%0 Journal Article %T Parameterised Multiparty Session Types %A Pierre-Malo Denielou %A Nobuko Yoshida %A Andi Bejleri %A Raymond Hu %J Computer Science %D 2012 %I arXiv %R 10.2168/LMCS-8(4:6)2012 %X For many application-level distributed protocols and parallel algorithms, the set of participants, the number of messages or the interaction structure are only known at run-time. This paper proposes a dependent type theory for multiparty sessions which can statically guarantee type-safe, deadlock-free multiparty interactions among processes whose specifications are parameterised by indices. We use the primitive recursion operator from G\"odel's System T to express a wide range of communication patterns while keeping type checking decidable. To type individual distributed processes, a parameterised global type is projected onto a generic generator which represents a class of all possible end-point types. We prove the termination of the type-checking algorithm in the full system with both multiparty session types and recursive types. We illustrate our type theory through non-trivial programming and verification examples taken from parallel algorithms and Web services usecases. %U http://arxiv.org/abs/1208.6483v3