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» Approximations of Modal Logic K
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LOGCOM
2002
124views more  LOGCOM 2002»
13 years 7 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
JSYML
2002
170views more  JSYML 2002»
13 years 7 months ago
Representability in Second-Order Propositional Poly-Modal Logic
A propositional system of modal logic is second-order if it contains quantifiers p and p, which, in the standard interpretation, are construed as ranging over sets of possible worl...
Gian Aldo Antonelli, Richmond H. Thomason
JSYML
2007
85views more  JSYML 2007»
13 years 7 months ago
Lower bounds for modal logics
We give an exponential lower bound on number of proof-lines in the proof system K of modal logic, i.e., we give an example of K-tautologies 1, 2, . . . s.t. every K-proof of i must...
Pavel Hrubes
AAAI
2007
13 years 9 months ago
Prime Implicates and Prime Implicants in Modal Logic
The purpose of this paper is to extend the notions of prime implicates and prime implicants to the basic modal logic K. We consider a number of different potential definitions of...
Meghyn Bienvenu
APLAS
2007
ACM
13 years 11 months ago
Call-by-Name and Call-by-Value in Normal Modal Logic
Abstract. This paper provides a call-by-name and a call-by-value calculus, both of which have a Curry-Howard correspondence to the minimal normal logic K. The calculi are extension...
Yoshihiko Kakutani