The expressive power of revised Datalog on problems with closure properties
Shiguang Feng
Abstract
Open-access reader
Shiguang Feng
Abstract
Open-access reader
In this paper, we study the expressive power of revised Datalog on the problems that are closed under substructures. We show that revised Datalog cannot define all the problems that are in PTIME and closed under substructures. As a corollary, LFP cannot define all the extension-closed problems that are in PTIME.
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In this paper, we study the expressive power of revised Datalog on the problems that are closed under substructures. We show that revised Datalog cannot define all the problems that are in PTIME and closed under substructures. As a corollary, LFP cannot define all the extension-closed problems that are in PTIME.
Key concepts: Datalog, P, Corollary, Closure (psychology), Expressive power, Extension (predicate logic), Power (physics), Computer science