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We study bisimulation and context equivalence in a probabilistic $\lambda$-calculus. The contributions of this paper are threefold. Firstly we show a technique for proving congruence of probabilistic applicative bisimilarity. While the…

编程语言 · 计算机科学 2013-11-08 Ugo Dal Lago , Davide Sangiorgi , Michele Alberti

We prove that rooted divergence-preserving branching bisimilarity is a congruence for the process specification language consisting of nil, action prefix, choice, and the recursion construct.

计算机科学中的逻辑 · 计算机科学 2023-06-22 Rob van Glabbeek , Bas Luttik , Linda Spaninks

This work studies the question of learning probabilistic deterministic automata from language models. For this purpose, it focuses on analyzing the relations defined on algebraic structures over strings by equivalences and similarities on…

形式语言与自动机理论 · 计算机科学 2024-12-16 Matías Carrasco , Franz Mayr , Sergio Yovine

A relational structure $\mathbb{X}$ is called reversible iff each bijective homomorphism from $\mathbb{X}$ onto $\mathbb{X}$ is an isomorphism, and linear orders are prototypical examples of such structures. One way to detect new reversible…

逻辑 · 数学 2018-03-28 Miloš S. Kurilić , Nenad Morača

One of the basic sanity properties of a behavioural semantics is that it constitutes a congruence with respect to standard process operators. This issue has been traditionally addressed by the development of rule formats for transition…

计算机科学中的逻辑 · 计算机科学 2010-08-13 Maciej Gazda , Wan Fokkink

The well-known process algebras, such as CCS, ACP and $\pi$-calculus, capture the interleaving concurrency based on bisimilarity semantics. We did some work on truly concurrent process algebras, such as CTC, APTC and $\pi_{tc}$, capture the…

计算机科学中的逻辑 · 计算机科学 2021-09-09 Yong Wang

The well-known process algebras, such as CCS, ACP and $\pi$-calculus, capture the interleaving concurrency based on bisimilarity semantics. We did some work on truly concurrent process algebras, such as CTC, APTC and $\pi_{tc}$, capture the…

计算机科学中的逻辑 · 计算机科学 2021-08-24 Yong Wang

This paper introduces the counterpart of strong bisimilarity for labelled transition systems extended with time-out transitions. It supports this concept through a modal characterisation, congruence results for a standard process algebra…

计算机科学中的逻辑 · 计算机科学 2023-01-25 Rob van Glabbeek

If $L$ is a relational language, an $L$-structure ${\mathbb X}$ is condensable to an $L$-structure ${\mathbb Y}$, we write ${\mathbb X} \preccurlyeq _c {\mathbb Y}$, iff there is a bijective homomorphism (condensation) from ${\mathbb X}$…

逻辑 · 数学 2018-07-03 Miloš S. Kurilić

If $L$ is a relational language, then an $L$-structure ${\mathbb X}=\langle X,\bar \rho \rangle$ is reversible iff there is no interpretation $\bar \sigma \varsubsetneq \bar \rho$ such that the structures $\langle X,\bar \sigma \rangle$ and…

逻辑 · 数学 2023-06-27 Miloš S. Kurilić

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…

计算机科学中的逻辑 · 计算机科学 2023-04-25 Nasos Evangelou-Oost , Callum Bannister , Ian J. Hayes

We show that three fixed point structures equipped with (sequential) composition, a sum operation, and a fixed point operation share the same valid equations. These are the theories of (context-free) languages, (regular) tree languages, and…

计算机科学中的逻辑 · 计算机科学 2013-04-16 Zoltan Esik

Language is contextual as meanings of words are dependent on their contexts. Contextuality is, concomitantly, a well-defined concept in quantum mechanics where it is considered a major resource for quantum computations. We investigate…

计算与语言 · 计算机科学 2021-08-02 Daphne Wang , Mehrnoosh Sadrzadeh , Samson Abramsky , Victor H. Cervantes

Predictive equivalence in discrete stochastic processes have been applied with great success to identify randomness and structure in statistical physics and chaotic dynamical systems and to inferring hidden Markov models. We examine the…

统计力学 · 物理学 2021-09-21 Samuel P. Loomis , James P. Crutchfield

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction:…

计算机科学中的逻辑 · 计算机科学 2023-09-15 Jos C. M. Baeten , Bas Luttik

We target the problem of provably computing the equivalence between two complex expression trees. To this end, we formalize the problem of equivalence between two such programs as finding a set of semantics-preserving rewrite rules from one…

编程语言 · 计算机科学 2021-06-10 Steve Kommrusch , Théo Barollet , Louis-Noël Pouchet

Reversible computation is key in developing new, energy-efficient paradigms, but also in providing forward-only concepts with broader definitions and finer frames of study.Among other fields, the algebraic specification and representation…

分布式、并行与集群计算 · 计算机科学 2021-10-26 Clément Aubert

Reversible systems feature both forward computations and backward computations, where the latter undo the effects of the former in a causally consistent manner. The compositionality properties and equational characterizations of strong and…

计算机科学中的逻辑 · 计算机科学 2023-10-03 Marco Bernardo , Andrea Esposito

An algebraic structure is said to be congruence permutable if its arbitrary congruences $\alpha$ and $\beta$ satisfy the equation $\alpha \circ \beta =\beta \circ \alpha$, where $\circ$ denotes the usual composition of binary relations. For…

群论 · 数学 2018-02-27 Attila Nagy

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…

计算机科学中的逻辑 · 计算机科学 2011-08-02 Ross Horne , Vladimiro Sassone