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» The Calculus of Algebraic Constructions
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FLOPS
2004
Springer
14 years 3 months ago
Complete Axiomatization of an Algebraic Construction of Graphs
This paper presents a complete (infinite) axiomatization for an algebraic construction of graphs, in which a finite fragment denotes the class of graphs with bounded tree width.
Mizuhito Ogawa
FOCM
2007
54views more  FOCM 2007»
13 years 9 months ago
Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions
We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
Evelyne Hubert, Irina A. Kogan
IJCAI
1993
13 years 11 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
FOSSACS
2000
Springer
14 years 1 months ago
Constructive Data Refinement in Typed Lambda Calculus
A new treatment of data refinement in typed lambda calculus is proposed, phrased in terms of pre-logical relations [HS99] rather than logical relations, and incorporating a constru...
Furio Honsell, John Longley, Donald Sannella, Andr...
TAPSOFT
1987
Springer
14 years 1 months ago
Induction Principles Formalized in the Calculus of Constructions
The Calculus of Constructions is a higher-order formalism for writing constructive proofs in a natural deduction style, inspired from work of de Bruijn [2, 3], Girard [12], Martin...
Gérard P. Huet