Automata learning: An algebraic approach

H Urbat, L Schröder - Proceedings of the 35th Annual ACM/IEEE …, 2020 - dl.acm.org
We propose a generic categorical framework for learning unknown formal languages of
various types (eg finite or infinite words, weighted and nominal languages). Our approach is …

[HTML][HTML] Coalgebraic constructions of canonical nondeterministic automata

RSR Myers, J Adámek, S Milius, H Urbat - Theoretical Computer Science, 2015 - Elsevier
For each regular language L we describe a family of canonical nondeterministic acceptors
(nfas). Their construction follows a uniform recipe: build the minimal dfa for L in a locally …

Syntactic monoids in a category

J Adamek, S Milius, H Urbat - arXiv preprint arXiv:1504.02694, 2015 - arxiv.org
The syntactic monoid of a language is generalized to the level of a symmetric monoidal
closed category D. This allows for a uniform treatment of several notions of syntactic …

[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 …

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 …

A short introduction to the coalgebraic method

A Silva - ACM SIGLOG News, 2015 - dl.acm.org
This article contains a brief introduction to coalgebra and an overview of a recent proof of
correctness for Brzozowski's algorithm which uses coalgebraic techniques. In the discussion …

A quasiorder-based perspective on residual automata

P Ganty, E Gutiérrez, P Valero - arXiv preprint arXiv:2007.00359, 2020 - arxiv.org
In this work, we define a framework of automata constructions based on quasiorders over
words to provide new insights on the class of residual automata. We present a new …