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LOGCOM
2002
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13 years 8 months ago
Modal Logics Between Propositional and First-order
One can add the machinery of relation symbols and terms to a propositional modal logic without adding quantifiers. Ordinarily this is no extension beyond the propositional. But if...
Melvin Fitting
AIML
2008
13 years 10 months ago
A modal perspective on monadic second-order alternation hierarchies
abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy ...
Antti Kuusisto
PODC
1990
ACM
14 years 17 days ago
Half-Order Modal Logic: How to Prove Real-Time Properties
Abstract. We introduce a novel extension of propositional modal logic that is interpreted over Kripke structures in which a value is associated with every possible world. These val...
Thomas A. Henzinger
AISC
1998
Springer
14 years 23 days 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
CADE
1999
Springer
14 years 25 days ago
A PSpace Algorithm for Graded Modal Logic
We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(KR)—a natural extension of propositional modal logic KR by counting expressions—which pl...
Stephan Tobies