Languages of higher dimensional automata and Kleene theorem

Speaker(s)

Krzysztof Ziemiański

Affiliation

UW

Date

Nov. 23, 2021, 4:30 p.m.

Information about the event

zoom : 892 1108 9551 Password - type the number equal to rk(H^2((S^1)^{200};Z))

Seminar

Seminar Algebraic Topology

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Higher dimensional automata (HDA) are a formalism for modeling concurrent systems introduced by Pratt and van Glabbeek. I will present several ways to define languages of HDA, which are collections of interval pomsets closed under subsumption. Then I will define regular interval pomset languages and formulate Kleene theorem for HDA. Finally, I will sketch its proof, which employs some ideas derived from topology and geometry.

(joint work with U. Fahrenberg, C. Johansen, G. Struth)

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