Simple Linear Loops: Algebraic Invariants and Applications

The automatic generation of loop invariants is a fundamental challenge in software verification. While this task is undecidable in general, it is decidable for certain restricted classes of programs. This work focuses on invariant generation for (branching-free) loops with a single linear update. Ou...

Full description

Bibliographic Details

Published in:	Proceedings of ACM on programming languages Vol. 9; no. POPL; pp. 745 - 771
Main Authors:	Ait El Manssour, Rida, Kenison, George, Shirmohammadi, Mahsa, Varonka, Anton
Format:	Journal Article
Language:	English
Published:	New York, NY, USA ACM 07.01.2025
Subjects:	Algebraic algorithms Computing methodologies Logic and verification Theory of computation Loop Invariant Zariski Closure Algebraic Reasoning Polynomial Space Algebraic Invariant Program Synthesis
ISSN:	2475-1421, 2475-1421
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!