61 search results - page 1 / 13 » Towards Constructive Homological Algebra in Type Theory |
MKM
2007
Springer
13 years 11 months ago
2007
Springer
This paper reports on ongoing work on the project of representing the Kenzo system [15] in type theory [11].
COMBINATORICS
2004
13 years 4 months ago
2004
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
TPHOL
1999
IEEE
13 years 9 months ago
1999
IEEE
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
SOSL
1993
13 years 9 months ago
1993
In this paper we study automatic veri cation of proofs in process algebra. Formulas of process algebra are represented by types in typed -calculus. Inhabitants (terms) of these ty...
ICALP
2004
Springer
13 years 10 months ago
2004
Springer
The impact of types on the algebraic theory of the π-calculus is studied. The type system has capability types. They allow one to distinguish between the ability to read from a c...