[PDF][PDF] Mixed Inductive-Coinductive Reasoning Types, Programs and Logic

H Basold - 2018 - repository.ubn.ru.nl
Induction and coinduction are two complementary techniques used in mathematics and
computer science. These techniques occur together, for example, in control systems: On the …

CALF: categorical automata learning framework

G van Heerdt, M Sammartino, A Silva - arXiv preprint arXiv:1704.05676, 2017 - arxiv.org
Automata learning is a technique that has successfully been applied in verification, with the
automaton type varying depending on the application domain. Adaptations of automata …

Session coalgebras: A coalgebraic view on regular and context-free session types

AC Keizer, H Basold, JA Pérez - ACM Transactions on Programming …, 2022 - dl.acm.org
Compositional methods are central to the verification of software systems. For concurrent
and communicating systems, compositional techniques based on behavioural type systems …

Learning automata with side-effects

G Van Heerdt, M Sammartino, A Silva - International Workshop on …, 2020 - Springer
Abstract Automata learning has been successfully applied in the verification of hardware
and software. The size of the automaton model learned is a bottleneck for scalability, and …

Monads and a common framework for fuzzy type automata

J Močkoř - International Journal of General Systems, 2019 - Taylor & Francis
Automata defined by monads in categories are introduced as special examples of monoids
actions on free T-algebras, where T is a monad in a category. Morphisms between monads …

Monoids as storage mechanisms

G Zetzsche - 2016 - kluedo.ub.rptu.de
Automata theory has given rise to a variety of automata models that consist of a finite-state
control and an infinite-state storage mechanism. The aim of this work is to provide insights …

Convex language semantics for nondeterministic probabilistic automata

G van Heerdt, J Hsu, J Ouaknine, A Silva - International Colloquium on …, 2018 - Springer
We explore language semantics for automata combining probabilistic and nondeterministic
behaviors. We first show that there are precisely two natural semantics for probabilistic …

Algebraic Language Theory with Effects

F Birkmann, S Milius, H Urbat, T Wißmann - arXiv preprint arXiv …, 2024 - arxiv.org
Regular languages-the languages accepted by deterministic finite automata-are known to
be precisely the languages recognized by finite monoids. This characterization is the origin …

A new foundation for finitary corecursion: The locally finite fixpoint and its properties

S Milius, D Pattinson, T Wißmann - International Conference on …, 2016 - Springer
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 …

[HTML][HTML] A new foundation for finitary corecursion and iterative algebras

S Milius, D Pattinson, T Wißmann - Information and Computation, 2020 - Elsevier
This paper contributes to a generic theory of behaviour of “finite-state” systems. Systems are
coalgebras with a finitely generated carrier for an endofunctor on a locally finitely …