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query: SELECT sid FROM sessions WHERE sid = 'jmlq32sl6nsjhsg250in55neq7' in /var/www/church/includes/database.mysql.inc on line 121 Gruppo di Logica e Geometria della Cognizione
Dipartimento di Matematica e Fisica, Aula 311, Palazzina C
Abstract
There is a well-known correspondence between formulas and cographs, which are unoriented graphs containing no chordless paths of length 3. The aim of this talk is to shape a proof system operating on general graphs instead of formulas. In such a proof system, we lose the tree structure of formulas corresponding to cographs. As a consequence, we can no longer use the standard proof theoretical methods relying on the tree structure of formulas: for instance, we are not able to identify the main connective of a formula.
Thanks to graphs modular decomposition and some techniques from deep inference, we are able to define a proof system with admissible cut rule and which is a conservative extension of MLL with mix.
This talk is based on a joint work with Ross Horne and Lutz Strassburger.
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