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Automatic risk control based on FSA methodology adaptation for safety assessment in intelligent buildings

Jerzy Mikulik, Mirosław Zajdel (2009)

International Journal of Applied Mathematics and Computer Science

The main area which Formal Safety Assessment (FSA) methodology was created for is maritime safety. Its model presents quantitative risk estimation and takes detailed information about accident characteristics into account. Nowadays, it is broadly used in shipping navigation around the world. It has already been shown that FSA can be widely used for the assessment of pilotage safety. On the basis of analysis and conclusion on the FSA approach, this paper attempts to show that the adaptation of this...

Automorphisms of concrete logics

Mirko Navara, Josef Tkadlec (1991)

Commentationes Mathematicae Universitatis Carolinae

The main result of this paper is Theorem 3.3: Every concrete logic (i.e., every set-representable orthomodular poset) can be enlarged to a concrete logic with a given automorphism group and with a given center. Since every sublogic of a concrete logic is concrete, too, and since not every state space of a (general) quantum logic is affinely homeomorphic to the state space of a concrete logic [8], our result seems in a sense the best possible. Further, we show that every group is an automorphism...

Automorphisms of models of bounded arithmetic

Ali Enayat (2006)

Fundamenta Mathematicae

We establish the following model-theoretic characterization of the fragment IΔ₀ + Exp + BΣ₁ of Peano arithmetic in terms of fixed points of automorphisms of models of bounded arithmetic (the fragment IΔ₀ of Peano arithmetic with induction limited to Δ₀-formulae). Theorem A. The following two conditions are equivalent for a countable model of the language of arithmetic: (a) satisfies IΔ₀ + BΣ₁ + Exp; (b) = I f i x ( j ) for some nontrivial automorphism j of an end extension of that satisfies IΔ₀. Here I f i x ( j ) is the...

Automorphisms of ( λ ) / κ

Paul Larson, Paul McKenney (2016)

Fundamenta Mathematicae

We study conditions on automorphisms of Boolean algebras of the form ( λ ) / κ (where λ is an uncountable cardinal and κ is the ideal of sets of cardinality less than κ ) which allow one to conclude that a given automorphism is trivial. We show (among other things) that every automorphism of ( 2 κ ) / κ which is trivial on all sets of cardinality κ⁺ is trivial, and that M A implies both that every automorphism of (ℝ)/Fin is trivial on a cocountable set and that every automorphism of (ℝ)/Ctble is trivial.

Axial permutations of ω²

Paweł Klinga (2016)

Colloquium Mathematicae

We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.

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