Tata Institute of Fundamental Research

LocPastPDL: An expressively complete logic over Mazurkiewicz traces and its applications to concurrency theory

STCS Student Seminar
Speaker: Shantanu Kulkarni (IIT Bombay)
Organiser: Pranshu Gaba, Shibashis Guha
Date: Friday, 8 Nov 2024, 16:00 to 17:00
Venue: A-201 (STCS Seminar Room)

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Abstract: 

This talk is based on our work in LiCS 2024: https://dl.acm.org/doi/abs/10.1145/3661814.3662110. In the talk I will first introduce the setting of concurrent computation via asynchronous automata on Mazurkiewikz traces, I will then get into the syntax and semantics of our logic “LocPastPDL”. I will talk about its applications for formal verification of concurrent systems and for proving a Krohn-Rhodes style decomposition theorem for regular languages over Mazurkiewicz traces. Finally if time permits I will go into the proof sketch of our main result which is ‘LocPastPDL is expressively complete with respect to regular trace languages.’