Extending the first-order theory of combinators with self-referential truth
Journal of Symbolic Logic 58 (2):477-513 (1993)
| Abstract | The aim of this paper is to introduce a formal system STW of self-referential truth, which extends the classical first-order theory of pure combinators with a truth predicate and certain approximation axioms. STW naturally embodies the mechanisms of general predicate application/abstraction on a par with function application/abstraction; in addition, it allows non-trivial constructions, inspired by generalized recursion theory. As a consequence, STW provides a smooth inner model for Myhill's systems with levels of implication | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,631 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesM. W. Bunder (2000). Expedited Broda-Damas Bracket Abstraction. Journal of Symbolic Logic 65 (4):1850-1857.
Katalin Bimbó (2003). The Church-Rosser Property in Dual Combinatory Logic. Journal of Symbolic Logic 68 (1):132-152.
Eduardo Alejandro Barrio (2010). Theories of Truth Without Standard Models and Yablo's Sequences. Studia Logica 96 (3):375-391.
Katalin Bimbó (2000). Investigation Into Combinatory Systems with Dual Combinators. Studia Logica 66 (2):285-296.
Volker Halbach (2001). Editorial Introduction. Studia Logica 68 (1):3-20.
Henk Barendregt, Martin Bunder & Wil Dekkers (1993). Systems of Illative Combinatory Logic Complete for First-Order Propositional and Predicate Calculus. Journal of Symbolic Logic 58 (3):769-788.
Theo A. F. Kuipers (2001). Epistemological Positions in the Light of Truth Approximation. The Proceedings of the Twentieth World Congress of Philosophy 2001:79-88.
Lou Goble (2004). Combinator Logics. Studia Logica 76 (1):17 - 66.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads4 ( #178,434 of 548,976 )Recent downloads (6 months)1 ( #63,511 of 548,976 )How can I increase my downloads? |
My notes
Discussion
