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» A Sequent Calculus for Type Theory
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CORR
2006
Springer
131views Education» more  CORR 2006»
13 years 5 months ago
Intensional Models for the Theory of Types
In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...
Reinhard Muskens
CADE
2006
Springer
14 years 5 months ago
Cut-Simulation in Impredicative Logics
Abstract. We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus ...
Christoph Benzmüller, Chad E. Brown, Michael ...
IJCAI
1993
13 years 6 months ago
A Language for Implementing Arbitrary Logics
SEQUEL is a new-generation functional programming language, which allows the specification of types in a notation based on the sequent calculus. The sequent calculus notation suff...
Mark Tarver
ENTCS
2010
91views more  ENTCS 2010»
13 years 5 months ago
A Unified Display Proof Theory for Bunched Logic
We formulate a unified display calculus proof theory for the four principal varieties of bunched logic by combining display calculi for their component logics. Our calculi satisfy...
James Brotherston
CSL
2004
Springer
13 years 10 months ago
Abstract Interpretation of Proofs: Classical Propositional Calculus
Interpretation of Proofs: Classical Propositional Calculus Martin Hyland DPMMS, Centre for Mathematical Sciences, University of Cambridge, England Representative abstract interpret...
Martin Hyland