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» Constructing Induction Rules for Deductive Synthesis Proofs
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CORR
2006
Springer
99views Education» more  CORR 2006»
14 years 11 months ago
Inductive types in the Calculus of Algebraic Constructions
In a previous work, we proved that almost all of the Calculus of Inductive Constructions (CIC), the basis of the proof assistant Coq, can be seen as a Calculus of Algebraic Constru...
Frédéric Blanqui
LPNMR
2009
Springer
15 years 6 months ago
A Deductive System for FO(ID) Based on Least Fixpoint Logic
Abstract. The logic FO(ID) uses ideas from the field of logic programming to extend first order logic with non-monotone inductive definitions. The goal of this paper is to exten...
Ping Hou, Marc Denecker
KRDB
1996
123views Database» more  KRDB 1996»
15 years 1 months ago
Flexible Query-Answering Systems Modelled in Metalogic Programming
Metaprogramming adds new expressive power to logic programming which can be advantageous to transfer to the field of deductive databases. We propose metaprogramming as a way to mo...
Troels Andreasen, Henning Christiansen
ENTCS
2010
92views more  ENTCS 2010»
14 years 11 months ago
Two Ways to Common Knowledge
It is not clear what a system for evidence-based common knowledge should look like if common knowledge is treated as a greatest fixed point. This paper is a preliminary step towar...
Samuel Bucheli, Roman Kuznets, Thomas Studer
CSL
2007
Springer
15 years 5 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin