[HTML][HTML] Nondeterministic fuzzy automata with membership values in complete residuated lattices

H Pan, Y Li, Y Cao, P Li - International Journal of Approximate Reasoning, 2017 - Elsevier
Abstract Automata theory based on complete residuated lattice-valued logic has been
initiated by Qiu, and further systematically established by Qiu et al. In this paper, we propose …

Canonical automata via distributive law homomorphisms

S Zetzsche, G van Heerdt, M Sammartino… - arXiv preprint arXiv …, 2021 - arxiv.org
The classical powerset construction is a standard method converting a non-deterministic
automaton into a deterministic one recognising the same language. Recently, the powerset …

Residual nominal automata

J Moerman, M Sammartino - Leibniz International Proceedings …, 2020 - discovery.ucl.ac.uk
We are motivated by the following question: which nominal languages admit an active
learning algorithm? This question was left open in previous work, and is particularly …

Coalgebraic minimization of automata by initiality and finality

J Rot - Electronic Notes in Theoretical Computer Science, 2016 - Elsevier
Deterministic automata can be minimized by partition refinement (Moore's algorithm,
Hopcroft's algorithm) or by reversal and determinization (Brzozowski's algorithm). In the …

[PDF][PDF] Nondeterministic Syntactic Complexity.

RSR Myers, S Milius, H Urbat - FoSSaCS, 2021 - library.oapen.org
We introduce a new measure on regular languages: their nondeterministic syntactic
complexity. It is the least degree of any extension of the 'canonical boolean representation'of …

Canonical Algebraic Generators in Automata Learning

S Zetzsche - arXiv preprint arXiv:2308.04222, 2023 - arxiv.org
Many methods for the verification of complex computer systems require the existence of a
tractable mathematical abstraction of the system, often in the form of an automaton. In reality …

Syntactic minimization of nondeterministic finite automata

RSR Myers, H Urbat - arXiv preprint arXiv:2107.03229, 2021 - arxiv.org
Nondeterministic automata may be viewed as succinct programs implementing deterministic
automata, ie complete specifications. Converting a given deterministic automaton into a …

[HTML][HTML] A (co) algebraic theory of succinct automata

G van Heerdt, J Moerman, M Sammartino… - Journal of Logical and …, 2019 - Elsevier
The classical subset construction for non-deterministic automata can be generalized to other
side-effects captured by a monad. The key insight is that both the state space of the …

Yet another canonical nondeterministic automaton

H Maarand, H Tamm - Theoretical Computer Science, 2024 - Elsevier
Several canonical forms of finite automata have been introduced over the decades. In
particular, if one considers the minimal deterministic finite automaton (DFA), the canonical …

Generators and Bases for Monadic Closures

S Zetzsche, A Silva, M Sammartino - arXiv preprint arXiv:2010.10223, 2020 - arxiv.org
It is well-known that every regular language admits a unique minimal deterministic acceptor.
Establishing an analogous result for non-deterministic acceptors is significantly more …