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In a paper presented at SOS 2010, we developed a framework for big-step semantics for interactive input-output in combination with divergence, based on coinductive and mixed inductive-coinductive notions of resumptions, evaluation and…

Programming Languages · Computer Science 2013-12-11 Tarmo Uustalu

This paper presents a bisimulation-based method for establishing the soundness of equations between terms constructed using operations whose semantics is specified by rules in the GSOS format of Bloom, Istrail and Meyer. The method is…

Logic in Computer Science · Computer Science 2010-02-16 Luca Aceto , Matteo Cimini , Anna Ingolfsdottir

Logically constrained term rewriting is a rewriting framework that supports built-in data structures such as integers and bit vectors. Recently, constrained terms play a key role in various analyses and applications of logically constrained…

Logic in Computer Science · Computer Science 2025-12-16 Kanta Takahata , Jonas Schöpf , Naoki Nishida , Takahito Aoto

We give a method to prove confluence of term rewriting systems that contain non-terminating rewrite rules such as commutativity and associativity. Usually, confluence of term rewriting systems containing such rules is proved by treating…

Logic in Computer Science · Computer Science 2015-07-01 Takahito Aoto , Yoshihito Toyama

Our goal is procedural text comprehension, namely tracking how the properties of entities (e.g., their location) change with time given a procedural text (e.g., a paragraph about photosynthesis, a recipe). This task is challenging as the…

Computation and Language · Computer Science 2019-06-24 Xinya Du , Bhavana Dalvi Mishra , Niket Tandon , Antoine Bosselut , Wen-tau Yih , Peter Clark , Claire Cardie

Linguistic similarity is multi-faceted. For instance, two words may be similar with respect to semantics, syntax, or morphology inter alia. Continuous word-embeddings have been shown to capture most of these shades of similarity to some…

Computation and Language · Computer Science 2019-07-05 Ryan Cotterell , Hinrich Schütze

This paper presents the Pi-graphs, a visual paradigm for the modelling and verification of mobile systems. The language is a graphical variant of the Pi-calculus with iterators to express non-terminating behaviors. The operational semantics…

Formal Languages and Automata Theory · Computer Science 2010-11-02 Frédéric Peschanski , Hanna Klaudel , Raymond Devillers

We define a notion of Lambda-simulation for coalgebraic modal logics, parametric on the choice Lambda of predicate liftings for a functor T. We show this notion is adequate in several ways: i) it preserves truth of positive formulas, ii)…

Logic in Computer Science · Computer Science 2013-04-12 Daniel Gorín , Lutz Schröder

We investigate how various forms of bisimulation can be characterised using the technology of logical relations. The approach taken is that each form of bisimulation corresponds to an algebraic structure derived from a transition system,…

Logic in Computer Science · Computer Science 2022-03-14 Claudio Hermida , Uday Reddy , Edmund Robinson , Alessio Santamaria

Establishing equivalences between programs or systems is crucial both for verifying correctness of programs, by establishing that two implementations are equivalent, and for justifying optimisations and program transformations, by…

Logic in Computer Science · Computer Science 2021-10-25 Rabéa Ameur-Boulifa , Ludovic Henrio , Eric Madelaine

Simon's congruence $\sim_k$ is defined as follows: two words are $\sim_k$-equivalent if they have the same set of subsequences of length at most $k$. We propose an algorithm which computes, given two words $s$ and $t$, the largest $k$ for…

Formal Languages and Automata Theory · Computer Science 2021-03-16 Pawel Gawrychowski , Maria Kosche , Tore Koss , Florin Manea , Stefan Siemer

In this paper we present a method to pass from a recurrence relation having constant coefficients (in short, a C-recurrence) to a finite succession rule defining the same number sequence. We recall that succession rules are a recently…

Discrete Mathematics · Computer Science 2013-01-15 Stefano Bilotta , Elisa Pergola , Renzo Pinzani , Simone Rinaldi

Several notions of bisimulation relations for probabilistic non-deterministic transition systems have been considered in the literature. We consider a novel testing-based behavioral equivalence called upper-expectation bisimilarity and…

Logic in Computer Science · Computer Science 2013-10-03 Matteo Mio

Hybrid Communicating Sequential Processes (HCSP) is a powerful formal modeling language for hybrid systems, which is an extension of CSP by introducing differential equations for modeling continuous evolution and interrupts for modeling…

Logic in Computer Science · Computer Science 2016-09-09 Gaogao Yan , Li Jiao , Yangjia Li , Shuling Wang , Naijun Zhan

Classical logics of knowledge and belief are usually interpreted on Kripke models, for which a mathematically well-developed model theory is available. However, such models are inadequate to capture dynamic phenomena. Therefore, epistemic…

Logic in Computer Science · Computer Science 2015-03-13 Lorenz Demey

Equality saturation is a powerful technique for program optimization. Contextual equality saturation extends this to support rewrite rules that are conditioned on where a term appears in an expression. Existing work has brought contextual…

Programming Languages · Computer Science 2025-07-17 Tyler Hou , Shadaj Laddad , Joseph M. Hellerstein

Learning compatible representations enables the interchangeable use of semantic features as models are updated over time. This is particularly relevant in search and retrieval systems where it is crucial to avoid reprocessing of the gallery…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Niccolò Biondi , Federico Pernici , Simone Ricci , Alberto Del Bimbo

Linearizability and progress properties are key correctness notions for concurrent objects. However, model checking linearizability has suffered from the PSPACE-hardness of the trace inclusion problem. This paper proposes to exploit…

Programming Languages · Computer Science 2016-10-03 Xiaoxiao Yang , Joost-Pieter Katoen , Huimin Lin , Hao Wu

We show that if a numerical method is posed as a sequence of operators acting on data and depending on a parameter, typically a measure of the size of discretization, then consistency, convergence and stability can be related by a…

Numerical Analysis · Mathematics 2007-09-27 John Jossey , Anil N. Hirani

Cross-lingual semantic textual similarity systems estimate the degree of the meaning similarity between two sentences, each in a different language. State-of-the-art algorithms usually employ machine translation and combine vast amount of…

Computation and Language · Computer Science 2018-07-12 Tomáš Brychcín