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We give a purely model-theoretic characterization of the semantics of logic programs with negation-as-failure allowed in clause bodies. In our semantics the meaning of a program is, as in the classical case, the unique minimum model in a…

Logic in Computer Science · Computer Science 2011-06-20 Panos Rondogiannis , William W. Wadge

We introduce Nominal Matching Logic (NML) as an extension of Matching Logic with names and binding following the Gabbay-Pitts nominal approach. Matching logic is the foundation of the $\mathbb{K}$ framework, used to specify programming…

Logic in Computer Science · Computer Science 2022-07-29 James Cheney , Maribel Fernández

Gradual verification, which supports explicitly partial specifications and verifies them with a combination of static and dynamic checks, makes verification more incremental and provides earlier feedback to developers. While an abstract,…

Programming Languages · Computer Science 2023-11-14 Conrad Zimmerman , Jenna DiVincenzo , Jonathan Aldrich

Scalable and automatic formal verification for concurrent systems is always demanding. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Fuyuan Zhang , Yongwang Zhao , David Sanan , Yang Liu , Alwen Tiu , Shang-Wei Lin , Jun Sun

Polymorphism in programming languages enables code reuse. Here, we show that polymorphism has broad applicability far beyond computations for technical computing: parallelism in distributed computing, presentation of visualizations of…

Programming Languages · Computer Science 2014-11-07 Jiahao Chen , Alan Edelman

Dynamically typed object-oriented languages enable programmers to write elegant, reusable and extensible programs. However, with the current methodology for program verification, the absence of static type information creates significant…

Programming Languages · Computer Science 2015-01-13 Björn Engelmann , Ernst-Rüdiger Olderog , Nils Erik Flick

We have designed a new logic programming language called LM (Linear Meld) for programming graph-based algorithms in a declarative fashion. Our language is based on linear logic, an expressive logical system where logical facts can be…

Programming Languages · Computer Science 2020-02-19 Flavio Cruz , Ricardo Rocha , Seth Copen Goldstein , Frank Pfenning

In this work we present work in progress on functionality duplication detection in logic programs. Eliminating duplicated functionality recently became prominent in context of refactoring. We describe a quantitative approach that allows to…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Wim Vanhoof

We explore an approach to verification of programs via program transformation applied to an interpreter of a programming language. A specialization technique known as Turchin's supercompilation is used to specialize some interpreters with…

Programming Languages · Computer Science 2017-08-31 Alexei P. Lisitsa , Andrei P. Nemytykh

In the language-theoretic approach to refinement verification, we check that the language of traces of an implementation all belong to the language of a specification. We consider the refinement verification problem for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-23 Pascal Baumann , Moses Ganardi , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Relying on the formulae-as-types paradigm for classical logic, we define a program logic for an imperative language with higher-order procedural variables and non-local jumps. Then, we show how to derive a sound program logic for this…

Logic in Computer Science · Computer Science 2015-03-19 Tristan Crolard , Emmanuel Polonowski

Concurrent separation logic with fractional permissions (CSLPerm) provides a promising reasoning system to verify most complex sequential and concurrent fine-grained programs. The logic with strong and weak separating conjunctions offers a…

Logic in Computer Science · Computer Science 2025-10-07 Quang Loc Le

In the paper the problem of verification of functional programs (FPs) over strings is considered, where specifications of properties of FPs are defined by other FPs, and a FP S1 meets a specification defined by another FP S2 iff a…

Logic in Computer Science · Computer Science 2016-04-15 Andrew M. Mironov

Verifying whether a procedure is observationally pure is useful in many software engineering scenarios. An observationally pure procedure always returns the same value for the same argument, and thus mimics a mathematical function. The…

Software Engineering · Computer Science 2019-02-15 Himanshu Arora , Raghavan Komondoor , G. Ramalingam

In this paper we investigate the applicability of standard model checking approaches to verifying properties in probabilistic programming. As the operational model for a standard probabilistic program is a potentially infinite parametric…

Programming Languages · Computer Science 2016-07-28 Nils Jansen , Christian Dehnert , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Lukas Westhofen

Applications like program synthesis sometimes require proving that a property holds for all of the infinitely many programs described by a grammar - i.e., an inductively defined set of programs. Current verification frameworks…

Programming Languages · Computer Science 2025-07-29 Jinwoo Kim , Shaan Nagy , Thomas Reps , Loris D'Antoni

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

Separation logic is a substructural logic which has proved to have numerous and fruitful applications to the verification of programs working on dynamic data structures. Recently, Barthe, Hsu and Liao have proposed a new way of giving…

Cryptography and Security · Computer Science 2024-05-21 Ugo Dal Lago , Davide Davoli , Bruce M. Kapron

Verified compilation of open modules (i.e., modules whose functionality depends on other modules) provides a foundation for end-to-end verification of modular programs ubiquitous in contemporary software. However, despite intensive…

Programming Languages · Computer Science 2023-11-21 Ling Zhang , Yuting Wang , Jinhua Wu , Jérémie Koenig , Zhong Shao