David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Applied Non-Classical Logics 9 (4):455-477 (1999)
ABSTRACT This paper introduces a multi-valued variant of higher-order resolution and proves it correct and complete with respect to a variant of Henkin's general model semantics. This resolution method is parametric in the number of truth values as well as in the particular choice of the set of connectives (given by arbitrary truth tables) and even substitutional quantifiers. In the course of the completeness proof we establish a model existence theorem for this logical system. The work reported in this paper provides a basis for developing higher-order mechanizations for many non-classical logics
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Christoph Benzmüller (2002). Comparing Approaches to Resolution Based Higher-Order Theorem Proving. Synthese 133 (1-2):203 - 235.
A. Avron (2009). Multi-Valued Semantics: Why and How. Studia Logica 92 (2):163 - 182.
Grigori Mints (1993). Resolution Calculus for the First Order Linear Logic. Journal of Logic, Language and Information 2 (1):59-83.
Walter A. Carnielli (1987). Systematization of Finite Many-Valued Logics Through the Method of Tableaux. Journal of Symbolic Logic 52 (2):473-493.
Christoph Benzmüller, Chad E. Brown & Michael Kohlhase (2004). Higher-Order Semantics and Extensionality. Journal of Symbolic Logic 69 (4):1027 - 1088.
Added to index2009-04-20
Total downloads7 ( #188,579 of 1,103,010 )
Recent downloads (6 months)3 ( #120,820 of 1,103,010 )
How can I increase my downloads?