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AML
2011
204views Mathematics» more  AML 2011»
15 years 1 months ago
Intermediate Logics and the de Jongh property
We prove that all extensions of Heyting Arithmetic with a logic that has the finite frame property possess the de Jongh property. Dedicated to Petr H´ajek, on the occasion of his...
Dick de Jongh, Rineke Verbrugge, Albert Visser
FCA
2005
Springer
207views Formal Methods» more  FCA 2005»
15 years 12 months ago
From Formal Concept Analysis to Contextual Logic
Abstract. A main goal of Formal Concept Analysis from its very beginning has been the support of rational communication. The source of this goal lies in our understanding of mathem...
Frithjof Dau, Julia Klinger
MPC
2010
Springer
157views Mathematics» more  MPC 2010»
15 years 11 months ago
The Logic of Large Enough
Abstract. In this paper we explore the “for large enough” quantifier, also known as “all but finitely many”, which plays a central role in asymptotic reasoning, as used f...
Eerke A. Boiten, Dan Grundy
ITP
2010
165views Mathematics» more  ITP 2010»
15 years 10 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp
ISIPTA
2005
IEEE
137views Mathematics» more  ISIPTA 2005»
16 years 6 min ago
Basing Probabilistic Logic on Gambles
This article presents a probabilistic logic whose sentences can be interpreted as asserting the acceptability of gambles described in terms of an underlying logic. This probabilis...
Peter R. Gillett, Richard B. Scherl, Glenn Shafer