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Aula 19 -- Facoltà Lettere e Filosofia -- Università Roma Tre
Abstract
In a previous work, we introduced a framework for the proof nets of the multiplicative fragment of Linear Logic, where partially sequentialised nets are allowed. In this seminar we extend this result to include additives, using a deï¬nition of proof nets, called J-proof nets, which is the typed version of the L-nets of Faggian and Maurel.
In J-proof nets, we can characterize nets with different degrees of sequentiality, by gradual insertion of sequentiality constraints (jumps). As a byproduct, we obtain a simple proof of the sequentialisation theorem.
AUla 12, Facoltà Lettere e Filosofia, Università Roma Tre
Abstract
We propose a translation of a pi-calculus without sums nor replication/recursion into an untyped and essentially promotion-free version of differential interaction nets. We define a transition system of labeled processes and a transition system of labeled differential interaction nets. We prove that our translation from processes to nets is a bisimulation between these two transition systems. This shows that differential interaction nets are sufficiently expressive for representing concurrency and mobility, as formalized by the pi-calculus.
Nelle scienze contemporanee ha acquisito un ruolo centrale il concetto di interazione tra processi (biologici, fisici, informatici, etc…). Da parte sua, la logica si è rinnovata attraverso il dialogo con l’informatica, proponendosi come una teoria generale dell’interazione. Inizialmente confinata agli ambienti più tecnici, questa problematica si sta estendendo a indagini filosofiche, promuovendo un approccio alternativo all’epistemologia del novecento, reimpostando il legame tra la logica e le scienze. Il recente convegno di Logica, Scienze e Filosofia che si è tenuto a Cerisy Âla ÂSalle (settembre 2006), ha posto in modo programmatico questa apertura della logica al mondo Presentazione e discussione a cura di:
JeanÂBaptiste Joinet (UFR de Philosophie, Univ. Paris 1)
Vito Michele Abrusci (Dip. Filosofia, Univ. Roma Tre)
Facoltà di Lettere e Filosofia Università Roma Tre
Descrizione
In occasione della discussione delle tesi di dottorato di Michele Pagani e Gabriele Pulcini, si terrà un incontro di studio di logica matematica, filosofia e informatica.
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