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We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affinely on nonlinear functions of the scheduling varable, into…

Optimization and Control · Mathematics 2025-06-27 Mihály Petreczky , Ziad Alkhoury , Guillaume Mercère

By operations on models we show how to relate completeness with respect to permissive-nominal models to completeness with respect to nominal models with finite support. Models with finite support are a special case of permissive-nominal…

Logic in Computer Science · Computer Science 2013-05-28 Murdoch J. Gabbay

We give sound and complete Hilbert-style axiomatizations for propositional dependence logic (PD), modal dependence logic (MDL), and extended modal dependence logic (EMDL) by extending existing axiomatizations for propositional logic and…

Logic in Computer Science · Computer Science 2014-10-21 Katsuhiko Sano , Jonni Virtema

This paper contributes to a theory of the behaviour of "finite-state" systems that is generic in the system type. We propose that such systems are modeled as coalgebras with a finitely generated carrier for an endofunctor on a locally…

Category Theory · Mathematics 2017-10-23 Stefan Milius , Dirk Pattinson , Thorsten Wißmann

This paper establishes model-theoretic properties of $\mathrm{FOE}^{\infty}$, a variation of monadic first-order logic that features the generalised quantifier $\exists^\infty$ (`there are infinitely many'). We provide syntactically defined…

Logic in Computer Science · Computer Science 2018-09-11 Facundo Carreiro , Alessandro Facchini , Yde Venema , Fabio Zanasi

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

A Markov decision process (MDP) is a state-based dynamical system capable of describing probabilistic behaviour with rewards. In this paper, we view MDPs as coalgebras living in the category of analytic spaces, a very general class of…

Logic in Computer Science · Computer Science 2025-05-30 Daniel Luckhardt , Harsh Beohar , Clemens Kupke

We specify the operational semantics and bisimulation relations for the finite pi-calculus within a logic that contains the nabla quantifier for encoding generic judgments and definitions for encoding fixed points. Since we restrict to the…

Logic in Computer Science · Computer Science 2009-02-16 Alwen Tiu , Dale Miller

Binary Decision Diagrams (BDDs) are a widely used data structure for efficient Boolean function representation. Context-Free-Language Ordered Binary Decision Diagrams (CFLOBDDs) are a recently introduced hierarchical data structure that…

Formal Languages and Automata Theory · Computer Science 2026-05-18 Meghana Aparna Sistla , Swarat Chaudhuri , Thomas W. Reps

In this paper we investigate certain systems of propositional intuitionistic modal logic defined semantically in terms of neighborhood structures. We discuss various restrictions imposed on those frames but our constant approach is to…

Logic · Mathematics 2018-01-19 Tomasz Witczak

The lack of evidence in favor of any new physics models means that the search for new physics beyond the Standard Model (BSM) is wide open, with no direction clearly more promising than any other. This marks a turn towards what can be…

History and Philosophy of Physics · Physics 2025-07-08 Martin King

Partial dependence curves (FPD) introduced by Friedman, are an important model interpretation tool, but are often not accessible to business analysts and scientists who typically lack the skills to choose, tune, and assess machine learning…

Machine Learning · Computer Science 2020-04-28 Terence Parr , James D. Wilson

A modal logic that is strong enough to fully characterize the behavior of a system is called expressive. Recently, with the growing diversity of systems to be reasoned about (probabilistic, cyber-physical, etc.), the focus shifted to…

Logic in Computer Science · Computer Science 2021-05-24 Yuichi Komorida , Shin-ya Katsumata , Clemens Kupke , Jurriaan Rot , Ichiro Hasuo

In the last few years there have been rapid developments in SMT solving for finite fields. These include new decision procedures, new implementations of SMT theory solvers, and new software verifiers that rely on SMT solving for finite…

Logic in Computer Science · Computer Science 2024-08-01 Thomas Hader , Alex Ozdemir

This paper presents a novel First Order Plus Fractional Diffusive Delay (FOPFDD) model, capable of modeling delay dominant systems with high accuracy. The novelty of the FOPFDD is the Fractional Diffusive Delay (FDD) term, an exponential…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Jasper Juchem , Amélie Chevalier , Kevin Dekemele , Mia Loccufier

There has been a long history of using fuzzy language equivalence to compare the behavior of fuzzy systems, but the comparison at this level is too coarse. Recently, a finer behavioral measure, bisimulation, has been introduced to fuzzy…

Artificial Intelligence · Computer Science 2016-11-15 Yongzhi Cao , Guoqing Chen , Etienne Kerre

A decidability proof for bisimulation equivalence of first-order grammars (finite sets of labelled rules for rewriting roots of first-order terms) is presented. The equivalence generalizes the DPDA (deterministic pushdown automata)…

Logic in Computer Science · Computer Science 2014-06-02 Petr Jancar

A series of conjectures is obtained as further investigation of the integral transformation I(alpha) introduced in the previous paper. A Macdonald-type difference operator D is introduced. It is conjectured that D and I(alpha) are…

Quantum Algebra · Mathematics 2007-05-23 Jun'ichi Shiraishi

Plausibility models are Kripke models that agents use to reason about knowledge and belief, both of themselves and of each other. Such models are used to interpret the notions of conditional belief, degrees of belief, and safe belief. The…

Artificial Intelligence · Computer Science 2018-02-06 Mikkel Birkegaard Andersen , Thomas Bolander , Hans van Ditmarsch , Martin Holm Jensen

Practically all programming languages allow the programmer to split a program into several modules which brings along several advantages in software development. In this paper, we are interested in the area of answer-set programming where…

Logic in Computer Science · Computer Science 2014-01-16 Tomi Janhunen , Emilia Oikarinen , Hans Tompits , Stefan Woltran