The purpose of this paper is to consider a representation of the HOL theorem-prover in the calculus of constructions with the property that consistency results from the calculus of constructions imply such results in HOL. This kind of representation is impossible using the propositions-as-types repr
✦ LIBER ✦
Topological Constructions in the o–Graph Calculus
✍ Scribed by Fabian J. Theis
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 303 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Benedetti and Petronio developed in [1] a so called o-Graph Calculus, where a compact oriented 3-manifold with nonempty boundary could be described by a quadrivalent graph together with some extra structure. In this paper, we will show how topological constructions such as puncturing, connected sums, attaching handles, closing boundary components and product and mapping tori constructions can be translated into the o-graph calculus.
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