5 found
  1.  29
    Full Intuitionistic Linear Logic.Martin Hyland & Valeria de Paiva - 1993 - Annals of Pure and Applied Logic 64 (3):273-291.
    In this paper we give a brief treatment of a theory of proofs for a system of Full Intuitionistic Linear Logic. This system is distinct from Classical Linear Logic, but unlike the standard Intuitionistic Linear Logic of Girard and Lafont includes the multiplicative disjunction par. This connective does have an entirely natural interpretation in a variety of categorical models of Intuitionistic Linear Logic. The main proof-theoretic problem arises from the observation of Schellinx that cut elimination fails outright for an intuitive (...)
    Direct download (5 more)  
    Export citation  
    Bookmark   9 citations  
  2.  86
    Lineales.Martin Hyland & Valeria de Paiva - 1991 - O Que Nos Faz Pensar:107-123.
    The first aim of this note is to describe an algebraic structure, more primitive than lattices and quantales, which corresponds to the intuitionistic flavour of Linear Logic we prefer. This part of the note is a total trivialisation of ideas from category theory and we play with a toy-structure a not distant cousin of a toy-language. The second goal of the note is to show a generic categorical construction, which builds models for Linear Logic, similar to categorical models GC of (...)
    Direct download  
    Export citation  
    Bookmark   2 citations  
  3.  20
    Foreword for Special Issue of APAL for GaLoP 2013.Martin Hyland, Guy McCusker & Nikos Tzevelekos - 2017 - Annals of Pure and Applied Logic 168 (2):233.
  4.  12
    Computability in Europe 2010.Fernando Ferreira, Martin Hyland, Benedikt Löwe & Elvira Mayordomo - 2012 - Annals of Pure and Applied Logic 163 (6):621-622.
  5.  10
    Turing Centenary Conference: How the World Computes.S. Barry Cooper, Anuj Dawar, Martin Hyland & Benedikt Löwe - 2014 - Annals of Pure and Applied Logic 165 (9):1353-1354.