TY  - BOOK
A1  - de Carvalho, Jackson Marques
A1  - Jürgensen, Helmut
T1  - Document authoring environments and authoring mathematics
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2008
SN  - 0946-7580
VL  - 2008, 1
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - GEN
A1  - Marques de Carvalho, Jackson W.
A1  - Jürgensen, Helmut
T1  - Flexible Structured Mathematics Notation : IADIS, International Conference Interfaces and Human Computer Interaction, Lisabon, 2007
T2  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2007
SN  - 0946-7580
VL  - 2007, 1
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Jürgensen, Helmut
T1  - Complexity, information, energy
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2006
SN  - 0946-7580
VL  - 2006, 6
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Balan, Sakthin M.
A1  - Jürgensen, Helmut
T1  - Peptide computing : universality and theoretical model
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2006
SN  - 0946-7580
VL  - 2006, 1
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Balan, Sakthin M.
A1  - Jürgensen, Helmut
T1  - On the universality of peptide computing
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2006
SN  - 0946-7580
VL  - 2006, 9
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Jürgensen, Helmut
T1  - Synchronization
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2006
SN  - 0946-7580
VL  - 2006, 5
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Jürgensen, Helmut
A1  - Konstantinidis, Stavros
T1  - (Near-)inverses of sequences
N2  - We introduce the notion of a near-inverse of a non-decreasing sequence of positive integers; near-inverses are intended to assume the role of inverses in cases when the latter cannot exist. We prove that the near-inverse of such a sequence is unique; moreover, the relation of being near-inverses of each other is symmetric, i.e. if sequence g is the near-inverse of sequence f, then f is the near-inverse of g. There is a connection, by approximations, between near- inverses of sequences and inverses of continuous strictly increasing real-valued functions which can be exploited to derive simple expressions for near-inverses
Y1  - 2006
UR  - http://www.informaworld.com/openurl?genre=journal&issn=0020-7160
U6  - https://doi.org/10.1080/00207160500537801
SN  - 0020-7160
ER  - 
TY  - JOUR
A1  - Brzozowski, J. A.
A1  - Jürgensen, Helmut
T1  - Representation of semiautomata by canonical words and equivalences
N2  - We study a novel representation of semiautomata, which is motivated by the method of trace-assertion specifications of software modules. Each state of the semiautomaton is represented by an arbitrary word leading to that state, the canonical word. The transitions of the semiautomaton give rise to a right congruence, the state-equivalence, on the set of input words of the semiautomaton: two words are state-equivalent if and only if they lead to the same state. We present a simple algorithm for finding a set of generators for state-equivalence. Directly from this set of generators, we construct a confluent prefix-rewriting system which permits us to transform any word to its canonical representative. In general, the rewriting system may allow infinite derivations. To address this issue, we impose the condition of prefix-continuity on the set of canonical words. A set is prefix-continuous if, whenever a word w and a prefix u of w axe in the set, then all the prefixes of w longer than u are also in the set. Prefix-continuous sets include prefix-free and prefix-closed sets as special cases. We prove that the rewriting system is Noetherian if and only if the set of canonical words is prefix-continuous. Furthermore, if the set of canonical words is prefix- continuous, then the set of rewriting rules is irredundant. We show that each prefix-continuous canonical set corresponds to a spanning forest of the semiautomaton
Y1  - 2005
SN  - 0129-0541
ER  - 
TY  - BOOK
A1  - Bensch, Suna
A1  - Boldt, Oliver
A1  - Bordihn, Henning
A1  - Jürgensen, Helmut
T1  - Workshop "Formale Methoden der Linguistik" und "14. Theorietag Automaten und Formale Sprachen"
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2004
SN  - 0946-7580
VL  - 2004, 2
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Aydin, Suna
A1  - Jürgensen, Helmut
A1  - Robbins, L. E.
T1  - Dialogues as co-operating grammars
T3  - Preprint / Universität Potsdam, Institut für Informatik
Y1  - 2001
SN  - 0946-7580
VL  - 2001, 1
PB  - Univ.
CY  - Potsdam
ER  -