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We intend to create new concepts aimed at finding necessary and sufficient conditions for Boolean satisfiability so that these conditions can be verified in polynomial time. Based on these conditions it will be possible to create an…

Computational Complexity · Computer Science 2023-11-07 Stepan Margaryan

In decentralized supervisory control, several local supervisors cooperate to accomplish a common goal (specification). Controllability and coobservability are the key conditions to achieve a specification in the controlled system. We…

Optimization and Control · Mathematics 2017-11-15 Jan Komenda , Tomáš Masopust

Answering complex questions often requires multi-step reasoning in order to obtain the final answer. Most research into decompositions of complex questions involves open-domain systems, which have shown success in using these decompositions…

Computation and Language · Computer Science 2022-12-21 Kangda Wei , Dawn Lawrie , Benjamin Van Durme , Yunmo Chen , Orion Weller

In automated complexity analysis, noninterference-based type systems statically guarantee, via soundness, the property that well-typed programs compute functions of a given complexity class, e.g., the class FP of functions computable in…

Logic in Computer Science · Computer Science 2024-01-29 Emmanuel Hainry , Bruce M. Kapron , Jean-Yves Marion , Romain Péchoux

The infimal prefix-closed, controllable and observable superlanguage plays an essential role in the relationship between controllability, observability and co-observability -- the central notions of supervisory control theory. Existing…

Systems and Control · Computer Science 2017-03-16 Tomáš Masopust

We give a strongly polynomial time algorithm which determines whether or not a bivariate polynomial is real stable. As a corollary, this implies an algorithm for testing whether a given linear transformation on univariate polynomials…

Data Structures and Algorithms · Computer Science 2016-10-04 Prasad Raghavendra , Nick Ryder , Nikhil Srivastava

We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an algebra of constraints. That is, one recovers a proof…

Logic in Computer Science · Computer Science 2023-10-20 Alexander V. Gheorghiu , David J. Pym

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

Artificial Intelligence · Computer Science 2013-04-05 Hung-Trung Nguyen

We study the complexity of deciding whether a modular discrete event system is detectable (resp. opaque, A-diagnosable). Detectability arises in the state estimation of discrete event systems, opacity is related to the privacy and security…

Systems and Control · Computer Science 2017-10-10 Tomáš Masopust , Xiang Yin

This paper presents a mathematical framework for characterizing state blocking in discrete event systems (DES) under transition deletions. We introduce a path-based analysis approach that determines whether systems maintain non-blocking…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Md Nur-A-Adam Dony

This paper investigates connections between discrete and continuous approaches for decomposable submodular function minimization. We provide improved running time estimates for the state-of-the-art continuous algorithms for the problem…

Machine Learning · Computer Science 2017-03-07 Alina Ene , Huy L. Nguyen , László A. Végh

Constraint Satisfaction Problem on finite sets is known to be NP-complete in general but certain restrictions on the constraint language can ensure tractability. It was proved that if a constraint language has a weak near unanimity…

Computational Complexity · Computer Science 2019-03-07 Dmitriy Zhuk

Linear logical frameworks with subexponentials have been used for the specification of among other systems, proof systems, concurrent programming languages and linear authorization logics. In these frameworks, subexponentials can be…

Logic · Mathematics 2019-10-09 Max Kanovich , Stepan Kuznetsov , Vivek Nigam , Andre Scedrov

Recently, we have proposed two complementary approaches, top-down and bottom-up, to multilevel supervisory control of discrete-event systems. In this paper, we compare and combine these approaches. The combined approach has strong features…

Optimization and Control · Mathematics 2016-08-07 Jan Komenda , Tomáš Masopust , Jan H. van Schuppen

Distributed systems are critical to reliable and scalable computing; however, they are complicated in nature and prone to bugs. To modularly manage this complexity, network middleware has been traditionally built in layered stacks of…

Programming Languages · Computer Science 2020-04-06 Jeremiah Griffin , Mohsen Lesani , Narges Shadab , Xizhe Yin

This paper extends a polynomial-time parsing algorithm that resolves structural ambiguity in input to a speech-based user interface by calculating and comparing the denotations of rival constituents, given some model of the interfaced…

Computation and Language · Computer Science 2007-05-23 William Schuler

This is the latest in a series of articles aimed at exploring the relationship between the complexity classes of P and NP. In the previous papers, we have proved that the sat CNF problem is polynomially reduced to the problem of finding a…

Computational Complexity · Computer Science 2023-11-01 Stepan G. Margaryan

In this paper we study the problem of predictability in partially observable discrete event systems, i.e., the question whether an observer can predict the occurrence of a fault. We extend the definition of predictability to consider the…

Systems and Control · Computer Science 2015-08-05 Alban Grastien

There is a subset of computational problems that are computable in polynomial time for which an existing algorithm may not complete due to a lack of high performance technology on a mission field. We define a subclass of deterministic…

Optimization and Control · Mathematics 2018-08-30 Venkat R. Dasari , Mee Seong Im , Billy Geerhart

Group languages are regular languages recognized by finite groups, or equivalently by finite automata in which each letter induces a permutation on the set of states. We investigate the separation problem for this class of languages: given…

Formal Languages and Automata Theory · Computer Science 2023-05-01 Thomas Place , Marc Zeitoun