Abstract
In this paper we show that the stability condition on the functions in the coherence space model of linear logic [2] can be removed by making use of category-theoretical notions based on semi-functors [3] rather than on ordinary functors. The resulting “non-stable” model of linear logic is somewhat more simple to describe than the coherence space model and, in particular, the unit of times and par do have distinguished interpretations in the former model. The “extensionalization” of the various non-stable models described in this paper yield various categories of domains.
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Hoofman, R. (1992). Non-stable models of linear logic. In: Nerode, A., Taitslin, M. (eds) Logical Foundations of Computer Science — Tver '92. LFCS 1992. Lecture Notes in Computer Science, vol 620. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023875
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DOI: https://doi.org/10.1007/BFb0023875
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