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» Definability of second order generalized quantifiers
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AML
2010
106views more  AML 2010»
13 years 1 months ago
Definability of second order generalized quantifiers
We study definability of second-order generalized quantifiers. We show that the question whether a second-order generalized quantifier Q1 is definable in terms of another quantifie...
Juha Kontinen
JSYML
2002
170views more  JSYML 2002»
13 years 4 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
FUIN
2010
83views more  FUIN 2010»
13 years 2 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
CSL
2010
Springer
13 years 5 months ago
New Algorithm for Weak Monadic Second-Order Logic on Inductive Structures
We present a new algorithm for model-checking weak monadic second-order logic on inductive structures, a class of structures of bounded clique width. Our algorithm directly manipul...
Tobias Ganzow, Lukasz Kaiser
CADE
2010
Springer
13 years 5 months ago
Automated Synthesis of Induction Axioms for Programs with Second-Order Recursion
In order to support the verification of programs, verification tools such as ACL2 or Isabelle try to extract suitable induction axioms from the definitions of terminating, recursiv...
Markus Aderhold