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Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

This paper introduces several techniques that improve the scalability of the deductive verification of data-level programs working on arrays and matrices. First of all, we introduce a technique to rewrite expressions with (nested)…

Software Engineering · Computer Science 2026-05-14 Lars B. van den Haak , Anton Wijs , Marieke Huisman

We present a novel and well automatable approach to formal verification of C programs with underspecified semantics, i.e., a language semantics that leaves open the order of certain evaluations. First, we reduce this problem to…

Programming Languages · Computer Science 2022-08-10 Eduard Kamburjan , Nathan Wasser

This paper is a tutorial introducing the underlying technology and the use of the tool Liquid Haskell, a type-checker for the functional language Haskell that can help programmers to verify non-trivial properties of their programs with a…

Programming Languages · Computer Science 2017-01-13 Ricardo Peña

Stipula is a domain-specific programming language designed to model legal contracts with enforceable properties, especially those involving asset transfers and obligations. This paper presents a methodology to formally verify the…

Software Engineering · Computer Science 2025-09-29 Reiner Hähnle , Cosimo Laneve , Adele Veschetti

Dafny is a verification-aware programming language that comes with a compiler and static program verifier. However, neither the compiler nor the verifier is proved correct; in fact, soundness bugs have been found in both tools. This paper…

Programming Languages · Computer Science 2025-12-08 Daniel Nezamabadi , Magnus O. Myreen , Yong Kiam Tan

We advocate a declarative approach to proving properties of logic programs. Total correctness can be separated into correctness, completeness and clean termination; the latter includes non-floundering. Only clean termination depends on the…

Logic in Computer Science · Computer Science 2011-10-25 W. Drabent , M. Milkowska

Dependent types help programmers write highly reliable code. However, this reliability comes at a cost: it can be challenging to write new prototypes in (or migrate old code to) dependently-typed programming languages. Gradual typing makes…

Programming Languages · Computer Science 2019-08-23 Joseph Eremondi , Éric Tanter , Ronald Garcia

In this paper, we present our ongoing work and initial results on the formal specification and verification of MiniMaple (a substantial subset of Maple with slight extensions) programs. The main goal of our work is to find behavioral errors…

Mathematical Software · Computer Science 2012-07-11 Muhammad Taimoor Khan , Wolfgang Schreiner

Steppers, which display all the reduction steps of a given program, are a novice-friendly tool for understanding program behavior. Unfortunately, steppers are not as popular as they ought to be; indeed, the tool is only available in the…

Programming Languages · Computer Science 2019-06-28 Tsukino Furukawa , Youyou Cong , Kenichi Asai

Computer Algebra systems are widely spread because of some of their remarkable features such as their ease of use and performance. Nonetheless, this focus on performance sometimes leads to unwanted consequences: algorithms and computations…

Logic in Computer Science · Computer Science 2014-01-27 Jesús Aransay , Jose Divasón

Statistical methods have been widely misused and misinterpreted in various scientific fields, raising significant concerns about the integrity of scientific research. To mitigate this problem, we propose a tool-assisted method for formally…

Software Engineering · Computer Science 2025-06-05 Yusuke Kawamoto , Kentaro Kobayashi , Kohei Suenaga

Common programming tools, like compilers, debuggers, and IDEs, crucially rely on the ability to analyse program code to reason about its behaviour and properties. There has been a great deal of work on verifying compilers and static…

Programming Languages · Computer Science 2019-07-15 Jan Stolarek , James Cheney

With the progress in deductive program verification research, new tools and techniques have become available to support design-by-contract reasoning about non-trivial programs written in widely-used programming languages. However, deductive…

Programming Languages · Computer Science 2021-07-14 Marieke Huisman , Raúl E. Monti

Can non-programmers annotate natural language utterances with complex programs that represent their meaning? We introduce APEL, a framework in which non-programmers select among candidate programs generated by a seed semantic parser (e.g.,…

Computation and Language · Computer Science 2023-10-24 Ruiqi Zhong , Charlie Snell , Dan Klein , Jason Eisner

These notes present some extensions of a formal method introduced in an earlier paper. The formal method is designed as a tool for program verification of numerical computation and forms the basis of the software package VPC. Included in…

Logic in Computer Science · Computer Science 2014-11-21 Garry Pantelis

Testing has become an indispensable activity of software development, yet writing good and relevant tests remains a quite challenging task. One well-known problem is that it often is impossible or unrealistic to test for every outcome, as…

Programming Languages · Computer Science 2017-08-18 Dimitri Racordon , Didier Buchs

Software testing is normally used to check the validity of a program. Test oracle performs an important role in software testing. The focus in this research is to perform class level test by introducing a testing framework. A technique is…

Software Engineering · Computer Science 2014-08-27 Munib Ahmad , Fuad Bajaber , M. Rizwan Jameel Qureshi

The goal of this paper is to help mainstream programmers routinely use formal verification on their smart contracts by 1) proposing a new YAML-format for writing general-purpose formal specifications, 2) demonstrating how a formal…

Programming Languages · Computer Science 2019-12-09 Suhabe Bugrara

In a recent paper, Belle and Levesque proposed a framework for a type of program called belief programs, a probabilistic extension of GOLOG programs where every action and sensing result could be noisy and every test condition refers to the…

Artificial Intelligence · Computer Science 2022-05-04 Daxin Liu , Gerhard Lakemeyer