The renaming problem in shared memory systems: An introduction
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 …
distributed computability are among the most exciting research areas of distributed …
[HTML][HTML] A topological perspective on distributed network algorithms
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 …
distributed fault-tolerant algorithms in shared memory systems and in message passing …
Tight bounds for k-set agreement
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 …
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 …
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 …
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 …
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 …
must choose unique output names taken from a smaller name space, 0, 1,…, K. To rule out …
A generalized asynchronous computability theorem
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 …
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 …
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 …
information networks endowed with additional structure in the form of assignments of …