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...hd1.html | author=Judit Csima | title=Investigations on Simple Eco-Grammar Systems | institution=[[Eötvös Loránd University]] | year=2002 }}</ref> ...f possible behaviors of <math>\mathbb{A}</math> can then be described as [[formal language]] ...

==Formal definition== ...Boris Hasselblatt | title= Introduction to the modern theory of dynamical systems | publisher= Cambridge | year= 1996 | isbn=0-521-57557-5}} ...

...''K''-systems with the same entropy. In essence, the collection of ''K''-systems is large, messy and uncategorized; whereas the ''B''-automorphisms are 'com ==Formal definition== ...

...a regular chain focusing on solutions of the real analogue: semi-algebraic systems. ...7717111002070-main.pdf&_valck=1 Triangular decomposition of semi-algebraic systems]. Proceedings of 2010 International Symposium on Symbolic and Algebraic Co ...

{{short description|Characteristic of some logical systems}} ...ty]] if every [[Well-formed formula|formula]] having the property can be [[formal proof|derived]] using that system, i.e. is one of its [[theorem]]s; otherwi ...

...guage processing]], principally [[computational semantics]] and [[dialogue systems]].<ref>{{cite journal|last = Cooper| first = Robin| year = 2005| title = Re {{Formal semantics}} ...

In the [[Dynamical systems theory|theory of dynamical systems]], the '''shadowing lemma''' is a [[lemma (mathematics)|lemma]] describing == Formal statement == ...

...e=10 | number=4 | pages=269–300| doi=10.1093/jos/10.4.269}}</ref> [[scope (formal semantics)|scope]], [[disjunction]],<ref name="Fox2007">{{cite book| first= {{Formal semantics}} ...

...Context-free Rewriting Systems .28LCFRSs.29|linear context-free rewriting systems]]. ==Formal properties== ...

The relative '''strength''' of two systems of [[formal logic]] can be defined via [[model theory]]. Specifically, a logic <math>\a ...

...ch |last2=Orlikowski |first2=Łukasz |title=Reachability in Vector Addition Systems is Ackermann-complete | date=2021 | conference=2021 IEEE 62nd Annual Sympos == Formal definitions and basic terminology == ...

...ctured transition systems (WSTSs)''' are a general class of infinite state systems for which many verification problems are [[decidable language|decidable]], ...lization of the Procedure of Karp and Miller to Well Structured Transition Systems". ...

...eans of an [[intersection (set theory)|intersection]] and a [[Homomorphism#Formal language theory|homomorphism]]. A few notions from formal language theory are in order. ...

...t of termination of programs or [[abstract rewriting system|term rewriting systems]]. | title = Formal Language Theory: Perspectives and Open Problems ...

'''Operational availability''' in [[systems engineering]] is a measurement of how long a system has been available to u Aircraft systems, ship systems, missile systems, and space systems have a large number of failure modes that must be addressed with limited re ...

== Formal definition == ...ook|last1=Jirásková|first1=Galina|title=Descriptional Complexity of Formal Systems|chapter=Self-Verifying Finite Automata and Descriptional Complexity|volume= ...

...versity Press |isbn=978-0-521-45205-2 |pages=42 |language=en}}</ref> Frege systems (more often known as [[Hilbert system]]s in general [[proof theory]]) are n ...intended to capture the properties of the most common propositional proof systems.<ref name=":0" /> ...

...enius series solutions are formal solutions of differential equations. The formal derivative of <math>z^\alpha</math>, with <math>\alpha\in\mathbb{C}</math>, ...nt of <math>Lf</math> with lowest degree in <math>(z-\xi)</math>. For each formal Frobenius series solution <math>f</math> of <math>Lf=0</math>, <math>\alpha ...

...en-gb|doi=10.1007/978-3-319-28929-8|series = SpringerBriefs in Intelligent Systems|year = 2016|isbn = 978-3-319-28927-4|s2cid=3263887|url = http://www.fransol === Formal definition === ...

...as [[computer vision]], [[natural language processing]], and [[autonomous systems]], where the spatial properties of data can be leveraged for both attack an ==Formal Definition== ...