David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Logic, Language and Information 14 (3):263-279 (2005)
Some initial motivations for the Guarded Fragment still seem of interest in carrying its program further. First, we stress the equivalence between two perspectives: (a) satisfiability on standard models for guarded first-order formulas, and (b) satisfiability on general assignment models for arbitrary first-order formulas. In particular, we give a new straightforward reduction from the former notion to the latter. We also show how a perspective shift to general assignment models provides a new look at the fixed-point extension LFP(FO) of first-order logic, making it decidable. Next, we relate guarded syntax to earlier quantifier restriction strategies for achieving effective axiomatizability in second-order logic – pointing at analogies with ‘persistent’ formulas, which are essentially in the Bounded Fragment of many-sorted first-order logic. Finally, we look at some further unexplored directions, including the systematic use of ‘quasi-models’ as a semantics by itself.
|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
Alexander Paseau (2010). Pure Second-Order Logic with Second-Order Identity. Notre Dame Journal of Formal Logic 51 (3):351-360.
Savas Konur (2011). An Event-Based Fragment of First-Order Logic Over Intervals. Journal of Logic, Language and Information 20 (1):49-68.
Stål O. Aanderaa, Egon Börger & Harry R. Lewis (1982). Conservative Reduction Classes of Krom Formulas. Journal of Symbolic Logic 47 (1):110-130.
Natasha Alechina (1995). On a Decidable Generalized Quantifier Logic Corresponding to a Decidable Fragment of First-Order Logic. Journal of Logic, Language and Information 4 (3):177-189.
Balder ten Cate & Massimo Franceschet (2005). Guarded Fragments with Constants. Journal of Logic, Language and Information 14 (3):281-288.
Stéphane Demri & Hans De Nivelle (2005). Deciding Regular Grammar Logics with Converse Through First-Order Logic. Journal of Logic, Language and Information 14 (3):289-329.
Balder ten Cate & Massimo Franceschet (2005). Guarded Fragments with Constants. Journal of Logic 14 (3):281-288.
Eva Hoogland & Maarten Marx (2002). Interpolation and Definability in Guarded Fragments. Studia Logica 70 (3):373 - 409.
Erich Grädel (1999). On the Restraining Power of Guards. Journal of Symbolic Logic 64 (4):1719-1742.
Added to index2009-01-28
Total downloads2 ( #373,004 of 1,140,267 )
Recent downloads (6 months)1 ( #142,694 of 1,140,267 )
How can I increase my downloads?