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27 Aug 2008: These 100 cases of cuts we will consider as follows: 40 casesof cuts the form (R; D) as we have 4 right rules and 10 others; 24 cases of cuts ofthe ... There are 24 remainingcuts of interest.We now summarize the cuts of which we need to take some note.

18 Aug 2008: Longo, Set-Theoretical Models of λ-Calculus: Theories, Expansions, Isomorphisms, Ann. Pure Appl.Logic 24 (1983) 153–188.

27 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

27 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

7 Aug 2008: Proof. The correspondences between the first two are in [21, 24]: for any T -algebra r : T R R, the monad map is given by dX (γ) = κ RX 7 ... Proof. To give a T -action on x is equivalent to giving a monad map from T to amodified form of xA(,x) with

13 Aug 2008: A precise connection was given by Hofmann andStreicher [24]. As explained in detail by Selinger [37], RC corresponds to thecall-by-name λµ-calculus, and CR to the call by value. ... 24. 5 Classical Proof. In the previous section I discussed approaches

8 Jan 2008: 24. Theorem 10.6. [Bessel’s inequality] Consider an inner product space V.

1 Feb 2008: 24. 3.3 Singularities and the Laurent expansion; the residuetheorem. Just as a holomorphic function on a disc D(a,r) can be expanded as a series inpowers of (z a),

7 Aug 2008: Example 10. Probabilistic Nondeterminism A computationally natural pre-sentation of a countable Lawvere ω-Cpo-theory for probabilistic nondetermin-ism combined with nontermination [16,22,24,47] can be obtained by

22 Aug 2008: Thus, Berryand Curien introdu ed sequential algorithms over dss [10 (see also Curien's book[24 for a omprehensive introdu tion). ... 11, 23, 57. Curien's book (se ond edition) [24 provides an ex ellent a ountof the main body of resear h inspired by the