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Graded modalities have been proposed in recent work on programming languages as a general framework for refining type systems with intensional properties. In particular, continuous endomaps of the discrete time scale, or time warps, can be…

Logic · Mathematics 2021-08-20 Sam van Gool , Adrien Guatto , George Metcalfe , Simon Santschi

Sequential propositional logic deviates from ordinary propositional logic by taking into account that during the sequential evaluation of a propositional statement,atomic propositions may yield different Boolean values at repeated…

Logic in Computer Science · Computer Science 2011-06-28 J. A. Bergstra , A. Ponse

We present a type-theoretic framework for reasoning about incorrectness in functional programs that interact with effectful, opaque library APIs. Our approach centers on traces -- temporally-ordered sequences of library API invocations --…

Programming Languages · Computer Science 2025-09-03 Yongwei Yuan , Zhe Zhou , Julia Belyakova , Benjamin Delaware , Suresh Jagannathan

We present a general framework for balancing expressions (terms) in form of so called tree straight-line programs. The latter can be seen as circuits over the free term algebra extended by contexts (terms with a hole) and the operations…

Computational Complexity · Computer Science 2017-10-18 Moses Ganardi , Markus Lohrey

We develop a (co)algebraic framework to study a family of process calculi with monadic branching structures and recursion operators. Our framework features a uniform semantics of process terms and a complete axiomatisation of semantic…

Logic in Computer Science · Computer Science 2022-07-26 Todd Schmid , Wojciech Rozowski , Alexandra Silva , Jurriaan Rot

Cousot and Cousot introduced and studied a general past/future-time specification language, called mu*-calculus, featuring a natural time-symmetric trace-based semantics. The standard state-based semantics of the mu*-calculus is an abstract…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Giacobazzi , Francesco Ranzato

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

Process theories provide a powerful framework for describing compositional structures across diverse fields, from quantum mechanics to computational linguistics. Traditionally, they have been formalized using symmetric monoidal categories…

Category Theory · Mathematics 2025-05-12 John H. Selby , Maria E. Stasinou , Matt Wilson , Bob Coecke

Compositionality and process equivalence are both standard concepts of process algebra. Compositionality means that the behaviour of a compound system relies only on the behaviour of its components, i.e. there is no emergent behaviour.…

Logic in Computer Science · Computer Science 2016-03-04 Paweł Sobociński

A foundation is investigated for the application of loosely structured data on the Web. This area is often referred to as Linked Data, due to the use of URIs in data to establish links. This work focuses on emerging W3C standards which…

Logic in Computer Science · Computer Science 2011-08-02 Ross Horne , Vladimiro Sassone

A process algebra is proposed, whose semantics maps a term to a nondeterministic finite automaton (NFA, for short). We prove a representability theorem: for each NFA $N$, there exists a process algebraic term $p$ such that its semantics is…

Formal Languages and Automata Theory · Computer Science 2024-02-02 Roberto Gorrieri

The modelling, specification and study of the semantics of concurrent reactive systems have been interesting research topics for many years now. The aim of this thesis is to exploit the strengths of the (co)algebraic framework in modelling…

Logic in Computer Science · Computer Science 2015-02-11 Georgiana Caltais

Commutativity has the same inherent limitations as compatibility. Then, it is worth conceiving simple concurrency control techniques. We propose a restricted form of commutativity which increases parallelism without incurring a higher…

Databases · Computer Science 2010-04-08 José Martinez , Carmelo Malta

The problem of checking a logged event trace against a temporal logic specification arises in many practical cases. Unfortunately, known algorithms for an expressive logic like MTL (Metric Temporal Logic) do not scale with respect to two…

Software Engineering · Computer Science 2015-08-27 Marcello M. Bersani , Domenico Bianculli , Carlo Ghezzi , Srdan Krstic , Pierluigi San Pietro

With distributed computing and mobile applications, synchronizing diverging replicas of data structures is a more and more common problem. We use algebraic methods to reason about filesystem operations, and introduce a simplified definition…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-24 Elod Pal Csirmaz

Trace alignment algorithms have been used in process mining for discovering the consensus treatment procedures and process deviations. Different alignment algorithms, however, may produce very different results. No widely-adopted method…

Other Computer Science · Computer Science 2017-09-21 Moliang Zhou , Sen Yang , Shuyu Lv , Xinyu Li , Shuhong Chen , Ivan Marsic , Richard Farneth , Randall Burd

Automata expressiveness is an essential feature in understanding which of the formalisms available should be chosen for modelling a particular problem. Probabilistic and stochastic automata are suitable for modelling systems exhibiting…

Logic in Computer Science · Computer Science 2019-03-19 Valentin Bura , Tim French , Mark Reynolds

This paper is concerned with developing a theory of traces for functions that are integrable but need not possess any differentiability within their domain. Moreover, the domain can have an irregular boundary with cusp-like features and…

Analysis of PDEs · Mathematics 2020-07-07 Mikil Foss

LTL3 is a multi-valued variant of Linear-time Temporal Logic for runtime verification applications. The semantic descriptions of LTL3 in previous work are given only in terms of the relationship to conventional LTL. Our approach, by…

Logic in Computer Science · Computer Science 2024-11-25 Rayhana Amjad , Rob van Glabbeek , Liam O'Connor

Process equivalences are formal methods that relate programs and system which, informally, behave in the same way. Since there is no unique notion of what it means for two dynamic systems to display the same behaviour there are a multitude…

Logic in Computer Science · Computer Science 2012-10-10 Martin Lange , Etienne Lozes , Manuel Vargas Guzmán
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