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A wide range of constraints can be compactly specified using automata or formal languages. In a sequence of recent papers, we have shown that an effective means to reason with such specifications is to decompose them into primitive…

Artificial Intelligence · Computer Science 2009-03-04 Claude-Guy Quimper , Toby Walsh

Timed systems, such as timed automata, are usually analyzed using their operational semantics on timed words. The classical region abstraction for timed automata reduces them to (untimed) finite state automata with the same time-abstract…

Formal Languages and Automata Theory · Computer Science 2023-06-22 S. Akshay , Paul Gastin , Shankara Narayanan Krishna

Timed automata and register automata are well-known models of computation over timed and data words respectively. The former has clocks that allow to test the lapse of time between two events, whilst the latter includes registers that can…

Formal Languages and Automata Theory · Computer Science 2019-02-20 Diego Figueira , Piotr Hofman , Sławomir Lasota

We develop a general framework for the specification and implementation of systems whose executions are words, or partial orders, over an infinite alphabet. As a model of an implementation, we introduce class register automata, a one-way…

Formal Languages and Automata Theory · Computer Science 2012-01-10 Benedikt Bollig

Temporal logic is a framework for representing and reasoning about propositions that evolve over time. It is commonly used for specifying requirements in various domains, including hardware and software systems, as well as robotics.…

Computation and Language · Computer Science 2024-06-03 İlker Işık , Ebru Aydin Gol , Ramazan Gokberk Cinbis

We propose a new formal language for the expressive representation of probabilistic knowledge based on Answer Set Programming (ASP). It allows for the annotation of first-order formulas as well as ASP rules and facts with probabilities and…

Artificial Intelligence · Computer Science 2014-05-06 Matthias Nickles , Alessandra Mileo

Automata over infinite words, also known as omega-automata, play a key role in the verification and synthesis of reactive systems. The spectrum of omega-automata is defined by two characteristics: the acceptance condition (e.g. B\"uchi or…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while…

Formal Languages and Automata Theory · Computer Science 2019-05-27 Victor Roussanaly , Ocan Sankur , Nicolas Markey

We propose an end-to-end approach for Answer Set Programming (ASP) and linear algebraically compute stable models satisfying given constraints. The idea is to implement Lin-Zhao's theorem together with constraints directly in vector spaces…

Artificial Intelligence · Computer Science 2025-10-03 Taisuke Sato , Akihiro Takemura , Katsumi Inoue

Answer Set Programming (ASP), a well-known declarative logic programming paradigm, has recently found practical application in Process Mining. In particular, ASP has been used to model tasks involving declarative specifications of business…

Logic in Computer Science · Computer Science 2025-02-19 Francesco Chiariello , Valeria Fionda , Antonio Ielo , Francesco Ricca

We consider the setting of component-based design for real-time systems with critical timing constraints. Based on our earlier work, we propose a compositional specification theory for timed automata with I/O distinction, which supports…

Software Engineering · Computer Science 2012-06-21 Chris Chilton , Marta Kwiatkowska , Xu Wang

Active automata learning in the framework of Angluin's $L^*$ algorithm has been applied to learning many kinds of automata models. In applications to timed models such as timed automata, the main challenge is to determine guards on the…

Formal Languages and Automata Theory · Computer Science 2022-08-02 Runqing Xu , Jie An , Bohua Zhan

The use of spatio-temporal logics in control is motivated by the need to impose complex spatial and temporal behavior on dynamical systems, and to control these systems accordingly. Synthesizing correct-by-design control laws is a…

Formal Languages and Automata Theory · Computer Science 2020-03-26 Lars Lindemann , Dimos V. Dimarogonas

The theory of abstract argumentation frameworks (afs) has, in the main, focused on finite structures, though there are many significant contexts where argumentation can be regarded as a process involving infinite objects. To address this…

Artificial Intelligence · Computer Science 2018-10-12 Pietro Baroni , Federico Cerutti , Paul E. Dunne , Massimiliano Giacomin

This paper moves the first step towards automating the composition of Answer Set Programming (ASP) specifications. In particular, the following contributions are provided: (i) A dataset focused on graph-related problem specifications,…

Artificial Intelligence · Computer Science 2024-03-08 Manuel Borroto , Irfan Kareem , Francesco Ricca

While the solution counting problem for propositional satisfiability (#SAT) has received renewed attention in recent years, this research trend has not affected other AI solving paradigms like answer set programming (ASP). Although ASP…

Logic in Computer Science · Computer Science 2016-12-23 Johannes Fichte , Markus Hecher , Michael Morak , Stefan Woltran

Answer set programming is a leading declarative constraint programming paradigm with wide use for complex knowledge-intensive applications. Modern answer set programming languages support many equivalent ways to model constraints and…

Artificial Intelligence · Computer Science 2020-09-23 Michael Dingess , Miroslaw Truszczynski

Leveraging machine learning methods to solve constraint satisfaction problems has shown promising, but they are mostly limited to a static situation where the problem description is completely known and fixed from the beginning. In this…

Machine Learning · Computer Science 2025-09-23 Wook Lee , Frans A. Oliehoek

Extending ASP with constraints (CASP) enhances its expressiveness and performance. This extension is not straightforward as the grounding phase, present in most ASP systems, removes variables and the links among them, and also causes a…

Programming Languages · Computer Science 2018-06-01 Joaquín Arias , Manuel Carro , Elmer Salazar , Kyle Marple , Gopal Gupta

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

Cryptography and Security · Computer Science 2022-06-08 Johan Arcile , Étienne André