AFFINE APPLICATIONS IN OPERATIVE SPACES

TitleAFFINE APPLICATIONS IN OPERATIVE SPACES
Publication TypeJournal Article
Year of Publication2005
AuthorsZashev J
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume97
KeywordsAlgebraic recursion theory, combinatory logic, linear logic
Abstract

We prove a new normal form theorem for a special kind of expressible mappings in operative spaces with iteration. As a consequence, this provides a large class of models for the type-free implicative linear logic and a natural connection between operative spaces and the systems of algebraic recursion theory based on the linear or affine application which were studied previously.

2000 MSC

main 03D75, 03B40, secondary 03B47, 68N18

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