## Paper: Model-checking Trace Event Structures (at LICS 2003)

**Parthasarathy Madhusudan**

### Abstract

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 first-order 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 structures, and when restricted to a sequential setting, can express the standard logic CTL* over trees.

### BibTeX

@InProceedings{Madhusudan-ModelcheckingTraceE, author = {Parthasarathy Madhusudan}, title = {Model-checking Trace Event Structures}, booktitle = {Proceedings of the Eighteenth Annual IEEE Symposium on Logic in Computer Science (LICS 2003)}, year = {2003}, month = {June}, pages = {371--380}, location = {Ottawa, Canada}, publisher = {IEEE Computer Society Press} }