Results 251 to 260 of about 4,586,045 (294)

General existence theorem of zero points. [PDF]

open access: yes
Yang, Z.   +3 more
core  

Provable Fixed Points

Mathematical Logic Quarterly, 1988
The paper establishes some general conditions under wich a formula A(p) has only provable fixed points in Guaspari-Solovay modal logic of provability R. This result is used to give another proof of Parikh's theorem: For each natural number \(k\geq 1\) there is an arithmetical sentence A, provable in PA, such that \(\square^ kA\) has a much shorter ...
Dick De Jongh, Franco Montagna
openaire   +3 more sources

On Common Fixed Points

gmj, 2002
Abstract Some fixed point theorems based on an asymptotic regularity condition have been obtained, which generalize the previously well-known results.
Liu, Zeqing, Khan, M. S., Pathak, H. K.
openaire   +2 more sources

Incompleteness and Fixed Points

MLQ, 2002
Summary: Our purpose is to present some connections between modal incompleteness and modal logics related to the Gödel-Löb logic GL. One of our goals is to prove that for all \(m,n,k,l \in\mathbb{N}\) the logic \(\text{K}+\bigwedge_{i=m}^n \square^i (\bigwedge^l_{j=k} \square^j p\leftrightarrow p)\to \bigwedge^n_{i=m} \square^ip\) is incomplete and ...
openaire   +3 more sources

Fixed points of functors

Journal of Logical and Algebraic Methods in Programming, 2018
Abstract This is a survey on fixed points of endofunctors, including initial algebras and terminal coalgebras. We also consider the rational fixed point, a canonical domain of behavior for finitely presentable systems. In addition to the basic existence theorems for fixed points, several new results are presented.
Jirí Adámek   +2 more
openaire   +2 more sources

On Irregular Fixed Points

Canadian Mathematical Bulletin, 1967
Throughout this paper (X, d) will be a metric space with metric d, and h a homeomorphism of X onto itself. For any real number r > 0, and p ∊ X, U(p, r) will denote the open r - sphere about p. Any point p ∊ X is called regular [3] if for any given ∊ > 0 there exists a δ >
openaire   +2 more sources

Home - About - Disclaimer - Privacy