# Algebraic K-theory. Proc. Oberwolfach 1980 by R. Keith Dennis PDF

By R. Keith Dennis

ISBN-10: 3540119663

ISBN-13: 9783540119661

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Additional resources for Algebraic K-theory. Proc. Oberwolfach 1980

Example text

Then A is said to abort at x0 iﬀ it might not (equivalently ‘will not’ in the standard (Hoare/Dijkstra) model we adopt) terminate there: (A ✁ x = x0 ✄ abort) = abort . Computation A is said to be enabled at x0 iﬀ it may (equivalently ‘does’) begin there (A ✁ x = x0 ✄ magic) = magic . That inequality is equivalent (in view of Laws (30) and (31)) to the identity (A ✁ x = x0 ✄ magic) o9 abort = (abort ✁ x = x0 ✄ magic) . And computation A is said to terminate at x0 iﬀ it does not abort whenever it is enabled there.

Math. Soc. 50 (1944) 764–768 29. : Pair-dense relation algebras. Trans. Amer. Math. Soc. 328(1) (1991) 83–131 30. 2. W. uk Abstract. We explore the view of a computation as a relational section of a (trivial) ﬁbre bundle: initial states lie in the base of the bundle and ﬁnal states lie in the ﬁbres located at their initial states. This leads us to represent a computation in ‘ﬁbre-form’ as the angelic choice of its behaviours from each initial state. That view is shown to have the advantage also of permitting ﬁnal states to be of diﬀerent types, as might be used for example in a semantics of probabilistic computations, and of providing a natural setting for reﬁnement of computations.

Soc. 35(2) (1933) 557–558 6. : A second correction to: “New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell’s Principia Mathematica” [Trans. Amer. Math. Soc. 35 (1933), no. 1, 274–304; 1501684]. Trans. Amer. Math. Soc. 35(4) (1933) 971 7. : Some varieties containing relation algebras. Trans. Amer. Math. Soc. 272(2) (1982) 501–526 8. : Relation Algebras. Volume 150 of Studies in Logic and the Foundations of Mathematics. Elsevier, Amsterdam (2006) 9.