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In this paper, we present a Hoare-style logic for reasoning about quantum programs with classical variables. Our approach offers several improvements over previous work: (1) Enhanced expressivity of the programming language: Our logic…

Programming Languages · Computer Science 2026-04-21 Mingsheng Ying

Composition is an important feature of a specification language, as it enables the design of a complex system in terms of a product of its parts. Decomposition is equally important in order to reason about structural properties of a system.…

Logic in Computer Science · Computer Science 2022-07-05 Benjamin Lion , Farhad Arbab , Carolyn Talcott

Bounded model checking of pointer programs is a debugging technique for programs that manipulate dynamically allocated pointer structures on the heap. It is based on the following four observations. First, error conditions like dereference…

Logic in Computer Science · Computer Science 2016-03-02 Witold Charatonik , Piotr Witkowski

We present a lattice of distributed program specifications, whose ordering represents implementability/refinement. Specifications are modelled by families of subsets of relative execution traces, which encode the local orderings of state…

Logic in Computer Science · Computer Science 2023-04-25 Nasos Evangelou-Oost , Callum Bannister , Ian J. Hayes

We propose a hybrid-dynamic first-order logic as a formal foundation for specifying and reasoning about reconfigurable systems. As the name suggests, the formalism we develop extends (many-sorted) first-order logic with features that are…

Logic in Computer Science · Computer Science 2019-05-13 Daniel Găină , Ionuţ Ţuţu

Verifying fine-grained optimistic concurrent programs remains an open problem. Modern program logics provide abstraction mechanisms and compositional reasoning principles to deal with the inherent complexity. However, their use is mostly…

Programming Languages · Computer Science 2022-11-14 Roland Meyer , Thomas Wies , Sebastian Wolff

We show that a partial-correctness assertion about an iterative program is provable in Hoare Logic iffit is provable in standard second-order logic with comprehension restricted to first-order predicates. This equivalence was claimed twice…

Logic in Computer Science · Computer Science 2026-05-15 Daniel Leivant

Financial structures such as securitisations, insurance contracts, and other hierarchical claims systems can be interpreted as deterministic allocation mechanisms acting on stochastic inflow processes. This paper develops a general…

Computational Finance · Quantitative Finance 2026-02-17 Antonio Scala

Distributed system theory literature often argues for correctness using an informal, Hoare-like style of reasoning. While these arguments are intuitive, they have not all been foolproof, and whether they directly correspond to formal proofs…

Programming Languages · Computer Science 2025-10-15 Haobin Ni , Robbert van Renesse , Greg Morrisett

Type refinements combine the compositionality of typechecking with the expressivity of program logics, offering a synergistic approach to program verification. In this paper we apply dependent type refinements to SAX, a futures-based…

Programming Languages · Computer Science 2024-02-14 Siva Somayyajula , Frank Pfenning

Robustness of a distributed computing system is defined as the ability to maintain its performance in the presence of uncertain parameters. Uncertainty is a key problem in heterogeneous (and even homogeneous) distributed computing systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Ali Mokhtari , Chavit Denninnart , Mohsen Amini Salehi

The field of Distributed Constraint Optimization Problems (DCOPs) has gained momentum, thanks to its suitability in capturing complex problems (e.g., multi-agent coordination and resource allocation problems) that are naturally distributed…

Multiagent Systems · Computer Science 2014-05-16 Tiep Le , Enrico Pontelli , Tran Cao Son , William Yeoh

We extend the simply-typed guarded $\lambda$-calculus with discrete probabilities and endow it with a program logic for reasoning about relational properties of guarded probabilistic computations. This provides a framework for programming…

Programming Languages · Computer Science 2018-02-28 Alejandro Aguirre , Gilles Barthe , Lars Birkedal , Aleš Bizjak , Marco Gaboardi , Deepak Garg

Many natural program correctness properties can be stated in terms of symmetries, but existing formal methods have little support for reasoning about such properties. We consider how to formally verify a broad class of symmetry properties…

Programming Languages · Computer Science 2025-09-04 Vaibhav Mehta , Justin Hsu

Reconfiguration is an important activity for companies selling configurable products or services which have a long life time. However, identification of a set of required changes in a legacy configuration is a hard problem, since even small…

Artificial Intelligence · Computer Science 2011-09-02 Gerhard Friedrich , Anna Ryabokon , Andreas A. Falkner , Alois Haselböck , Gottfried Schenner , Herwig Schreiner

In systems verification we are often concerned with multiple, inter-dependent properties that a program must satisfy. To prove that a program satisfies a given property, the correctness of intermediate states of the program must be…

Logic in Computer Science · Computer Science 2024-10-23 Danielle Matichuk

Major software failures are reported to be due to misconfiguration. As manual configuration is too error-prone to be deemed a reliable strategy for dynamic and complex systems, automated configuration management has become a standard.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 Tamara Ranković , Filip Šiljić , Jovan Tomić , Goran Sladić , Miloš Simić

Thanks to the locality principle, separation logics support modular, scalable analysis of large codebases by relying on local axioms and frame rules to focus only on the heap fragments required for verification. However, depending on the…

Logic in Computer Science · Computer Science 2026-05-21 Roberto Bruni , Lorenzo Gazzella , Roberta Gori

This paper investigates some issues arising in categorical models of reversible logic and computation. Our claim is that the structural (coherence) isomorphisms of these categorical models, although generally overlooked, have decidedly…

Category Theory · Mathematics 2013-04-29 Peter Hines

In this paper, we consider a planning problem for a large-scale system modelled as a hierarchical finite state machine (HFSM) and develop a control algorithm for computing optimal plans between any two states. The control algorithm consists…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Elis Stefansson , Karl H. Johansson
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