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HOA
1993
14 years 3 days 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
1998
Springer
82views Education» more  CORR 1998»
13 years 7 months ago
Tractability of Theory Patching
In this paper we consider the problem of theory patching, in which we are given a domain theory, some of whose components are indicated to be possibly awed, and a set of labeled t...
Shlomo Argamon-Engelson, Moshe Koppel
FROCOS
2007
Springer
14 years 2 months ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans
TPHOL
1996
IEEE
14 years 5 days ago
Synthetic Domain Theory in Type Theory: Another Logic of Computable Functions
We will present a Logic of Computable Functions based on the idea of Synthetic Domain Theory such that all functions are automatically continuous. Its implementation in the Lego pr...
Bernhard Reus
ENTCS
2008
128views more  ENTCS 2008»
13 years 8 months ago
Towards Formalizing Categorical Models of Type Theory in Type Theory
This note is about work in progress on the topic of "internal type theory" where we investigate the internal formalization of the categorical metatheory of constructive ...
Alexandre Buisse, Peter Dybjer