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Clarithmetics are number theories based on computability logic (see http://www.csc.villanova.edu/~japaridz/CL/ ). Formulas of these theories represent interactive computational problems, and their "truth" is understood as existence of an…

Logic in Computer Science · Computer Science 2019-03-14 Giorgi Japaridze

This paper is concerned with the shape invariants satisfied by the communication topology of {\pi}-terms, and the automatic inference of these invariants. A {\pi}-term P is hierarchical if there is a finite forest T such that the…

Programming Languages · Computer Science 2016-04-20 Emanuele D'Osualdo , C. -H. Luke Ong

Detectability describes the property of an system whose current and the subsequent states can be uniquely determined after a finite number of observations. In this paper, we relax detectability to C-detectability that only requires a given…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

Intent classification is a fundamental task in the spoken language understanding field that has recently gained the attention of the scientific community, mainly because of the feasibility of approaching it with end-to-end neural models. In…

Computation and Language · Computer Science 2023-03-14 Mohamed Nabih Ali , Alessio Brutti , Daniele Falavigna

In this paper bounded model checking of asynchronous concurrent systems is introduced as a promising application area for answer set programming. As the model of asynchronous systems a generalisation of communicating automata, 1-safe Petri…

Logic in Computer Science · Computer Science 2007-05-23 Keijo Heljanko , Ilkka Niemelä

Many modern solvers and program analyzers rely on non-monotone reasoning (e.g. negation-as-failure, speculative updates, backtracking) for which classical monotone fixed-point methods do not apply. The general problem of finding the fixed…

Programming Languages · Computer Science 2026-05-11 Abdullah H. Rasheed , Vijay K. Garg

In this paper we use pre existing language support for type modifiers and object capabilities to enable a system for sound runtime verification of invariants. Our system guarantees that class invariants hold for all objects involved in…

Programming Languages · Computer Science 2019-02-28 Isaac Oscar Gariano , Marco Servetto , Alex Potanin

Petri nets are a mathematical language for modeling and reasoning about distributed systems. In this paper we propose an approach to Petri nets for embedding reversibility, i.e., the ability of reversing an executed sequence of operations…

Logic in Computer Science · Computer Science 2020-10-09 Anna Philippou , Kyriaki Psara

For multi-class classification under class-conditional label noise, we prove that the accuracy metric itself can be robust. We concretize this finding's inspiration in two essential aspects: training and validation, with which we address…

Machine Learning · Computer Science 2020-12-09 Pengfei Chen , Junjie Ye , Guangyong Chen , Jingwei Zhao , Pheng-Ann Heng

An object--oriented approach to create a natural language understanding system is considered. The understanding program is a formal system built on the base of predicative calculus. Horn's clauses are used as well--formed formulas. An…

Computation and Language · Computer Science 2013-08-08 Yuriy Ostapov

In the early two-thousands, Recursive Petri nets have been introduced in order to model distributed planning of multi-agent systems for which counters and recursivity were necessary. Although Recursive Petri nets strictly extend Petri nets…

Logic in Computer Science · Computer Science 2023-06-22 Alain Finkel , Serge Haddad , Igor Khmelnitsky

In many complex systems that can be modeled using Petri nets time can be a very important factor which should be taken into account during creation and analysis of the model. Time data can describe starting moments of some actions or their…

Formal Languages and Automata Theory · Computer Science 2024-05-16 Marcin Radom , Piotr Formanowicz

In process management, effective behavior modeling is essential for understanding execution dynamics and identifying potential issues. Two complementary paradigms have emerged in the pursuit of this objective: the imperative approach,…

Logic in Computer Science · Computer Science 2026-02-19 Luca Barbaro , Giovanni Varricchione , Marco Montali , Claudio Di Ciccio

Petri nets proved useful to describe various real-world systems, but many of their properties are very hard to check. To alleviate this difficulty, subclasses are often considered. The class of weighted marked graphs with relaxed place…

Data Structures and Algorithms · Computer Science 2020-05-12 Thomas Hujsa , Bernard Berthomieu , Silvano Dal Zilio , Didier Le Botlan

The uninterpretability of Deep Neural Networks (DNNs) hinders their use in safety-critical applications. Abstract Interpretation-based DNN certifiers provide promising avenues for building trust in DNNs. Unsoundness in the mathematical…

Programming Languages · Computer Science 2025-04-08 Avaljot Singh , Yasmin Chandini Sarita , Charith Mendis , Gagandeep Singh

We prove that $\omega$-languages of (non-deterministic) Petri nets and $\omega$-languages of (non-deterministic) Turing machines have the same topological complexity: the Borel and Wadge hierarchies of the class of $\omega$-languages of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Olivier Finkel , Michał Skrzypczak

Noise mechanisms in quantum systems can be broadly characterized as either coherent (i.e., unitary) or incoherent. For a given fixed average error rate, coherent noise mechanisms will generally lead to a larger worst-case error than…

Quantum Physics · Physics 2019-01-29 Joel J. Wallman , Christopher Granade , Robin Harper , Steven T. Flammia

Acoustic source localization has been applied in different fields, such as aeronautics and ocean science, generally using multiple microphones array data to reconstruct the source location. However, the model-based beamforming methods fail…

Sound · Computer Science 2022-04-01 Guanxing Zhou , Hao Liang , Xinghao Ding , Yue Huang , Xiaotong Tu , Saqlain Abbas

Natural language contexts display logical regularities with respect to substitutions of related concepts: these are captured in a functional order-theoretic property called monotonicity. For a certain class of NLI problems where the…

Computation and Language · Computer Science 2021-05-18 Julia Rozanova , Deborah Ferreira , Mokanarangan Thayaparan , Marco Valentino , André Freitas

A recurrent neural net is described that learns a set of patterns in the presence of noise. The learning rule is of Hebbian type, and, if noise would be absent during the learning process, the resulting final values of the weights would…

Disordered Systems and Neural Networks · Physics 2009-11-07 W A van Leeuwen , B Wemmenhove