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We prove that the quiver problem is NP complete.

Representation Theory · Mathematics 2025-08-06 Victor Kac , Bangzheng Li

We investigate the complexity of a puzzle that turns out to be NL-complete.

Computational Complexity · Computer Science 2015-07-13 Holger Petersen

We claim to resolve the P=?NP problem via a formal argument for P=NP.

Computational Complexity · Computer Science 2007-05-23 Selmer Bringsjord , Joshua Taylor

We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.

Group Theory · Mathematics 2014-03-27 O. Kharlampovich , I. G. Lysenok , A. G Myasnikov , N. W. M. Touikan

We give an elementary proof of a somewhat curious result, namely, that deciding whether a convex function is self-concordant is in general an intractable problem.

Optimization and Control · Mathematics 2013-04-01 Lek-Heng Lim

The $P$ versus $NP$ problem is still unsolved. But there are several oracles with $P$ unequal $NP$ relative to them. Here we will prove, that $P\not=NP$ relative to a $P$-complete oracle. In this paper, we use padding arguments as the proof…

Computational Complexity · Computer Science 2023-05-04 Reiner Czerwinski

We show that the decision versions of the puzzles Knossos and The Hour-Glass are complete for NP.

Computational Complexity · Computer Science 2015-08-03 Holger Petersen

It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing that if a set of clauses is unsatisfiable, then it must have a…

Logic in Computer Science · Computer Science 2017-01-11 Jean Gallier

In this note we introduce a notion of a generically (strongly generically) NP-complete problem and show that the randomized bounded version of the halting problem is strongly generically NP-complete.

Computational Complexity · Computer Science 2016-06-06 Alexei Miasnikov , Alexander Ushakov

This article presents a general solution to the problem of computational complexity. First, it gives a historical introduction to the problem since the revival of the foundational problems of mathematics at the end of the 19th century.…

Computational Complexity · Computer Science 2023-12-25 Rami Zaidan

We upgrade [1] to a complete proof of the conjecture NP = PSPACE. [1]: L. Gordeev, E. H. Haeusler, Proof Compression and NP Versus PSPACE, Studia Logica (107) (1): 55-83 (2019)

Logic in Computer Science · Computer Science 2022-01-11 Lev Gordeev

We introduce a new decision problem, called Packed Interval Covering (PIC) and show that it is NP-complete.

Computational Complexity · Computer Science 2019-06-11 Abdallah Saffidine , Sébastien Lê Cong , Sophie Pinchinat , François Schwarzentruber

We initiate the study of the complexity-theoretic properties of convex logics in team semantics. We focus on the extension of classical propositional logic with the nonemptiness atom NE, a logic known to be both convex and union closed. We…

Logic in Computer Science · Computer Science 2026-05-25 Aleksi Anttila , Juha Kontinen , Fan Yang

We study the satisfiability problem for a modal logic expressing knowing-how assertions, which captures an agent's ability to achieve a given goal under the standard semantics based on linear plans. Our main result shows that satisfiability…

Logic in Computer Science · Computer Science 2026-05-20 Carlos Areces , Pablo Barceló , Valentin Cassano , Pablo F. Castro , Stéphane Demri , Raul Fervari

We prove that it is NP-complete to decide whether a given (3-dimensional) simplicial complex is collapsible. This work extends a result of Malgouyres and Franc\'{e}s showing that it is NP-complete to decide whether a given simplicial…

Computational Geometry · Computer Science 2015-10-08 Martin Tancer

Computational complexity of the design problem for a network with a target value of Region-Based Component Decomposition Number (RBCDN) has been proven to be NP-complete.

Computational Complexity · Computer Science 2010-12-13 Sujogya Banerjee , Shahrzad Shirazipourazad , Pavel Ghosh , Arunabha Sen

Results of computational complexity exist for a wide range of phrase structure-based grammar formalisms, while there is an apparent lack of such results for dependency-based formalisms. We here adapt a result on the complexity of…

cmp-lg · Computer Science 2008-02-03 Peter Neuhaus , Norbert Broeker

We present a propositional logic to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization…

Artificial Intelligence · Computer Science 2014-08-08 Joseph Y. Halpern , Riccardo Pucella

The $\textbf{P}$ vs. $\textbf{NP}$ problem is an important problem in contemporary mathematics and theoretical computer science. Many proofs have been proposed to this problem. This paper proposes a theoretic proof for $\textbf{P}$ vs.…

Computational Complexity · Computer Science 2020-07-02 Changlin Wan , Zhongzhi Shi

The purpose of this article is to examine and limit the conditions in which the P complexity class could be equivalent to the NP complexity class. Proof is provided by demonstrating that as the number of clauses in a NP-complete problem…

Computational Complexity · Computer Science 2008-09-07 Jerrald Meek
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