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» Theory Interpretation in Simple Type Theory
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CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 5 months ago
Refinement Types for Logical Frameworks and Their Interpretation as Proof Irrelevance
Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for...
William Lovas, Frank Pfenning
JAPLL
2008
79views more  JAPLL 2008»
13 years 5 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
CLIMA
2010
13 years 7 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
TABLEAUX
2009
Springer
14 years 9 days ago
Terminating Tableaux for the Basic Fragment of Simple Type Theory
base types and disallows lambda abstractions and quantifiers. We show that this fragment has the finite model property and that satisfiability can be decided with a terminating ...
Chad E. Brown, Gert Smolka