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By using a selective filtration argument, we prove that the satisfiability problem of the unimodal logic of density is in $EXPTIME$. By using a tableau-like approach, we prove that the satisfiability problem of the bimodal logic of weak…

Logic in Computer Science · Computer Science 2025-07-16 Philippe Balbiani , Olivier Gasquet

The assumptions needed to prove Cox's Theorem are discussed and examined. Various sets of assumptions under which a Cox-style theorem can be proved are provided, although all are rather strong and, arguably, not natural.

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern

We analyze the degree-structure induced by large reducibilities under the Axiom of Determinacy. This generalizes the analysis of Borel reducibilities given in references [1], [6] and [5] e.g. to the projective levels.

Logic · Mathematics 2010-03-25 Luca Motto Ros

In this article, we introduce $\omega$-Bach tensor corresponding to one form $\omega$ and correspondingly introduce almost $\omega$-Bach solitons, thereby generalizing the existing notion of Bach tensor and almost Bach solitons. We…

Differential Geometry · Mathematics 2025-06-02 Paritosh Ghosh , Hemangi Madhusudan Shah , Arindam Bhattacharyya

We consider the Bergman space on the complex plane. We prove an analogue of Schwarz's reflection principle for unbounded quasidisks.

Complex Variables · Mathematics 2013-01-29 V. V. Napalkov

We prove Bloch's formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse…

Algebraic Geometry · Mathematics 2021-08-25 Federico Binda , Amalendu Krishna , Shuji Saito

We prove two theorems on cohomologically complete complexes. These theorems are inspired by, and yield an alternative proof of, a recent theorem of P. Schenzel on complete modules.

Commutative Algebra · Mathematics 2014-04-30 Amnon Yekutieli

In this paper we describe all indecomposable two-term partial tilting complexes over a Brauer tree algebra with multiplicity 1 using a criterion for a minimal projective presentation of a module to be a partial tilting complex. As an…

Representation Theory · Mathematics 2013-06-13 Mikhail Antipov , Alexandra Zvonareva

The blob algebra is a finite-dimensional quotient of the Hecke algebra of type $B$ which is almost always quasi-hereditary. We construct the indecomposable tilting modules for the blob algebra over a field of characteristic $0$ in the…

Representation Theory · Mathematics 2019-09-11 Amit Hazi , Paul Martin , Alison Parker

We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories. In particular, we give an explicit construction of the Lie…

Quantum Algebra · Mathematics 2015-12-18 Alberto De Sole , Victor Kac

We develop a (co)algebraic framework to study a family of process calculi with monadic branching structures and recursion operators. Our framework features a uniform semantics of process terms and a complete axiomatisation of semantic…

Logic in Computer Science · Computer Science 2022-07-26 Todd Schmid , Wojciech Rozowski , Alexandra Silva , Jurriaan Rot

In this paper we investigate the third homology of the projective special linear group ${\rm PSL}_2(A)$. As a result of our investigation we prove a projective refined Bloch-Wigner exact sequence over certain class of rings. The projective…

K-Theory and Homology · Mathematics 2025-03-19 Behrooz Mirzaii , Elvis Torres Pérez

We explore possibilities and limitations of a purely topological approach to the Dvoretzky Theorem.

Algebraic Topology · Mathematics 2009-07-30 Dmitri Burago , Sergei Ivanov , Serge Tabachnikov

We discuss Nakamaye's Theorem and its recent extension to compact complex manifolds, together with some applications.

Algebraic Geometry · Mathematics 2019-04-04 Valentino Tosatti

Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.

Dynamical Systems · Mathematics 2017-03-07 Panagiotis Georgopoulos

We establish for smooth projective real curves the equivalent of the classical Clifford inequality known for complex curves. We also study the cases when equality holds.

Algebraic Geometry · Mathematics 2007-05-23 Jean-Philippe Monnier

This paper presents a plausible reasoning system to illustrate some broad issues in knowledge representation: dualities between different reasoning forms, the difficulty of unifying complementary reasoning styles, and the approximate nature…

Artificial Intelligence · Computer Science 2013-03-26 Wray L. Buntine

We study tensors on Lie groupoids suitably compatible with the groupoid structure, called {\em multiplicative}. Our main result gives a complete description of these objects only in terms of infinitesimal data. Special cases include the…

Differential Geometry · Mathematics 2021-09-15 Henrique Bursztyn , Thiago Drummond

We study approximations of theories both in general context and with respect to some natural classes of theories. Some kinds of approximations are considered, connections with finitely axiomatizable theories and minimal generating sets of…

Logic · Mathematics 2019-01-28 Sergey Sudoplatov

We establish a Liouville type theorem for some conformally invariant fully nonlinear equations

Analysis of PDEs · Mathematics 2007-05-23 Aobing Li , YanYan Li