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In previous work, we presented a symbolic execution method which starts with a concrete model of the program but progressively abstracts away details only when these are known to be irrelevant using interpolation. In this paper, we extend…

Programming Languages · Computer Science 2011-03-11 Joxan Jaffar , Jorge A. Navas , Andrew E. Santosa

Loop invariants play a central role in the verification of imperative programs. However, finding these invariants is often a difficult and time-consuming task for the programmer. We have previously shown how program transformation can be…

Logic in Computer Science · Computer Science 2017-08-25 G. W. Hamilton

Several techniques for analysis and transformations are used in compilers. Among them, the peeling of loops for hoisting quasi-invariants can be used to optimize generated code, or simply ease developers' lives. In this paper, we introduce…

Programming Languages · Computer Science 2017-04-20 Jean-Yves Moyen , Thomas Rubiano , Thomas Seiller

Invariants are the predominant approach to verify the correctness of loops. As an alternative, loop contracts, which make explicit the premise and conclusion of the underlying induction proof, can sometimes capture correctness conditions…

Logic in Computer Science · Computer Science 2021-10-13 Gidon Ernst

Testing processes usually aim at high coverage, but loops severely limit coverage ambitions since the number of iterations is generally not predictable. Most testing teams address this issue by adopting the extreme solution of limiting…

Software Engineering · Computer Science 2025-02-24 Li Huang , Bertrand Meyer , Reto Weber

We present a compact encoder for image categorization that emphasizes computation economy through content-conditioned multi-pass processing. The model employs a single lightweight core block that can be re-applied a small number of times,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 YiZhou Li

We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

Multi-class classification is mandatory for real world problems and one of promising techniques for multi-class classification is Error Correcting Output Code. We propose a method for constructing the Error Correcting Output Code to obtain…

Machine Learning · Computer Science 2013-12-30 Patoomsiri Songsiri , Thimaporn Phetkaew , Ryutaro Ichise , Boonserm Kijsirikul

This paper presents a new method for automatically generating numerical invariants for imperative programs. Given a program, our procedure computes a binary input/output relation on program states which over-approximates the behaviour of…

Programming Languages · Computer Science 2015-02-03 Azadeh Farzan , Zachary Kincaid

Iterative compilation is a widely adopted technique to optimize programs for different constraints such as performance, code size and power consumption in rapidly evolving hardware and software environments. However, in case of statically…

Programming Languages · Computer Science 2014-07-16 Lianjie Luo , Yang Chen , Chengyong Wu , Shun Long , Grigori Fursin

Verified compilers aim to guarantee that compilation preserves the observable behavior of source programs. While small-step semantics are widely used in such compilers, they are not always the most convenient framework for structural…

Programming Languages · Computer Science 2026-02-24 David Knothe , Oliver Bringmann

We revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets.…

Optimization and Control · Mathematics 2022-08-10 Tzanis Anevlavis , Zexiang Liu , Necmiye Ozay , Paulo Tabuada

We present abstract acceleration techniques for computing loop invariants for numerical programs with linear assignments and conditionals. Whereas abstract interpretation techniques typically over-approximate the set of reachable states…

Programming Languages · Computer Science 2014-01-07 Bertrand Jeannet , Peter Schrammel , Sriram Sankaranarayanan

Formal program verification is a longstanding goal in the field. We present the first quantitative comparison of the two primary compiler verification approaches, credible compilation/translation validation and full verification. Working…

Programming Languages · Computer Science 2026-05-12 Martin Rinard

Dynamic circuits use real-time outcomes of mid-circuit measurements, processed by a classical controller, to adapt subsequent operations during circuit execution. This additional flexibility over static circuits comes at a price.…

Quantum Physics · Physics 2026-05-28 Innocenzo Fulginiti , Yanbin Chen , Christian B. Mendl , Helmut Seidl

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…

Computational Complexity · Computer Science 2024-11-14 Rida Ait El Manssour , George Kenison , Mahsa Shirmohammadi , Anton Varonka

This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend transformation methods based on integer TRSs to handle…

Logic in Computer Science · Computer Science 2025-09-01 Carsten Fuhs , Cynthia Kop , Naoki Nishida

An efficient entailment proof system is essential to compositional verification using separation logic. Unfortunately, existing decision procedures are either inexpressive or inefficient. For example, Smallfoot is an efficient procedure but…

Logic in Computer Science · Computer Science 2022-10-04 Quang Loc Le , Xuan-Bach D. Le

Pragmas for loop transformations, such as unrolling, are implemented in most mainstream compilers. They are used by application programmers because of their ease of use compared to directly modifying the source code of the relevant loops.…

Programming Languages · Computer Science 2019-01-31 Michael Kruse , Hal Finkel

We present the first approach to prove non-termination of integer programs that is based on loop acceleration. If our technique cannot show non-termination of a loop, it tries to accelerate it instead in order to find paths to other…

Logic in Computer Science · Computer Science 2019-08-09 Florian Frohn , Jürgen Giesl
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