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We introduce a sound and complete equational theory capturing equivalence of discrete probabilistic programs, that is, programs extended with primitives for Bernoulli distributions and conditioning, to model distributions over finite sets…

Logic in Computer Science · Computer Science 2024-08-28 Robin Piedeleu , Mateo Torres-Ruiz , Alexandra Silva , Fabio Zanasi

The system PL permits the translation of abstract proofs of program correctness into programs in a variety of programming languages. A programming language satisfying certain axioms may be the target of such a translation. The system PL…

Software Engineering · Computer Science 2007-05-23 David A. Plaisted

Error invariants are assertions that over-approximate the reachable program states at a given position in an error trace while only capturing states that will still lead to failure if execution of the trace is continued from that position.…

Software Engineering · Computer Science 2016-08-31 Andreas Holzer , Daniel Schwartz-Narbonne , Mitra Tabaei Befrouei , Georg Weissenbacher , Thomas Wies

In this paper, we develop a game-theoretic account of concurrent separation logic. To every execution trace of the Code confronted to the Environment, we associate a specification game where Eve plays for the Code, and Adam for the…

Logic in Computer Science · Computer Science 2017-10-09 Paul-André Melliès , Léo Stefanesco

We explore asynchronous programming with algebraic effects. We complement their conventional synchronous treatment by showing how to naturally also accommodate asynchrony within them, namely, by decoupling the execution of operation calls…

Programming Languages · Computer Science 2020-11-17 Danel Ahman , Matija Pretnar

We propose an operationally-based deductive proof method for program equivalence. It is based on encoding the language semantics as logically constrained term rewriting systems (LCTRSs) and the two programs as terms. The main feature of our…

Logic in Computer Science · Computer Science 2020-01-28 Ştefan Ciobâcă , Dorel Lucanu , Andrei Sebastian Buruiană

Adversarial attacks have verified the existence of the vulnerability of neural networks. By adding small perturbations to a benign example, adversarial attacks successfully generate adversarial examples that lead misclassification of deep…

Machine Learning · Computer Science 2022-06-22 Hoki Kim , Jinseong Park , Jaewook Lee

Term rewriting systems have a simple syntax and semantics and facilitate proofs of correctness. However, they are not as popular in industry or academia as imperative languages. We define a term rewriting based abstract programming language…

Programming Languages · Computer Science 2020-07-08 David Plaisted , Lee Barnett

In David Schmidt's PhD work he explored the use of denotational semantics as a programming language. It was part of an effort to not only treat formal semantics as specifications but also as interpreters and input to compiler generators.…

Programming Languages · Computer Science 2013-09-23 Mads Rosendahl

Free categorical constructions characterise quantum computing as the combination of two copies of a reversible classical model, glued by the complementarity equations of classical structures. This recipe effectively constructs a…

Programming Languages · Computer Science 2025-11-25 Jacques Carette , Chris Heunen , Robin Kaarsgaard , Amr Sabry

Message-passing concurrency is a popular computation model that underlies several programming languages like, e.g., Erlang, Akka, and (to some extent) Go and Rust. In particular, we consider a message-passing concurrent language with…

Programming Languages · Computer Science 2022-10-07 Germán Vidal

Consensus is an often occurring problem in concurrent and distributed programming. We present a programming language with simple semantics and build-in support for consensus in the form of communicating transactions. We motivate the need…

Programming Languages · Computer Science 2013-05-08 Carlo Spaccasassi , Vasileios Koutavas

Programs with a continuous state space or that interact with physical processes often require notions of equivalence going beyond the standard binary setting in which equivalence either holds or does not hold. In this paper we explore the…

Logic in Computer Science · Computer Science 2024-02-14 Fredrik Dahlqvist , Renato Neves

Session-types specify communication protocols for communicating processes, and session-typed languages are often specified using substructural operational semantics given by multiset rewriting systems. We give an observed communication…

Programming Languages · Computer Science 2020-09-01 Ryan Kavanagh

We describe a new concrete approach to giving predictable error locations for sequential (flow-sensitive) effect systems. Prior implementations of sequential effect systems rely on either computing a bottom-up effect and comparing it to a…

Programming Languages · Computer Science 2023-08-01 Colin S. Gordon , Chaewon Yun

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

We prove a general congruence result for bisimilarity in higher-order languages, which generalises previous work to languages specified by a labelled transition system in which programs may occur as labels, and which may rely on operations…

Logic in Computer Science · Computer Science 2023-03-22 Tom Hirschowitz , Ambroise Lafont

Reversible computing is a new paradigm that has emerged recently and extends the traditional forwards-only computing mode with the ability to execute in backwards, so that computation can run in reverse as easily as in forward. Two…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Nataliya Gribovskaya , Irina Virbitskaite

A temporal logic is presented for reasoning about the correctness of timed concurrent constraint programs. The logic is based on modalities which allow one to specify what a process produces as a reaction to what its environment inputs.…

Logic in Computer Science · Computer Science 2007-05-23 F. S. de Boer , M. Gabbrielli , M. C. Meo

This thesis details a project to define a fully compositional theory of synchronous sequential circuits built from primitive components, motivated by applying techniques successfully used in programming languages to hardware. The first part…

Logic in Computer Science · Computer Science 2025-02-13 George Kaye