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• catalog abstract "Themultiset (a set with multiplicities associated with its elements, in the form of natural numbers) is a notion which has appeared again and again in many areas of mathematics and computer science, sometimes called abag (some h- torical information appears in the enclosed paper by A. Syropoulos). As a data structure, this notion stands “in-between”strings/lists, where a linear ordering of symbols/items is present, andsets, where no ordering and no multiplicity is considered;inamultiset,onlythemultiplicityofelementsmatters,nottheir ordering. Actually, in between lists and multisets we also havepomsets, partially ordered multisets. Con?ning ourselves to computer science, we may mention many areas where multisets are used: formal power series, Petri nets, data bases, logics, formal language theory (in relation with Parikh mapping, commutative grammars, etc), concurrency, and so on. In the last few years, the notion has occurred in a rather natural way in the molecular computing area. An aqueous solution of chemical compounds, swimming together in a given space, without any given spatial relation between individual elements, is just a multiset. Actually, this chemical metaphor was used several years before the occurrence of what is now called molecular computing, as the basic ingredient of the Gamma language and the Chemical Abstract Machine (a comprehensive survey of these ideas is provided by J. -P. Banˆ atre, P. Fradet, D. Le Metayer).".
• catalog contributor b12520312.
• catalog created "c2001.".
• catalog date "2001".
• catalog date "c2001.".
• catalog dateCopyrighted "c2001.".
• catalog description "Includes bibliographical references and index.".
• catalog description "Structures and bio-language to simulate transition P systems on digital computers / Fernando Arroyo . [and others] -- Gamma and the chemical reaction model: fifteen years after / Jean-Pierre Banatre, Pascal Fradet, and Daniel Le Metayer -- Visual multiset rewriting: applications to diagram parsing and reasoning / Paolo Bottoni, Bernd Meyer, and Francesco Parisi Presicce -- Multiset automata / Erzsebet Csuhaj-Varju, Carlos Martin-Vide, and Victor Mitrana -- Parikh mapping and iteration / Jurgen Dassow -- Multiset constraints and P systems / Agostino Dovier, Carla Piazza, and Gianfranco Rossi -- Toward a formal macroset theory / Manfred Kudlek, Carlos Martin-Vide, and Gheorghe Paun -- Normal forms of grammars, finite automata, abstract families, and closure properties of multiset languages / Manfred Kudlek and Victor Mitrana -- On multisets in database systems / Gianfranco Lamperti, Michele Melchiori, and Marina Zanella -- Tolerance multisets / Solomon Marcus -- Fuzzy multisets and their generalizations / Sadaaki Miyamoto -- Universality results for some variants of P systems / Madhu Mutyam and Kamala Krithivasan -- Multiset and K-subset transforming systems / Taishin Yasunobu Nishida -- On P systems with active membranes solving the integer factorization problem in a polynomial time / Adam Obtu owicz -- The linear theory of multiset based dynamic systems / Wolfgang Reisig -- Artificial life applications of a class of P systems: abstract rewriting systems on multisets / Yasuhiro Suzuki . [et al.] -- Mathematics of multisets / Apostolos Syropoulos.".
• catalog description "Themultiset (a set with multiplicities associated with its elements, in the form of natural numbers) is a notion which has appeared again and again in many areas of mathematics and computer science, sometimes called abag (some h- torical information appears in the enclosed paper by A. Syropoulos). As a data structure, this notion stands “in-between”strings/lists, where a linear ordering of symbols/items is present, andsets, where no ordering and no multiplicity is considered;inamultiset,onlythemultiplicityofelementsmatters,nottheir ordering. Actually, in between lists and multisets we also havepomsets, partially ordered multisets. Con?ning ourselves to computer science, we may mention many areas where multisets are used: formal power series, Petri nets, data bases, logics, formal language theory (in relation with Parikh mapping, commutative grammars, etc), concurrency, and so on. In the last few years, the notion has occurred in a rather natural way in the molecular computing area. An aqueous solution of chemical compounds, swimming together in a given space, without any given spatial relation between individual elements, is just a multiset. Actually, this chemical metaphor was used several years before the occurrence of what is now called molecular computing, as the basic ingredient of the Gamma language and the Chemical Abstract Machine (a comprehensive survey of these ideas is provided by J. -P. Banˆ atre, P. Fradet, D. Le Metayer).".
• catalog extent "viii, 358 p. :".
• catalog identifier "3540430636".
• catalog isPartOf "Lecture notes in computer science 0302-9743 ; 2235".
• catalog issued "2001".
• catalog issued "c2001.".
• catalog language "eng".
• catalog publisher "Berlin ; New York : Springer,".
• catalog subject "004/.3 21".
• catalog subject "Bioinformatics.".
• catalog subject "Chemistry.".
• catalog subject "Computer science Mathematics Congresses.".
• catalog subject "Computer science.".
• catalog subject "Data structures (Computer science).".
• catalog subject "Electronic data processing Congresses.".
• catalog subject "Molecular computers Congresses.".
• catalog subject "QA76.5 .M85 2001".
• catalog tableOfContents "Structures and bio-language to simulate transition P systems on digital computers / Fernando Arroyo . [and others] -- Gamma and the chemical reaction model: fifteen years after / Jean-Pierre Banatre, Pascal Fradet, and Daniel Le Metayer -- Visual multiset rewriting: applications to diagram parsing and reasoning / Paolo Bottoni, Bernd Meyer, and Francesco Parisi Presicce -- Multiset automata / Erzsebet Csuhaj-Varju, Carlos Martin-Vide, and Victor Mitrana -- Parikh mapping and iteration / Jurgen Dassow -- Multiset constraints and P systems / Agostino Dovier, Carla Piazza, and Gianfranco Rossi -- Toward a formal macroset theory / Manfred Kudlek, Carlos Martin-Vide, and Gheorghe Paun -- Normal forms of grammars, finite automata, abstract families, and closure properties of multiset languages / Manfred Kudlek and Victor Mitrana -- On multisets in database systems / Gianfranco Lamperti, Michele Melchiori, and Marina Zanella -- Tolerance multisets / Solomon Marcus -- Fuzzy multisets and their generalizations / Sadaaki Miyamoto -- Universality results for some variants of P systems / Madhu Mutyam and Kamala Krithivasan -- Multiset and K-subset transforming systems / Taishin Yasunobu Nishida -- On P systems with active membranes solving the integer factorization problem in a polynomial time / Adam Obtu owicz -- The linear theory of multiset based dynamic systems / Wolfgang Reisig -- Artificial life applications of a class of P systems: abstract rewriting systems on multisets / Yasuhiro Suzuki . [et al.] -- Mathematics of multisets / Apostolos Syropoulos.".
• catalog title "Multiset processing : mathematical, computer science, and molecular computing points of view / Cristian S. Calude ... [et al.] (eds.)".
• catalog type "Conference proceedings. fast".
• catalog type "text".