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» Modal logic and invariance
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AISC
1998
Springer
13 years 11 months ago
Bertrand Russell, Herbrand's Theorem, and the Assignment Statement
While propositional modal logic is a standard tool, first-order modal logic is not. Indeed, it is not generally understood that conventional first-order syntax is insufficiently ex...
Melvin Fitting
APAL
2005
154views more  APAL 2005»
13 years 6 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema
DLOG
2007
13 years 9 months ago
Modal Logic Applied to Query Answering and the Case for Variable Modalities
We present a query answering technique based on notions and results from modal Correspondence Theory. It allows us to answer a wide family of conjunctive queries by polynomial redu...
Evgeny Zolin
KI
2008
Springer
13 years 6 months ago
Shallow Models for Non-iterative Modal Logics
Abstract. Modal logics see a wide variety of applications in artificial intelligence, e.g. in reasoning about knowledge, belief, uncertainty, agency, defaults, and relevance. From ...
Lutz Schröder, Dirk Pattinson
IJCAI
1997
13 years 8 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