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Church’s Set Theory with a Universal Set Thomas Forster ...
https://www.dpmms.cam.ac.uk/~tef10/church2001.pdf7 May 2008: x =V for some n, and of course this cannot happen in ZF. ). ... If w is a molecular term of rank n then, in full generality, it is w′g forsome constant g and some boolean combination w′ of B(zi) for various i. -
Abstract and ConcreteModels for Recursion Martin HYLANDDPMMS, CMS,…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2008/acmr08.pdf22 Jan 2008: It is best to think of what is presented here as another reworking of some basicmaterial. ... To have identities for this composition, weneed to contract some silent actions3 and these actions are insignificant. -
Pseudo-commutative monads and pseudo-closed 2-categories⋆ ⋆⋆ Martin…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/hp02.pdf29 Sep 2008: TµAB? µAB- T (A B). µAB? There may appear to be some redundancy in the definition, and if our commu-tativity is symmetric in the sense of section 3.6, that ... We record some basic properties. Proposition 13. The following equalities hold in T-Alg.(i) -
Complex analysis IB 2007 — lecture notes A J ...
https://www.dpmms.cam.ac.uk/~ajs1005/complex/notes_2006-7.pdf1 Feb 2008: Now fix some w D, choose r > 0 such that D(w,r) D. ... Remark. A function f : U C is said to be analytic if for every a U, f canbe represented by a convergent power series on some B(a,r) U. -
Term Assignment for Intuitionistic Linear Logic�(Preliminary…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/bbdph92.pdf27 Aug 2008: Some thought that this represented a mismatch between the semantics andsyntax of linear logic. ... theory of some basic intuitionistic logic via the notion of a cartesianclosed category. -
Term Assignment for Intuitionistic Linear Logic�(Preliminary…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/bbdph92.pdf27 Aug 2008: Some thought that this represented a mismatch between the semantics andsyntax of linear logic. ... theory of some basic intuitionistic logic via the notion of a cartesianclosed category. -
On full abstra tion for PCF:I. Models, observables and ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/ho00.pdf22 Aug 2008: a model of T (of some unspe ied kind); we write [[ for the interpretation fun tion. ... when [[s is a value in [[P implies s vfor some v with [[s = [[v 2 [[P. -
Machines and Their Languages G51MAL Dick Crouch Semester 2, ...
https://www.dpmms.cam.ac.uk/~tef10/cam_only/crouchnotes.pdf13 May 2008: N.b. some texts use the term alphabet instead of vocabulary, letter insteadof word, and word instead of sentence.). ... Can also have n-tuples: A B. N. Any binary relation R on the members two sets A and B is some subset oftheir Cartesian product:. -
2007 lectures on Set Theory Thomas Forster February 5, ...
https://www.dpmms.cam.ac.uk/~tef10/cam_only/partiii2004.pdf5 Feb 2008: 71.2 Do some ordinals here. 9. 2 Some model theory 112.1 Products. ... Sacks is right—omitting types is hard!First some definitions. DEFINITION 20. 1. -
On full abstra tion for PCF:I. Models, observables and ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/ho00.pdf22 Aug 2008: a model of T (of some unspe ied kind); we write [[ for the interpretation fun tion. ... when [[s is a value in [[P implies s vfor some v with [[s = [[v 2 [[P.
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