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» Towards Constructive Homological Algebra in Type Theory
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CALCO
2007
Springer
86views Mathematics» more  CALCO 2007»
14 years 1 months ago
Bootstrapping Types and Cotypes in HasCASL
We discuss the treatment of initial datatypes and final process types in the wide-spectrum language HasCASL. In particular, we present specifications that illustrate how datatype...
Lutz Schröder
ENTCS
2002
128views more  ENTCS 2002»
13 years 7 months ago
Rewriting Calculus with(out) Types
The last few years have seen the development of a new calculus which can be considered as an outcome of the last decade of various researches on (higher order) term rewriting syst...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori
TPHOL
2005
IEEE
14 years 1 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
POPL
2003
ACM
14 years 8 months ago
Pure patterns type systems
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
Gilles Barthe, Horatiu Cirstea, Claude Kirchner, L...
ICIP
2001
IEEE
14 years 9 months ago
Synthesis and applications of lattice image operators based on fuzzy norms
In this paper we use concepts from the lattice-based theory of morphological operators and fuzzy sets to develop generalized lattice image operators that can be expressed as nonli...
Petros Maragos, Vassilis Tzouvaras, Giorgos B. Sta...