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» Multimodal and intuitionistic logics in simple type theory
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PLPV
2009
ACM
14 years 2 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
TYPES
2007
Springer
13 years 11 months ago
Dependently Sorted Logic
Abstract. We propose syntax and semantics for systems of intuitionistic and classical first order dependently sorted logic, with and withlity, retaining type dependency, but other...
João Filipe Belo
BIRTHDAY
2010
Springer
13 years 5 months ago
Verifying the Modal Logic Cube Is an Easy Task (For Higher-Order Automated Reasoners)
Prominent logics, including quantified multimodal logics, can be elegantly embedded in simple type theory (classical higher-order logic). Furthermore, off-the-shelf reasoning syste...
Christoph Benzmüller
HOA
1993
13 years 9 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
TLCA
2007
Springer
13 years 11 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek