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» Multimodal and intuitionistic 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
IGPL
2010
82views more  IGPL 2010»
13 years 3 months ago
Multimodal and intuitionistic logics in simple type theory
Christoph Benzmüller, Lawrence C. Paulson
LICS
2002
IEEE
13 years 9 months ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson
TYPES
2000
Springer
13 years 8 months ago
Collection Principles in Dependent Type Theory
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic ru...
Peter Aczel, Nicola Gambino
ICFP
2003
ACM
14 years 4 months ago
An effective theory of type refinements
We develop an explicit two level system that allows programmers to reason about the behavior of effectful programs. The first level is an ordinary ML-style type system, which conf...
Yitzhak Mandelbaum, David Walker, Robert Harper