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We provide a constraint based computational model of linear precedence as employed in the HPSG grammar formalism. An extended feature logic which adds a wide range of constraints involving precedence is described. A sound, complete and…

cmp-lg · Computer Science 2016-08-31 Suresh Manandhar

Since language processing systems generally allocate/discard memory with complex reference relationships, including circular and indirect references, their implementation is often not trivial. Here, the allocated memory and the references…

Programming Languages · Computer Science 2021-03-30 Jin Sano

We present semantic correctness proofs of forward-mode Automatic Differentiation (AD) for languages with sources of partiality such as partial operations, lazy conditionals on real parameters, iteration, and term and type recursion. We…

Programming Languages · Computer Science 2024-05-28 Matthijs Vákár

A class of languages C is perfect if it is closed under Boolean operations and the emptiness problem is decidable. Perfect language classes are the basis for the automata-theoretic approach to model checking: a system is correct if the…

Formal Languages and Automata Theory · Computer Science 2012-08-28 Javier Esparza , Pierre Ganty , Rupak Majumdar

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 learning algorithms for increasingly complex types of automata…

Formal Languages and Automata Theory · Computer Science 2017-06-27 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

This paper describes a method for converting formulas in finite propositional linear-time temporal logic (Finite LTL) into finite-state automata whose languages are the models of the given formula. Finite LTL differs from traditional LTL in…

Logic in Computer Science · Computer Science 2020-06-23 Samuel Huang , Rance Cleaveland

This thesis is devoted to the study of a calculus that describes the application of conditional rewriting rules and the obtained results at the same level of representation. We introduce the rewriting calculus, also called the rho-calculus,…

Symbolic Computation · Computer Science 2007-05-23 Horatiu Cirstea

We observe that the various formulations of the operational semantics of Constraint Handling Rules proposed over the years fall into a spectrum ranging from the analytical to the pragmatic. While existing analytical formulations facilitate…

Logic in Computer Science · Computer Science 2010-07-23 Hariolf Betz , Frank Raiser , Thom Frühwirth

Autonomous driving has made significant strides through data-driven techniques, achieving robust performance in standardized tasks. However, existing methods frequently overlook user-specific preferences, offering limited scope for…

Robotics · Computer Science 2025-05-13 Chengkai Xu , Jiaqi Liu , Yicheng Guo , Yuhang Zhang , Peng Hang , Jian Sun

We explore language semantics for automata combining probabilistic and nondeterministic behavior. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that…

Formal Languages and Automata Theory · Computer Science 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva

Let W~ be an affine Weyl group, and let C be a left, right, or two-sided Kazhdan--Lusztig cell in W~. Let Reduced (C) be the set of all reduced expressions of elements of C, regarded as a formal language in the sense of the theory of…

Group Theory · Mathematics 2008-09-05 Paul E. Gunnells

Determinization of fuzzy finite automata is understood here as a procedure of their conversion into equivalent crisp-deterministic fuzzy automata, which can be viewed as being deterministic with possibly infinitely many states, but with…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Ivana Micić , Zorana Jančić , Jelena Ignjatović , Miroslav Ćirić

The characterisation of termination using well-founded monotone algebras has been a milestone on the way to automated termination techniques, of which we have seen an extensive development over the past years. Both the semantic…

Logic in Computer Science · Computer Science 2015-07-01 Joerg Endrullis , Roel de Vrijer , Johannes Waldmann

The application of rule-based reinforcement learning (RL) to multimodal large language models (MLLMs) introduces unique challenges and potential deviations from findings in text-only domains, particularly for perception-heavy tasks. This…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Zifu Wang , Junyi Zhu , Bo Tang , Zhiyu Li , Feiyu Xiong , Jiaqian Yu , Matthew B. Blaschko

A quantitative word automaton (QWA) defines a function from infinite words to values. For example, every infinite run of a limit-average QWA A obtains a mean payoff, and every word w is assigned the maximal mean payoff obtained by…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Thomas A. Henzinger , Pavol Kebis , Nicolas Mazzocchi , N. Ege Saraç

In relational verification, judicious alignment of computational steps facilitates proof of relations between programs using simple relational assertions. Relational Hoare logics (RHL) provide compositional rules that embody various…

Logic in Computer Science · Computer Science 2023-07-21 Anindya Banerjee , Ramana Nagasamudram , David A. Naumann

Automata learning has many applications in artificial intelligence and software engineering. Central to these applications is the $L^*$ algorithm, introduced by Angluin. The $L^*$ algorithm learns deterministic finite-state automata (DFAs)…

Machine Learning · Computer Science 2025-11-18 Sebastian Hagedorn , Martín Muñoz , Cristian Riveros , Rodrigo Toro Icarte

The states of a deterministic finite automaton A can be identified with collections of words in Pf(L(A)) -- the set of prefixes of words belonging to the regular language accepted by A. But words can be ordered and among the many possible…

Formal Languages and Automata Theory · Computer Science 2021-06-07 Giovanna D'Agostino , Nicola Cotumaccio , Alberto Policriti , Nicola Prezza

We study structural restrictions on biautomata such as, e.g., acyclicity, permutation-freeness, strongly permutation-freeness, and orderability, to mention a few. We compare the obtained language families with those induced by deterministic…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Markus Holzer , Sebastian Jakobi

We propose a new extension of higher-order pushdown automata, which allows to use an infinite alphabet. The new automata recognize languages of data words (instead of normal words), which beside each its letter from a finite alphabet have a…

Formal Languages and Automata Theory · Computer Science 2012-10-10 Paweł Parys