A Purely Logical Account of Sequentiality in Proof Search

  • Paola Bruscoli
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2401)


A strict correspondence between the proof-search space of a logical formal system and computations in a simple process algebra is established. Sequential composition in the process algebra corresponds to a logical relation in the formal system in this sense our approach is purely logical, no axioms or encodings are involved. The process algebra is a minimal restriction of CCS to parallel and sequential composition; the logical system is a minimal extension of multiplicative linear logic. This way we get the first purely logical account of sequentiality in proof search. Since we restrict attention to a small but meaningful fragment, which is then of very broad interest, our techniques should become a common basis for several possible extensions. In particular, we argue about this work being the first step in a two-step research for capturing most of CCS in a purely logical fashion.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Paola Bruscoli
    • 1
  1. 1.Fakultät InformatikTechnische Universität DresdenDresdenGermany

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