.epfl.ch/entities/publication/6b9ea24b-9bea-4aad-be32-42286d4050ae

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Laura Ildiko Kovacs
2008
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/6b9ea24b-9bea-4aad-be32-42286d4050ae

About this result

Related concepts (24)

Polynomial ring

In mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field. Often, the term "polynomial ring" refers implicitly to the special case of a polynomial ring in one indeterminate over a field. The importance of such polynomial rings relies on the high number of properties that they have in common with the ring of the integers.

Imperative programming

In computer science, imperative programming is a programming paradigm of software that uses statements that change a program's state. In much the same way that the imperative mood in natural languages expresses commands, an imperative program consists of commands for the computer to perform. Imperative programming focuses on describing how a program operates step by step, rather than on high-level descriptions of its expected results.

For loop

In computer science a for-loop or for loop is a control flow statement for specifying iteration. Specifically, a for loop functions by running a section of code repeatedly until a certain condition has been satisfied. For-loops have two parts: a header and a body. The header defines the iteration and the body is the code that is executed once per iteration. The header often declares an explicit loop counter or loop variable. This allows the body to know which iteration is being executed.

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