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» Combining Logics in Simple Type Theory
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CLIMA
2010
13 years 6 months ago
Combining Logics in Simple Type Theory
Simple type theory is suited as framework for combining classical and non-classical logics. This claim is based on the observation that various prominent logics, including (quantif...
Christoph Benzmüller
HOA
1993
13 years 8 months ago
Theory Interpretation in Simple Type Theory
Theory interpretation is a logical technique for relating one axiomatic theory to another with important applications in mathematics and computer science as well as in logic itself...
William M. Farmer
JAPLL
2008
79views more  JAPLL 2008»
13 years 4 months ago
The seven virtues of simple type theory
Simple type theory, also known as higher-order logic, is a natural extension of first-order logic which is simple, elegant, highly expressive, and practical. This paper surveys th...
William M. Farmer
IGPL
2010
82views more  IGPL 2010»
13 years 3 months ago
Multimodal and intuitionistic logics in simple type theory
Christoph Benzmüller, Lawrence C. Paulson
CADE
2006
Springer
14 years 5 months ago
Combining Type Theory and Untyped Set Theory
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Chad E. Brown