3 research outputs found
Untyping Typed Algebras and Colouring Cyclic Linear Logic
- Author
- A. Wille
- D. Kozen
- D. Kozen
- D. Krob
- D. Yetter
- Damien Pous
- G. Bellin and A. Fleury
- G. Bellin and P. Scott
- H. Doornbos R. Backhouse, and J. van de
- H. Ono and Y. Komori
- Helmut Veith
- J. Lambek
- J.-M. Andreoli
- J.-Y. Girard
- M. Okada and K. Terui
- M. Pentus
- N. Dojer
- N. Galatos P. Jipsen, T. Kowalski, and
- P. Higgins
- P. Jipsen
- R. Adams
- R. Diaconescu
- R. Hindley
- R. Milner
- T. Mossakowski
- V. Redko
- Publication venue
- 'Logical Methods in Computer Science e.V.'
- Publication date
- 01/01/2011
- Field of study
We prove "untyping" theorems: in some typed theories (semirings, Kleene
algebras, residuated lattices, involutive residuated lattices), typed equations
can be derived from the underlying untyped equations. As a consequence, the
corresponding untyped decision procedures can be extended for free to the typed
settings. Some of these theorems are obtained via a detour through fragments of
cyclic linear logic, and give rise to a substantial optimisation of standard
proof search algorithms.Comment: 21
Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA
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- R. J
- Travasso F.
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2018
- Field of study
We present possible observing scenarios for the Advanced LIGO, Advanced Virgo and KAGRA gravitational-wave detectors over the next decade, with the intention of providing information to the astronomy community to facilitate planning for multi-messenger astronomy with gravitational waves. We estimate the sensitivity of the network to transient gravitational-wave signals, and study the capability of the network to determine the sky location of the source. We report our findings for gravitational-wave transients, with particular focus on gravitational-wave signals from the inspiral of binary neutron star systems, which are the most promising targets for multi-messenger astronomy. The ability to localize the sources of the detected signals depends on the geographical distribution of the detectors and their relative sensitivity, and 90% credible regions can be as large as thousands of square degrees when only two sensitive detectors are operational. Determining the sky position of a significant fraction of detected signals to areas of 5– 20 deg2 requires at least three detectors of sensitivity within a factor of ∼2 of each other and with a broad frequency bandwidth. When all detectors, including KAGRA and the third LIGO detector in India, reach design sensitivity, a significant fraction of gravitational-wave signals will be localized to a few square degrees by gravitational-wave observations alone
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- Publication venue
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- Publication date
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- Field of study