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An Intensionally Fully-abstract Sheaf Model for pi Eberhart, Clovis Hirschowitz, Tom Seiller, Thomas concurrency sheaves causal models games Following previous work on CCS, we propose a compositional model for the pi-calculus in which processes are interpreted as sheaves on certain simple sites. We define an analogue of fair testing equivalence in the model and show that our interpretation is intensionally fully abstract for it. That is, the interpretation preserves and reflects fair testing equivalence; and furthermore, any strategy is fair testing equivalent to the interpretation of some process. The central part of our work is the construction of our sites, whose heart is a combinatorial presentation of pi-calculus traces in the spirit of string diagrams. As in previous work, the sheaf condition is analogous to innocence in Hyland-Ong/Nickau games. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Clovis Eberhart and Tom Hirschowitz and Thomas Seiller 2015 Is Part Of LIPIcs, Volume 35, 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CALCO.2015.86 urn:nbn:de:0030-drops-55284 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2015.86 eng https://creativecommons.org/licenses/by/3.0/legalcode