Hoops and their implicational reducts (abstract)
Horizontal sums of basic algebras
The variety of basic algebras is closed under formation of horizontal sums. We characterize when a given basic algebra is a horizontal sum of chains, MV-algebras or Boolean algebras.
Horn clause programs and recursive functions defined by systems of equations
Hotz-isomorphism theorems in formal language theory
How Berger, Felzenbaum and Fraenkel revolutionized Covering Systems the same way that George Boole revolutionized Logic.
How complicated can be one-dimensional dynamical systems: descriptive estimates of sets
How large are left exact functors?
How many clouds cover the plane?
The plane can be covered by n + 2 clouds iff .
How many normal measures can carry?
We show that assuming the consistency of a supercompact cardinal with a measurable cardinal above it, it is possible for to be measurable and to carry exactly τ normal measures, where is any regular cardinal. This contrasts with the fact that assuming AD + DC, is measurable and carries exactly three normal measures. Our proof uses the methods of [6], along with a folklore technique and a new method due to James Cummings.
How to generalize logic programming to arbitrary set of clauses.
How to handle fuzzy-quantities?
How to make your logic fuzzy.
The aim of this paper is to provide a methodology for turning a known crisp logic into a fuzzy system. We require of the methodology that it be meaningful in general terms, using processes which are independent of the notion of fuzziness, and that it yield a considerable number of known fuzzy systems.
How to recognize a true Σ^0_3 set
Let X be a Polish space, and let be a sequence of hereditary subsets of K(X) (the space of compact subsets of X). We give a general criterion which allows one to decide whether is a true subset of K(X). We apply this criterion to show that several natural families of thin sets from harmonic analysis are true .
Hurewicz properties, non distinguishing convergence properties and sequence selection properties
Hurewicz scheme
Hybrid Prikry forcing
We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal κ. In the final model the cofinality of κ is ω, the singular cardinal hypothesis fails at κ, and GCH holds below κ. Moreover we define a scale at κ which has a stationary set of bad points in the ground model.
Hydrological applications of a model-based approach to fuzzy set membership functions
Since the common approach to defining membership functions of fuzzy numbers is rather subjective, another, more objective method is proposed. It is applicable in situations where two models, say and , share the same uncertain input parameter . Model is used to assess the fuzziness of , whereas the goal is to assess the fuzziness of the -dependent output of model . Simple examples are presented to illustrate the proposed approach.
Hyperarithmetical Boolean algebras with a distinguished ideal.
Hyperbolic geometry in terms of point-reflections or of line-orthogonality.
Hyperdefinite stochastic integration I: The nonstandard theory.