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ACS
2005
13 years 7 months ago
Relating Categorical Semantics for Intuitionistic Linear Logic
There are several kinds of linear typed calculus in the literature, some with their associated notion of categorical model. Our aim in this paper is to systematise the relationshi...
Maria Emilia Maietti, Paola Maneggia, Valeria de P...
ACS
2004
13 years 7 months ago
One Setting for All: Metric, Topology, Uniformity, Approach Structure
For a complete lattice V which, as a category, is monoidal closed, and for a suitable Setmonad T we consider (T, V)-algebras and introduce (T, V)-proalgebras, in generalization of...
Maria Manuel Clementino, Dirk Hofmann, Walter Thol...
ACS
2002
13 years 7 months ago
Categorical Abstract Algebraic Logic: Algebraizable Institutions
cal Abstract Algebraic Logic: Algebraizable Institutions To Don Pigozzi this work is dedicated GEORGE VOUTSADAKIS Department of Mathematics, Iowa State University, Ames, IA 50011 U...
George Voutsadakis
ACS
2007
13 years 7 months ago
Algebra and Geometry of Rewriting
We present various results of the last twenty years converging towards a homotopical theory of computation. This new theory is based on two crucial notions : polygraphs (introduce...
Yves Lafont
ACS
2007
13 years 7 months ago
Choiceless, Pointless, but not Useless: Dualities for Preframes
We provide the appropriate common ‘(pre)framework’ for various central results of domain theory and topology, like the Lawson duality of continuous domains, the Hofmann–Lawso...
Marcel Erné