Model-checking Trace Event Structures

Given a regular collection of Mazurkiewicz traces, which can be seen as the behaviours of a finite-state concurrent system, one can associate with it a canonical regular event structure. This event structure is a single (often infinite) structure that captures both the concurrency and conflict information present in the system. We study the problem of model-checking such structures against logics such as firstorder logic (FOL), monadic second-order logic (MSOL) and a new logic that lies in between these two called monadic trace logic (MTL). MTL is a fragment of MSOL where the quantification is restricted to sets that are conflict-free. While it is known that model-checking such event structures against MSOL is undecidable, our main results are that FOL and MTL admit effective model-checking procedures. It turns out that FOL captures previously known decidable temporal logics on event structures. MTL is more powerful and can express interesting branching-time properties of event ...

• Type: Conference
• Year: 2003
• Where: LICS
• Authors: P. Madhusudan
• Keywords: Computer Science, Event Structures, LICS 2003, Logic, Monadic Second-order Logic