Universität Bremen  
  FB 3  
  Group BKB > Publications > Search > Deutsch
English
 

Publications Search - Details

 
Publication type: Article in Proceedings
Author: Till Mossakowski, Joseph Goguen, Razvan Diaconescu, Andrzej Tarlecki
Editor: Jean-Yves Beziau
Title: What is a Logic? (revised version)
Book / Collection title: Logica Universalis
Page(s): 111 – 133
Number: second edition
Year published: 2007
Publisher: Birkhäuser
Abstract: This paper builds on the theory of institutions, a version of abstract model theory that emerged in computer science studies of software specification and semantics. To handle proof theory, our institutions use an extension of traditional categorical logic with sets of sentences as objects instead of single sentences, and with morphisms representing proofs as usual. A natural equivalence relation on institutions is defined such that its equivalence classes are logics. Several invariants are defined for this equivalence, including a Lindenbaum algebra construction, its generalization to a Lindenbaum category construction that includes proofs, and model cardinality spectra; these are used in some examples to show logics inequivalent. Generalizations of familiar results from first order to arbitrary logics are also discussed, including Craig interpolation and Beth definability.
Internet: http://dx.doi.org/10.1007/978-3-7643-8354-1_7
PDF Version: http://www.informatik.uni-bremen.de/~till/papers/07-nel.pdf
Status: Reviewed
Last updated: 01. 02. 2008

 Back to result list
 
   
Author: Automatically generated page
 
  Group BKB 
Last updated: May 9, 2023   impressum