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Michaelmas Term 2003 J. M. E. Hyland Linear Algebra: ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/2ndla03.pdf12 Aug 2008: . 1 0 3 01 3 1 20 0 1 01 2 1 1. ... 1. 11. Consider the matrix A =. . 1 0 20 1 10 1 0. -
Michaelmas Term 2003 J. M. E. Hyland Linear Algebra: ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/4thla03.pdf12 Aug 2008: 20. Prove Hadamard’s Inequality: if A is a real n n matrix with |aij| k, then. | -
Michaelmas Term 2003 J. M. E. Hyland Linear Algebra: ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/3rdla03.pdf12 Aug 2008: . . . 20. Let P2 = P2(x,y) be the space of polynomials in x,y of degree 2 in each variable. -
A Term Calculus for Intuitionistic Linear LogicNick Benton1, Gavin ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdphtlca93.pdf27 Aug 2008: Samson Abramsky. Computational interpretations of linear logic. Technical Report90/20, Department of Computing, Imperial College, London, October 1990.2. -
Abstra t Games for Linear Logi Extended Abstra t ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/hs99.pdf22 Aug 2008: 20. If theexponential omonad on C is entral, then both the loose ategory G(?)(C)and the tight ategory G?(C) are models for lassi al linear logi. ... CUP, 1995.[20 P.-H. Chu. -Autonomous ategories, hapter Constru ting -autonomous ategories. -
Topological GroupsPart III, Spring 2008 T. W. Körner March ...
https://www.dpmms.cam.ac.uk/~twk10/Topg.pdf8 Mar 2008: 20. 9 Characters. Recall that a character θ on a commutative Banach algebra B is non-zerolinear functional θ : B C such that θ(ab) = θ(a)θ(b) for all -
THE CARTESIAN CLOSED BICATEGORY OFGENERALISED SPECIES OF STRUCTURES…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2008/fghw08.pdf19 Aug 2008: Applications are discussed in Section 6. The construction leading to the Kleisli bicategory of generalised speciesis analogous to the construction of the relational model of linear logic [20].This model can ... Winskel, Two-dimensional Kleisli struc-tures -
Variations on Realizability: Realizing the Propositional Axiom of…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/vor02.pdf13 Aug 2008: 21This analysis appears in Beeson [2]. 20. Logic in Computer Science, pages 188–198. ... Rosolini, editors, Category Theory, pages 131–156.Springer-Verlag, 1991. 21. [20] J. M. -
Abstract and ConcreteModels for Recursion Martin HYLANDDPMMS, CMS,…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2008/acmr08.pdf22 Jan 2008: We refer the reader to [1], to [2] and to [20]for the basic mathematical theory. ... This situation is discussed in detail in [20], but for completeness we give asketch here. -
Categorical Proof Theory of Classical PropositionalCalculus Gianluigi …
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2006/bhru06.pdf18 Aug 2008: The cyclic choiceof order may be familiarfrom non-commutative linear logic (Ruet [20]). ... 20. identifications. This gives a groupoid enriched functorSAut : Poly! Aut and agroupoid enriched adjunctionSAut a SPoly. -
K0 AND THE DIMENSION FILTRATION FOR p-TORSIONIWASAWA MODULES…
https://www.dpmms.cam.ac.uk/~sjw47/rankskzero.pdf20 Feb 2008: 20 KONSTANTIN ARDAKOV AND SIMON WADSLEY. 10. Some special cases. 10.1. ... Proof. This follows from Corollary 8.2. 10.2. A localisation sequence. Consider the localisation sequence of K-theory[20, Theorem 5.5] for the Serre subcategory Fi of the abelian -
mlics.dvi
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/hs02.pdf13 Aug 2008: Theoretical Computer Science,20:265–321, 1982. [3] P.-L. Curien. Categorical Combinators, Sequential Algo-rithms and Functional Programming. -
doi:10.1016/j.entcs.2006.04.024
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2006/hnpr06.pdf18 Aug 2008: DD as a retract of D [20]. One obtains such a category by taking the Cauchy. ... LDPL 1996,Mathematical Structures in Computer Science 7 (1997) 453–468. [20] D.S. -
TRANSACTIONS OF THEAMERICAN MATHEMATICAL SOCIETYVolume 00, Number 0,…
https://www.dpmms.cam.ac.uk/~taf1000/papers/pfaffians.pdf16 Jul 2008: n1)/2i=1 ai)x. (n1)/20. Since the ai are non-zero this Pfaffian is non-zero. -
Linear �-Calculus and Categorical ModelsRevisitedNick Benton1, Gavin…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/bbdphcsl93.pdf27 Aug 2008: Computational interpretations of linear logic. Technical Report90/20, Department of Computing, Imperial College, London, October 1990.2. -
Linear �-Calculus and Categorical ModelsRevisitedNick Benton1, Gavin…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdphcsl93.pdf27 Aug 2008: Computational interpretations of linear logic. Technical Report90/20, Department of Computing, Imperial College, London, October 1990.2. -
Proof Theory in the Abstract J. M. E. Hyland ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/pta02.pdf13 Aug 2008: Thusformally we have. A = ((U X) α(u,φ(u))7U). 20. which we interpret by means of the formulae. ... before. Since the above describes the maps in the category RDill there is indeed anassociative composition.20. -
Term Assignment for Intuitionistic Linear Logic�(Preliminary…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/bbdph92.pdf27 Aug 2008: Term Assignment for Intuitionistic Linear Logic(Preliminary Report)Nick Benton Gavin Bierman Valeria de PaivaComputer LaboratoryUniversity of Cambridgefpnb,gmb,vcvpg@cl.cam.ac.ukMartin HylandDepartment of Pure Mathematics and Mathematical -
Michaelmas Term 2003 J. M. E. Hyland Linear Algebra: ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/1stla03.pdf12 Aug 2008: 20. An n n magic square is a square matrix whose rows, columns and two diagonals all sum to the samequantity. -
Term Assignment for Intuitionistic Linear Logic�(Preliminary…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdph92.pdf27 Aug 2008: Term Assignment for Intuitionistic Linear Logic(Preliminary Report)Nick Benton Gavin Bierman Valeria de PaivaComputer LaboratoryUniversity of Cambridgefpnb,gmb,vcvpg@cl.cam.ac.ukMartin HylandDepartment of Pure Mathematics and Mathematical
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