David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Even though it is not very often admitted, partial functions do play a significant role in many practical applications of deduction systems. Kleene has already given a semantic account of partial functions using three-valued logic decades ago, but there has not been a satisfactory mechanization. Recent years have seen a thorough investigation of the framework of many-valued truth-functional logics. However, strong Kleene logic, where quantification is restricted and therefore not truthfunctional, does not fit the framework directly. We solve this problem by applying recent methods from sorted logics. This paper presents a resolution calculus that combines the proper treatment of partial functions with the efficiency of sorted calculi
|Keywords||No keywords specified (fix it)|
|Categories||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
William M. Farmer (1990). A Partial Functions Version of Church's Simple Theory of Types. Journal of Symbolic Logic 55 (3):1269-1291.
Robert Boyer, The Addition of Bounded Quantification and Partial Functions to a Computational Logic and its Theorem Prover.
G. Longo & E. Moggi (1984). The Hereditary Partial Effective Functionals and Recursion Theory in Higher Types. Journal of Symbolic Logic 49 (4):1319-1332.
Anthony Robinson (1989). Equational Logic of Partial Functions Under Kleene Equality: A Complete and an Incomplete Set of Rules. Journal of Symbolic Logic 54 (2):354-362.
H. Andréka, W. Craig & I. Németi (1988). A System of Logic for Partial Functions Under Existence-Dependent Kleene Equality. Journal of Symbolic Logic 53 (3):834-839.
William M. Farmer & Joshua D. Guttman (2000). A Set Theory with Support for Partial Functions. Studia Logica 66 (1):59-78.
William M. Farmer (1995). Reasoning About Partial Functions with the Aid of a Computer. Erkenntnis 43 (3):279 - 294.
Added to index2009-04-20
Total downloads71 ( #56,668 of 1,790,003 )
Recent downloads (6 months)6 ( #140,142 of 1,790,003 )
How can I increase my downloads?