A researcher explores compositional theory for self-stabilizing systems by adapting parametric assume-guarantee contracts from control theory. Using a retry storm model, they reframe conditional contracts into parameterized families covering all system states, moving beyond layered approaches while acknowledging limitations in expressing memory-dependent components like queues.
Shift Up revealed a Switch 2 version of Stellar Blade at Tokyo Game Show and announced free Bayonetta-inspired DLC costumes arriving November 5th for all platforms. The developer indicated the original game remains unfinished with planned updates tied to the upcoming sequel Stellar Blade: Blood Rain.
Mathematicians have proven the 'sandwich conjecture,' a 2004 hypothesis that any sufficiently large graph can be mathematically sandwiched between two simpler graphs. This breakthrough, completed in 2025 by three mathematicians, shows that random binomial graphs and more complex regular graphs are connected through a unified random process, allowing difficult properties of regular graphs to be derived from simpler binomial graphs.
Mathematicians proved in 2025 that any sufficiently large graph can be sandwiched between two simpler graphs, a conjecture posed in 2004 that connects two different types of random graph structures. This breakthrough demonstrates that random binomial graphs and random regular graphs are related in a deeper way, allowing difficult properties of regular graphs to be proven through their simpler counterparts.