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In this thesis we use quasiorders on words to offer a new perspective on two well-studied problems from Formal Language Theory: deciding language inclusion and manipulating the finite automata representations of regular languages. First, we…

Formal Languages and Automata Theory · Computer Science 2020-08-21 Pedro Valero

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

Relating formal grammars is a hard problem that balances between language equivalence (which is known to be undecidable) and grammar identity (which is trivial). In this paper, we investigate several milestones between those two extremes…

Software Engineering · Computer Science 2015-03-31 Vadim Zaytsev

For a fixed regular language $L$, the enumeration of $L$-infixes is the following task: we are given an input word $w = a_1 \cdots a_n$ and we must enumerate the infixes of $w$ that belong to $L$, i.e., the pairs $i \leq j$ such that $a_i…

Formal Languages and Automata Theory · Computer Science 2026-02-17 Antoine Amarilli , Sven Dziadek , Luc Segoufin

In this paper, we continue the research on the power of contextual grammars with selection languages from subfamilies of the family of regular languages. We investigate infix-, prefix-, and suffix-closed languages (referred to as…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Marvin Ködding , Bianca Truthe

We propose abstract compilation for precise static type analysis of object-oriented languages based on coinductive logic programming. Source code is translated to a logic program, then type-checking and inference problems amount to queries…

Programming Languages · Computer Science 2017-09-15 Luca Franceschini , Davide Ancona , Ekaterina Komendantskaya

A language is dense if the set of all infixes (or subwords) of the language is the set of all words. Here, it is shown that it is decidable whether the language accepted by a nondeterministic Turing machine with a one-way read-only input…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

There are many types of automata and grammar models that have been studied in the literature, and for these models, it is common to determine whether certain problems are decidable. One problem that has been difficult to answer throughout…

Formal Languages and Automata Theory · Computer Science 2024-05-20 Oscar H. Ibarra , Ian McQuillan

We provide syntactic derivative-like operations, defined by recursion on regular expressions, in the styles of both Brzozowski and Antimirov, for trace closures of regular languages. Just as the Brzozowski and Antimirov derivative…

Formal Languages and Automata Theory · Computer Science 2019-08-12 Hendrik Maarand , Tarmo Uustalu

This thesis investigates three biologically inspired operations: prefix-suffix duplication, bounded prefix-suffix duplication, and prefix-suffix-square completion. Duplication, a common genetic mutation, involves repeating DNA sequences and…

Data Structures and Algorithms · Computer Science 2025-09-30 Marius Dumitran

A deterministic finite automaton is directable if it has a directing word which takes the automaton from every state to the same state. These notions have been extended also to other kinds of automata. Thus, B.~Imreh and M.~Steinby (1999)…

Formal Languages and Automata Theory · Computer Science 2021-03-02 Magnus Steinby

Given an order of the underlying alphabet we can lift it to the states of a finite deterministic automaton: to compare states we use the order of the strings reaching them. When the order on strings is the co-lexicographic one \emph{and}…

Formal Languages and Automata Theory · Computer Science 2022-03-24 Giovanna D'Agostino , Davide Martincigh , Alberto Policriti

Context free languages allow one to express data with hierarchical structure, at the cost of losing some of the useful properties of languages recognized by finite automata on words. However, it is possible to restore some of these…

Formal Languages and Automata Theory · Computer Science 2015-11-03 Eryk Kopczynski

The deterministic membership problem for timed automata asks whether the timed language given by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. An analogous problem can be stated in the setting of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We study counting-regular languages -- these are languages $L$ for which there is a regular language $L'$ such that the number of strings of length $n$ in $L$ and $L'$ are the same for all $n$. We show that the languages accepted by…

Formal Languages and Automata Theory · Computer Science 2019-03-11 Oscar H. Ibarra , Ian McQuillan , Bala Ravikumar

We apply decision tree induction to the problem of discourse clue word sense disambiguation with a genetic algorithm. The automatic partitioning of the training set which is intrinsic to decision tree induction gives rise to linguistically…

cmp-lg · Computer Science 2008-02-03 Eric V. Siegel , Kathleen R. McKeown

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

Formal Languages and Automata Theory · Computer Science 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

Transformers have recently been shown to be capable of reliably performing logical reasoning over facts and rules expressed in natural language, but abductive reasoning - inference to the best explanation of an unexpected observation - has…

Computation and Language · Computer Science 2022-03-24 Nathan Young , Qiming Bao , Joshua Bensemann , Michael Witbrock

While most modern speech Language Identification methods are closed-set, we want to see if they can be modified and adapted for the open-set problem. When switching to the open-set problem, the solution gains the ability to reject an audio…

Computation and Language · Computer Science 2022-05-24 Mustafa Eyceoz , Justin Lee , Homayoon Beigi

A Wheeler automaton is a finite state automaton whose states admit a total Wheeler order, reflecting the co-lexicographic order of the strings labeling source-to-node paths. A Wheeler language is a regular language admitting an accepting…

Formal Languages and Automata Theory · Computer Science 2023-12-19 Ruben Becker , Davide Cenzato , Sung-Hwan Kim , Bojana Kodric , Alberto Policriti , Nicola Prezza
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