Recent progress in additive prime number theory
... Now we turn from random models to another aspect of prime number theory, namely sieve theory. One way to approach the primes is to start with all the integers in a given range (e.g. from N/2 to N) and then sift out all the non-primes, for instance by removing the multiples of 2, then √ the multiples ...
... Now we turn from random models to another aspect of prime number theory, namely sieve theory. One way to approach the primes is to start with all the integers in a given range (e.g. from N/2 to N) and then sift out all the non-primes, for instance by removing the multiples of 2, then √ the multiples ...
A Critique of the Foundations of Hoare-Style
... confidence in the derivations which are carried out by ...
... confidence in the derivations which are carried out by ...
A Critique of the Foundations of Hoare-Style Programming Logics
... confidence in the derivations which are carried out by ...
... confidence in the derivations which are carried out by ...
the partition property for certain extendible
... agree, by and large, with that of Menas [5]. o, ß, y, £ denote infinite ordinals which may or may not also be cardinals. S, k, X denote infinite cardinals and we always assume that k is regular and that 8, X > k > w. u, v, t denote measures. ...
... agree, by and large, with that of Menas [5]. o, ß, y, £ denote infinite ordinals which may or may not also be cardinals. S, k, X denote infinite cardinals and we always assume that k is regular and that 8, X > k > w. u, v, t denote measures. ...
The Dedekind Reals in Abstract Stone Duality
... We shall use a lot of ideas from interval analysis. However, instead of defining an interval [d, u] as the set {x ∈ R | d ≤ x ≤ u} or as a pair hd, ui of real numbers, as is usually done, we see it as a weaker form of Dedekind cut, defined in terms of the rationals. Real numbers (genuine cuts) are s ...
... We shall use a lot of ideas from interval analysis. However, instead of defining an interval [d, u] as the set {x ∈ R | d ≤ x ≤ u} or as a pair hd, ui of real numbers, as is usually done, we see it as a weaker form of Dedekind cut, defined in terms of the rationals. Real numbers (genuine cuts) are s ...
ON LOVELY PAIRS OF GEOMETRIC STRUCTURES 1. Introduction
... 2. Lovely pairs of geometric structures We begin by translating to the setting of geometric structures, the definitions used by Vassiliev in [24]. Let T be a complete theory in a language L such that for any model M |= T , the algebraic closure satisfies the Exchange Property and that eliminates th ...
... 2. Lovely pairs of geometric structures We begin by translating to the setting of geometric structures, the definitions used by Vassiliev in [24]. Let T be a complete theory in a language L such that for any model M |= T , the algebraic closure satisfies the Exchange Property and that eliminates th ...
abdullah_thesis_slides.pdf
... Given d,t ∈ N, we can define the concept of type signatures of radius d with threshold t such that the values (#Type1 ,...,#Typen ) are counted only upto a threshold t and anything ≥ t is considered ∞. Two structures A and B, are said to be d-equivalent with threshold t if their type signatures with ...
... Given d,t ∈ N, we can define the concept of type signatures of radius d with threshold t such that the values (#Type1 ,...,#Typen ) are counted only upto a threshold t and anything ≥ t is considered ∞. Two structures A and B, are said to be d-equivalent with threshold t if their type signatures with ...
Logic for Computer Science. Lecture Notes
... Finally we have to state clearly what kind of opinions (sentences) can be formulated in the language we deal with and, moreover, which of those opinions are true (valid), and which are false (invalid). Now we can investigate the subject of reasoning via the validity of expressed opinions. Such an ab ...
... Finally we have to state clearly what kind of opinions (sentences) can be formulated in the language we deal with and, moreover, which of those opinions are true (valid), and which are false (invalid). Now we can investigate the subject of reasoning via the validity of expressed opinions. Such an ab ...
Formale Methoden der Softwaretechnik Formal methods of software
... some proofs look more natural. This rule is called Rei allows you to repeat an earlier step, if you so desire. ...
... some proofs look more natural. This rule is called Rei allows you to repeat an earlier step, if you so desire. ...
Automata-Theoretic Model Checking Lili Anne Dworkin Advised by Professor Steven Lindell
... transition to the state in which the system receives the input i. Since the input information has been absorbed by the states, the transition function δ : S × I → S is replaced by a transition relation R ⊆ S × S. A pair (s, s0 ) ∈ R indicates that there exists a transition from state s to state s0 . ...
... transition to the state in which the system receives the input i. Since the input information has been absorbed by the states, the transition function δ : S × I → S is replaced by a transition relation R ⊆ S × S. A pair (s, s0 ) ∈ R indicates that there exists a transition from state s to state s0 . ...
Department of Mathematics, Jansons Institute of Technology
... topological structures in fuzzy topological spaces to intuitionistic fuzzy topological spaces using intuitionistic fuzzy sets. Later many researchers have studied topics related to intuitionistic fuzzy topological spaces. On the other hand, Coker [3] introduced the concept of ‘intuitionistic sets’ i ...
... topological structures in fuzzy topological spaces to intuitionistic fuzzy topological spaces using intuitionistic fuzzy sets. Later many researchers have studied topics related to intuitionistic fuzzy topological spaces. On the other hand, Coker [3] introduced the concept of ‘intuitionistic sets’ i ...
07.1-Reasoning
... • Logical languages have both syntax and symantics along with a proof theory. • Propositional logic is very simple but not useful for real world applications. ...
... • Logical languages have both syntax and symantics along with a proof theory. • Propositional logic is very simple but not useful for real world applications. ...
On modal logics of group belief
... authors (e.g. [16]) claim that acceptance implies belief (at least to some minimal degree as argued in [59]). On the contrary, in [57] acceptance is considered to be stronger than belief. Although belief and acceptance seem very close, several authors [11, 17, 61] have argued for the importance of k ...
... authors (e.g. [16]) claim that acceptance implies belief (at least to some minimal degree as argued in [59]). On the contrary, in [57] acceptance is considered to be stronger than belief. Although belief and acceptance seem very close, several authors [11, 17, 61] have argued for the importance of k ...
