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A constructive semantics for non‐deducibility
Author(s) -
Ciraulo Francesco
Publication year - 2008
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200710026
Subject(s) - constructive , predicate (mathematical logic) , mathematics , semantics (computer science) , binary number , discrete mathematics , theoretical computer science , algebra over a field , pure mathematics , computer science , programming language , arithmetic , process (computing)
This paper provides a constructive topological semantics for non‐deducibility of a first order intuitionistic formula. Formal topology theory, in particular the recently introduced notion of a binary positivity predicate, and co‐induction are two needful tools. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)