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» Theory Interpretation in Simple Type Theory
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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
CORR
2002
Springer
99views Education» more  CORR 2002»
13 years 4 months ago
Intersection Types and Lambda Theories
We illustrate the use of intersection types as a semantic tool for showing properties of the lattice of -theories. Relying on the notion of easy intersection type theory we succes...
Mariangiola Dezani-Ciancaglini, Stefania Lusin
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 5 months ago
A Minimal Propositional Type Theory
Propositional type theory, first studied by Henkin, is the restriction of simple type theory to a single base type that is interpreted as the set of the two truth values. We show ...
Mark Kaminski, Gert Smolka
TPHOL
2007
IEEE
13 years 11 months ago
Simple Types in Type Theory: Deep and Shallow Encodings
Abstract. We present a formal treatment of normalization by evaluation in type theory. The involved semantics of simply-typed λ-calculus is exactly the simply typed fragment of th...
François Garillot, Benjamin Werner
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