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» On modal logic of deductive closure
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APAL
2006
89views more  APAL 2006»
13 years 5 months ago
On modal logic of deductive closure
A new modal logic D is introduced. It describes properties of provability by interpreting modality as a deductive closure operator on sets of formulas. Logic D is proven to be dec...
Pavel Naumov
AML
2002
131views more  AML 2002»
13 years 4 months ago
Fuzzy logic, continuity and effectiveness
Abstract. It is shown the complete equivalence between the theory of continuous (enumeration) fuzzy closure operators and the theory of (effective) fuzzy deduction systems in Hilbe...
Loredana Biacino, Giangiacomo Gerla
IJCAI
1997
13 years 6 months ago
A Set-Theoretic Approach to Automated Deduction in Graded Modal Logics
In the paper, we consider the problem of supporting automated reasoning in a large class of knowledge representation formalisms, including terminological and epistemic logics, who...
Angelo Montanari, Alberto Policriti
IGPL
2002
85views more  IGPL 2002»
13 years 4 months ago
Fibring Modal First-Order Logics: Completeness Preservation
Fibring is defined as a mechanism for combining logics with a firstorder base, at both the semantic and deductive levels. A completeness theorem is established for a wide class of...
Amílcar Sernadas, Cristina Sernadas, Albert...
ADBIS
2005
Springer
124views Database» more  ADBIS 2005»
13 years 10 months ago
On Modal Deductive Databases
We present a query language called MDatalog, which is an extension of Datalog for multimodal deductive databases. We define modal relational algebras and give the seminaive evalua...
Linh Anh Nguyen