4 problems
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Rozoy–Thiagarajan's nice labeling conjecture for event structures
Let an event structure be a partially ordered structure with a conflict relation, and let its degree be the maximum number of events concurrent with any event. A nice labeling assi…
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Thiagarajan's finite 1-safe Petri-net characterization conjecture
Let be an event structure, and let denote the event-structure unfolding arising from a finite 1-safe Petri net . Thiagarajan's finite 1-safe Petr…
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Homological-dimension conjecture for asynchronous transition systems
An asynchronous transition system is a concurrent-process model equipped with events and an independence relation; its homological dimension is the largest degree in which its asso…
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Equivalence of higher-dimensional automata and history-dependent automata up to history-preserving bisimilarity
A higher-dimensional automaton (HDA) is a model for concurrency based on labeled precubical sets, while a history-dependent automaton is a formalism introduced by Montanari and Pis…