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This paper presents a language-independent proof system for reachability properties of programs written in non-deterministic (e.g., concurrent) languages, referred to as all-path reachability logic. It derives partial-correctness properties…

Programming Languages · Computer Science 2023-06-22 Andrei Stefanescu , Stefan Ciobaca , Radu Mereuta , Brandon Moore , Traian Florin Serbanuta , Grigore Rosu

We present a semantics based framework for analysing the quantitative behaviour of programs with regard to resource usage. We start from an operational semantics equipped with costs. The dioid structure of the set of costs allows for…

Logic in Computer Science · Computer Science 2010-06-29 David Cachera , Arnaud Jobin

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

In shared-memory concurrent programming, shared resources can be protected using synchronization mechanisms such as monitors or channels. The connection between these mechanisms and the resources they protect is, however, only given…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-07 Mischael Schill , Sebastian Nanz , Bertrand Meyer

A compositional Petri net-based semantics is given to a simple language allowing pointer manipulation and parallelism. The model is then applied to give a notion of validity to the judgements made by concurrent separation logic that…

Logic in Computer Science · Computer Science 2015-07-01 Jonathan Hayman , Glynn Winskel

This article revisits standard theorems from elementary number theory from a constructive, algorithmic, and proof-theoretic perspective, framed within the theory of computable functionals TCF. Key examples include B\'ezout's identity, the…

Logic · Mathematics 2026-05-25 Franziskus Wiesnet

We present an extension to the $\mathtt{mathlib}$ library of the Lean theorem prover formalizing the foundations of computability theory. We use primitive recursive functions and partial recursive functions as the main objects of study, and…

Logic in Computer Science · Computer Science 2019-07-19 Mario Carneiro

Multi-task indoor scene understanding is widely considered as an intriguing formulation, as the affinity of different tasks may lead to improved performance. In this paper, we tackle the new problem of joint semantic, affordance and…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Xiaoxue Chen , Tianyu Liu , Hao Zhao , Guyue Zhou , Ya-Qin Zhang

Concurrent systems are notoriously difficult to analyze, and technological advances such as weak memory architectures greatly compound this problem. This has renewed interest in partial order semantics as a theoretical foundation for formal…

Logic in Computer Science · Computer Science 2015-04-02 Alex Horn , Daniel Kroening

Discounted reinforcement learning is usually presented through Bellman equations on closed Markov decision processes. This paper develops a compositional view: a one-step decision process is treated as an open stochastic component, and…

Machine Learning · Computer Science 2026-05-26 Zuyuan Zhang

The fundamental tension between availability and consistency shapes the design of distributed storage systems. Classical results capture extreme points of this trade-off: the CAP theorem shows that strong models like linearizability…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-29 Hagit Attiya , Constantin Enea , Enrique Román-Calvo

Clausal Language (CL) is a declarative programming and verifying system used in our teaching of computer science. CL is an implementation of, what we call, $\mathit{PR}{+}I\Sigma_1$ paradigm (primitive recursive functions with…

Logic in Computer Science · Computer Science 2019-10-03 Ján Komara , Paul J. Voda

We propose an extension of Poole's independent choice logic based on a relaxation of the underlying independence assumptions. A credal semantics involving multiple joint probability mass functions over the possible worlds is adopted. This…

Logic in Computer Science · Computer Science 2018-06-22 Alessandro Antonucci , Alessandro Facchini

We give a rigorous characterization of what it means for a programming language to be memory safe, capturing the intuition that memory safety supports local reasoning about state. We formalize this principle in two ways. First, we show how…

Programming Languages · Computer Science 2018-04-10 Arthur Azevedo de Amorim , Catalin Hritcu , Benjamin C. Pierce

Multiagent AI systems require consistent communication, but we lack methods to verify that agents share the same understanding of the terms used. Natural language is interpretable but vulnerable to semantic drift, while learned protocols…

Artificial Intelligence · Computer Science 2026-03-20 Philipp Schoenegger , Matt Carlson , Chris Schneider , Chris Daly

Reachability types are a recent proposal to bring Rust-style reasoning about memory properties to higher-level languages, with a focus on higher-order functions, parametric types, and shared mutable state -- features that are only partially…

Programming Languages · Computer Science 2025-10-10 Yuyan Bao , Songlin Jia , Guannan Wei , Oliver Bračevac , Tiark Rompf

Computability logic (see http://www.csc.villanova.edu/~japaridz/CL/) is a long-term project for redeveloping logic on the basis of a constructive game semantics, with games seen as abstract models of interactive computational problems.…

Logic in Computer Science · Computer Science 2017-01-11 Giorgi Japaridze

Termination analysis of C programs is a challenging task. On the one hand, the analysis needs to be precise enough to draw meaningful conclusions. On the other hand, relevant programs in practice are large and require substantial…

Logic in Computer Science · Computer Science 2025-06-13 Frank Emrich , Jera Hensel , Jürgen Giesl

Interaction languages such as MSC are often associated with formal semantics by means of translations into distinct behavioral formalisms such as automatas or Petri nets. In contrast to translational approaches we propose an operational…

Software Engineering · Computer Science 2020-05-08 Erwan Mahe , Christophe Gaston , Pascale Le Gall

Many privacy-type properties of security protocols can be modelled using trace equivalence properties in suitable process algebras. It has been shown that such properties can be decided for interesting classes of finite processes (i.e.,…

Cryptography and Security · Computer Science 2016-10-27 David Baelde , Stéphanie Delaune , Lucca Hirschi