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In this paper we consider a nondeterministic computation by deterministic multi-head 2-way automata having a read-only access to an auxiliary memory. The memory contains additional data (a guess) and computation is successful iff it is…

Computational Complexity · Computer Science 2008-11-18 M. N. Vyalyi

In this paper, we have introduced the deterministic variant of parallel communicating Watson-Crick automata systems. We show that similar to the non-deterministic version, the deterministic version can also recognise some non-regular…

Formal Languages and Automata Theory · Computer Science 2015-07-21 Kingshuk Chatterjee , Kumar Sankar Ray

Altenbernd, Thomas and W\"ohrle have considered in [ATW02] acceptance of languages of infinite two-dimensional words (infinite pictures) by finite tiling systems, with the usual acceptance conditions, such as the B\"uchi and Muller ones,…

Logic · Mathematics 2011-08-03 Olivier Finkel

Regular nested word languages (a.k.a. visibly pushdown languages) strictly extend regular word languages, while preserving their main closure and decidability properties. Previous works have shown that considering languages of 2-nested…

Formal Languages and Automata Theory · Computer Science 2022-08-23 Séverine Fratani , Guillaume Maurras , Pierre-Alain Reynier

One of the fundamental requirements for models of semantic processing in dialogue is incrementality: a model must reflect how people interpret and generate language at least on a word-by-word basis, and handle phenomena such as fragments,…

Computation and Language · Computer Science 2018-11-05 Mehrnoosh Sadrzadeh , Matthew Purver , Julian Hough , Ruth Kempson

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

It is known that 2-state binary and 3-state unary probabilistic finite automata and 2-state unary quantum finite automata recognize uncountably many languages with cutpoints. These results have been obtained by associating each recognized…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Aleksejs Naumovs , Maksims Dimitrijevs , Abuzer Yakaryılmaz

We investigate learning collections of languages from texts by an inductive inference machine with access to the current datum and a bounded memory in form of states. Such a bounded memory states (BMS) learner is considered successful in…

Formal Languages and Automata Theory · Computer Science 2021-06-18 Timo Kötzing , Karen Seidel

Determinantal point processes (DPPs) are well known models for diverse subset selection problems, including recommendation tasks, document summarization and image search. In this paper, we discuss a greedy deterministic adaptation of k-DPP.…

Machine Learning · Computer Science 2021-05-31 Joachim Schreurs , Michaël Fanuel , Johan A. K. Suykens

Programs with dynamic allocation are able to create and use an unbounded number of fresh resources, such as references, objects, files, etc. We propose History-Register Automata (HRA), a new automata-theoretic formalism for modelling such…

Programming Languages · Computer Science 2017-01-11 Radu Grigore , Nikos Tzevelekos

As an alternative to visibly pushdown automata, we introduce visibly recursive automata (VRAs), composed of a set of classical automata that can call each other. VRAs are a strict extension of so-called systems of procedural automata, a…

Formal Languages and Automata Theory · Computer Science 2026-05-12 Kévin Dubrulle , Véronique Bruyère , Guillermo A. Pérez , Gaëtan Staquet

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

The reachability problem in 3-dimensional vector addition systems with states (3-VASS) is known to be PSpace-hard, and to belong to Tower. We significantly narrow down the complexity gap by proving the problem to be solvable in…

Formal Languages and Automata Theory · Computer Science 2025-04-29 Wojciech Czerwiński , Ismaël Jecker , Sławomir Lasota , Łukasz Orlikowski

Automata for unordered unranked trees are relevant for defining schemas and queries for data trees in Json or Xml format. While the existing notions are well-investigated concerning expressiveness, they all lack a proper notion of…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Adrien Boiret , Vincent Hugot , Joachim Niehren , Ralf Treinen

A computational engine applied to different representations of the same data can produce different discrete outcomes, with some representations preserving the result and others changing it entirely. A decision-valued map records which…

Artificial Intelligence · Computer Science 2026-02-13 Gil Raitses

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

Formal Languages and Automata Theory · Computer Science 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

We give extensional and intensional characterizations of functional programs with nondeterminism: as structure preserving functions between biorders, and as nondeterministic sequential algorithms on ordered concrete data structures which…

Logic in Computer Science · Computer Science 2023-06-22 James Laird

In this paper, we study arbitrary infinite binary information systems each of which consists of an infinite set called universe and an infinite set of two-valued functions (attributes) defined on the universe. We consider the notion of a…

Computational Complexity · Computer Science 2023-11-30 Kerven Durdymyradov , Mikhail Moshkov

In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field…

Logic in Computer Science · Computer Science 2012-10-10 Domenico Cantone , Cristiano Longo

We consider the model of pushdown vector addition systems with resets. These consist of vector addition systems that have access to a pushdown stack and have instructions to reset counters. For this model, we study the coverability problem.…

Formal Languages and Automata Theory · Computer Science 2022-05-12 Sylvain Schmitz , Georg Zetzsche