The renaming problem in shared memory systems: An introduction

A Castañeda, S Rajsbaum, M Raynal - Computer Science Review, 2011 - Elsevier
Exploring the power of shared memory communication objects and models, and the limits of
distributed computability are among the most exciting research areas of distributed …

[HTML][HTML] A topological perspective on distributed network algorithms

A Castañeda, P Fraigniaud, A Paz, S Rajsbaum… - Theoretical Computer …, 2021 - Elsevier
More than two decades ago, combinatorial topology was shown to be useful for analyzing
distributed fault-tolerant algorithms in shared memory systems and in message passing …

Tight bounds for k-set agreement

S Chaudhuri, M Erlihy, NA Lynch… - Journal of the ACM (JACM), 2000 - dl.acm.org
We prove tight bounds on the time needed to solve k-set agreement. In this problem, each
processor starts with an arbitrary input value taken from a fixed set, and halts after choosing …

[PDF][PDF] Towards a topological characterization of asynchronous complexity

G Hoest, N Shavit - Proceedings of the sixteenth annual ACM symposium …, 1997 - dl.acm.org
Towards a topological characterization of asynchronous complexity Page 1 Towards a
Topological Characterization of Asynchronous Complexity (Preliminary Version) Gunnar Hoest …

The combinatorial structure of wait-free solvable tasks

H Attiya, S Rajsbaum - SIAM Journal on Computing, 2002 - SIAM
This paper presents a self-contained study of wait-free solvable tasks. A new necessary
condition for wait-free solvability, based on a restricted set of executions, is proved. This set …

New combinatorial topology bounds for renaming: the lower bound

A Castañeda, S Rajsbaum - Distributed Computing, 2010 - Springer
In the renaming task n+ 1 processes start with unique input names taken from a large space
and must choose unique output names taken from a smaller name space, 0, 1,..., K. To rule …

New combinatorial topology bounds for renaming: The upper bound

A Castañeda, S Rajsbaum - Journal of the ACM (JACM), 2012 - dl.acm.org
In the renaming task, n+ 1 processes start with unique input names from a large space and
must choose unique output names taken from a smaller name space, 0, 1,…, K. To rule out …

A generalized asynchronous computability theorem

E Gafni, P Kuznetsov, C Manolescu - … of the 2014 ACM symposium on …, 2014 - dl.acm.org
We consider the models of distributed computation defined as subsets of the runs of the
iterated immediate snapshot model. Given a task T and a model M, we provide topological …

The topology of shared-memory adversaries

M Herlihy, S Rajsbaum - Proceedings of the 29th ACM SIGACT-SIGOPS …, 2010 - dl.acm.org
Failure patterns in modern parallel and distributed system are not necessarily uniform. The
notion of an adversary scheduler is a natural way to extend the classical wait-free and t …

Homotopy theoretic and categorical models of neural information networks

Y Manin, M Marcolli - Compositionality, 2024 - compositionality.episciences.org
In this paper we develop a novel mathematical formalism for the modeling of neural
information networks endowed with additional structure in the form of assignments of …