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Program refinement involves correctness-preserving transformations from formal high-level specification statements into executable programs. Traditional verification tool support for program refinement is highly interactive and lacks…

Software Engineering · Computer Science 2024-06-28 Yufan Cai , Zhe Hou , Xiaokun Luan , David Miguel Sanan Baena , Yun Lin , Jun Sun , Jin Song Dong

We present an approach to program reasoning which inserts between a program and its verification conditions an additional layer, the denotation of the program expressed in a declarative form. The program is first translated into its…

Logic in Computer Science · Computer Science 2012-02-23 Wolfgang Schreiner

Various software efforts embrace the idea that object oriented programming enables a convenient implementation of the chain rule, facilitating so-called automatic differentiation via backpropagation. Such frameworks have no mechanism for…

Machine Learning · Computer Science 2023-05-09 Daniel Johnson , Trevor Maxfield , Yongxu Jin , Ronald Fedkiw

We want to obtain derivatives in discontinuous program code, where default Algorithmic Differentiation may not perform well. Specifically, we consider discontinuities induced by control flow statements, where meaningful derivatives should…

Programming Languages · Computer Science 2023-05-12 Sebastian Christodoulou , Uwe Naumann

Program specialisation aims at improving the overall performance of programs by performing source to source transformations. A common approach within functional and logic programming, known respectively as partial evaluation and partial…

Programming Languages · Computer Science 2007-05-23 Michael Leuschel , Maurice Bruynooghe

Refactoring is modifying a program without changing its external behavior. In this paper, we make the concept of external behavior precise for a simple answer set programming language. Then we describe a proof assistant for the task of…

Logic in Computer Science · Computer Science 2023-05-30 Jorge Fandinno , Zachary Hansen , Yuliya Lierler , Vladimir Lifschitz , Nathan Temple

Algorithm extraction aims to synthesize executable programs directly from models trained on algorithmic tasks, enabling de novo algorithm discovery without relying on human-written code. However, applying this paradigm to Transformer is…

Machine Learning · Computer Science 2026-03-20 Yifan Zhang , Wei Bi , Kechi Zhang , Dongming Jin , Jie Fu , Zhi Jin

Users of program analyses expect that results change predictably in response to changes in their programs, but many analyses fail to provide such robustness. This paper introduces a theoretical framework that provides a unified language to…

Programming Languages · Computer Science 2026-04-14 Zachary Kincaid , Shaowei Zhu

We use the technique of "classical realizability" to build new models of ZF + DC in which R is not well ordered. This gives new relative consistency results, probably not obtainable by forcing. This gives also a new method to get programs…

Logic in Computer Science · Computer Science 2018-03-20 Jean-Louis Krivine

Program transformation is an appealing technique which allows to improve run-time efficiency, space-consumption and more generally to optimize a given program. Essentially it consists of a sequence of syntactic program manipulations which…

Programming Languages · Computer Science 2008-07-28 Maurizio Gabbrielli , Maria Chiara Meo , Paolo Tacchella

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

Logic in Computer Science · Computer Science 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

The nature of software re-engineering is to improve or transform existing software so it can be understood, controlled and reused as new software. Needs, the necessity of re-engineering software has greatly increased. The system software…

Software Engineering · Computer Science 2011-12-20 Phuc V. Nguyen

We target the problem of provably computing the equivalence between two complex expression trees. To this end, we formalize the problem of equivalence between two such programs as finding a set of semantics-preserving rewrite rules from one…

Programming Languages · Computer Science 2021-06-10 Steve Kommrusch , Théo Barollet , Louis-Noël Pouchet

To remain useful for their users, software systems need to continuously enhance and extend their functionality. Nevertheless, in many object-oriented applications, features are not represented explicitly. The lack of modularization is known…

Software Engineering · Computer Science 2014-07-07 T. Pandiyavathi

Precondition inference is a non-trivial problem with important applications in program analysis and verification. We present a novel iterative method for automatically deriving preconditions for the safety and unsafety of programs. Each…

Programming Languages · Computer Science 2023-06-22 Bishoksan Kafle , Graeme Gange , Peter J. Stuckey , Peter Schachte , Harald Sondergaard

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

An approximate program transformation is a transformation that can change the semantics of a program within a specified empirical error bound. Such transformations have wide applications: they can decrease computation time, power…

Programming Languages · Computer Science 2013-04-23 Edwin Westbrook , Swarat Chaudhuri

Refinement calculus provides a structured framework for the progressive and modular development of programs, ensuring their correctness throughout the refinement process. This paper introduces a refinement calculus tailored for quantum…

Logic in Computer Science · Computer Science 2023-11-27 Yuan Feng , Li Zhou , Yingte Xu

Code super-optimization is the task of transforming any given program to a more efficient version while preserving its input-output behaviour. In some sense, it is similar to the paraphrase problem from natural language processing where the…

Machine Learning · Computer Science 2017-06-29 Rudy Bunel , Alban Desmaison , M. Pawan Kumar , Philip H. S. Torr , Pushmeet Kohli

The refinement calculus for logic programs is a framework for deriving logic programs from specifications. It is based on a wide-spectrum language that can express both specifications and code, and a refinement relation that models the…

Logic in Computer Science · Computer Science 2007-05-23 Robert Colvin , Ian J. Hayes , Paul Strooper
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