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LOGCOM
2002
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8 years 5 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
8 years 7 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
8 years 9 months 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
8 years 9 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
CADE
1999
Springer
8 years 9 months 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
books