%0 Conference Proceedings %T Tracing the Man in the Middle in Monoidal Categories %+ Royal Holloway [University of London] (RHUL) %+ University of Twente %A Pavlovic, Dusko %< avec comité de lecture %( Lecture Notes in Computer Science %B 11th International Workshop on Coalgebraic Methods in Computer Science (CMCS) %C Tallinn, Estonia %Y Dirk Pattinson %Y Lutz Schröder %I Springer %3 Coalgebraic Methods in Computer Science %V LNCS-7399 %P 191-217 %8 2012-03-31 %D 2012 %R 10.1007/978-3-642-32784-1_11 %Z Computer Science [cs]Conference papers %X Man-in-the-Middle (MM) is not only a ubiquitous attack pattern in security, but also an important paradigm of network computation and economics. Recognizing ongoing MM-attacks is an important security task; modeling MM-interactions is an interesting task for semantics of computation. Traced monoidal categories are a natural framework for MM-modelling, as the trace structure provides a tool to hide what happens in the middle. An effective analysis of what has been traced out seems to require an additional property of traces, called normality. We describe a modest model of network computation, based on partially ordered multisets (pomsets), where basic network interactions arise from the monoidal trace structure, and a normal trace structure arises from an iterative, i.e. coalgebraic structure over terms and messages used in computation and communication. The correspondence is established using a convenient monadic description of normally traced monoidal categories. %G English %2 https://inria.hal.science/hal-01539882/document %2 https://inria.hal.science/hal-01539882/file/978-3-642-32784-1_11_Chapter.pdf %L hal-01539882 %U https://inria.hal.science/hal-01539882 %~ IFIP-LNCS %~ IFIP %~ IFIP-CMCS %~ IFIP-LNCS-7399 %~ IFIP-ETAPS