Acta InformaticaPub Date : 2022-01-24DOI: 10.1007/s00236-021-00413-x
Radim Kocman, Zbyněk Křivka, Alexander Meduna, Benedek Nagy
{"title":"A jumping (5'rightarrow 3') Watson–Crick finite automata model","authors":"Radim Kocman, Zbyněk Křivka, Alexander Meduna, Benedek Nagy","doi":"10.1007/s00236-021-00413-x","DOIUrl":"10.1007/s00236-021-00413-x","url":null,"abstract":"<div><p>Jumping finite automata and sensing <span>(5'rightarrow 3')</span> Watson–Crick finite automata are finite-state models of computation which allow to process the input word not only in the strictly left-to-right manner. In this paper a new combined model of them is presented. The accepting power of the new model is studied and compared with the original models and also other well-known language families. Furthermore, the paper investigates changes in the accepting power when commonly studied restrictions from Watson–Crick finite automata, e.g., all states are final, are applied to this combined model. In the end, the paper presents a comprehensive hierarchy of all related language families.\u0000</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 5","pages":"557 - 584"},"PeriodicalIF":0.6,"publicationDate":"2022-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50045696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2022-01-21DOI: 10.1007/s00236-021-00415-9
Marcin Michalak
{"title":"Hierarchical heuristics for Boolean-reasoning-based binary bicluster induction","authors":"Marcin Michalak","doi":"10.1007/s00236-021-00415-9","DOIUrl":"10.1007/s00236-021-00415-9","url":null,"abstract":"<div><p>Biclustering is a two-dimensional data analysis technique that, applied to a matrix, searches for a subset of rows and columns that intersect to produce a submatrix with given, expected features. Such an approach requires different methods to those of typical classification or regression tasks. In recent years it has become possible to express biclustering goals in the form of Boolean reasoning. This paper presents a new, heuristic approach to bicluster induction in binary data.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 6","pages":"673 - 685"},"PeriodicalIF":0.6,"publicationDate":"2022-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00236-021-00415-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44249506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2022-01-21DOI: 10.1007/s00236-021-00414-w
Viliam Geffert, Christos A. Kapoutsis, Mohammad Zakzok
{"title":"Improved complement for two-way alternating automata","authors":"Viliam Geffert, Christos A. Kapoutsis, Mohammad Zakzok","doi":"10.1007/s00236-021-00414-w","DOIUrl":"10.1007/s00236-021-00414-w","url":null,"abstract":"<div><p>For each <i>two-way alternating finite automaton</i> (<span>a</span> <span>fa</span>) <i>A</i> with <i>s</i> states, we directly build a <span>a</span> <span>fa</span> <span>(A^c )</span> with <span>(O(s^6))</span> states which accepts exactly those inputs that are not accepted by <i>A</i>. This improves upon the previously best-known construction, which was both more expensive and more complicated, as it required <span>(O(s^7))</span> states and involved building and simulating an intermediate linear-bounded automaton.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 5","pages":"619 - 669"},"PeriodicalIF":0.6,"publicationDate":"2022-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00236-021-00414-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46498404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2021-12-30DOI: 10.1007/s00236-021-00412-y
Jan Křetínský, Tobias Meggendorfer, Clara Waldmann, Maximilian Weininger
{"title":"Index appearance record with preorders","authors":"Jan Křetínský, Tobias Meggendorfer, Clara Waldmann, Maximilian Weininger","doi":"10.1007/s00236-021-00412-y","DOIUrl":"10.1007/s00236-021-00412-y","url":null,"abstract":"<div><p>Transforming <span>(omega )</span>-automata into parity automata is traditionally done using appearance records. We present an efficient variant of this idea, tailored to Rabin automata, and several optimizations applicable to all appearance records. We compare the methods experimentally and show that our method produces significantly smaller automata than previous approaches.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 5","pages":"585 - 618"},"PeriodicalIF":0.6,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00236-021-00412-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49413553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2021-10-20DOI: 10.1007/s00236-021-00410-0
Paul Hunter, Guillermo A. Pérez, Jean-François Raskin
{"title":"Correction to: Reactive synthesis without regret","authors":"Paul Hunter, Guillermo A. Pérez, Jean-François Raskin","doi":"10.1007/s00236-021-00410-0","DOIUrl":"10.1007/s00236-021-00410-0","url":null,"abstract":"","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 5","pages":"671 - 671"},"PeriodicalIF":0.6,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48681144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2021-08-30DOI: 10.1007/s00236-021-00408-8
Ayleen Schinko, Walter Vogler, Johannes Gareis, N. Tri Nguyen, Gerald Lüttgen
{"title":"Interface Automata for Shared Memory","authors":"Ayleen Schinko, Walter Vogler, Johannes Gareis, N. Tri Nguyen, Gerald Lüttgen","doi":"10.1007/s00236-021-00408-8","DOIUrl":"10.1007/s00236-021-00408-8","url":null,"abstract":"<div><p>Interface theories based on <i>Interface Automata</i> (IA) are formalisms for the component-based specification of concurrent systems. Extensions of their basic synchronization mechanism permit the modelling of data, but are studied in more complex settings involving modal transition systems or do not abstract from internal computation. In this article, we show how de Alfaro and Henzinger’s original IA theory can be conservatively extended by shared memory data, without sacrificing simplicity or imposing restrictions. Our extension <i>IA for shared Memory</i> (IAM) decorates transitions with pre- and post-conditions over algebraic expressions on shared variables, which are taken into account by IA’s notion of component compatibility. Simplicity is preserved as IAM can be embedded into IA and, thus, accurately lifts IA’s compatibility concept to shared memory. We also provide a ground semantics for IAM that demonstrates that our abstract handling of data within IA’s open systems view is faithful to the standard treatment of data in closed systems.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 5","pages":"521 - 556"},"PeriodicalIF":0.6,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00236-021-00408-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43163802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2021-07-25DOI: 10.1007/s00236-021-00407-9
Amr Elmasry, Jyrki Katajainen
{"title":"Regular numeral systems for data structures","authors":"Amr Elmasry, Jyrki Katajainen","doi":"10.1007/s00236-021-00407-9","DOIUrl":"10.1007/s00236-021-00407-9","url":null,"abstract":"<div><p>We formalize several regular numeral systems, state their properties and supported operations, clarify the correctness, and tabulate the proofs. Our goal is to use as few symbols in the presentation of digits and make as few digit changes as possible in every operation. Most importantly, we introduce two new systems: (1) the buffered regular system is simple and allows the increment and decrement of the least-significant digit in constant time, and (2) the strictly regular system allows the increment and decrement of a digit at arbitrary position with a constant number of digit changes while using three symbols only (instead of four symbols required by the extended regular system). To demonstrate the usefulness of the regular systems, we survey how they have been used in the design of data structures.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"59 2-3","pages":"245 - 281"},"PeriodicalIF":0.6,"publicationDate":"2021-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00236-021-00407-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50102643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2021-07-19DOI: 10.1007/s00236-020-00383-6
Thomas Worsch
{"title":"A faster algorithm for the Birthday Song Singers Synchronization Problem (FSSP) in one-dimensional CA with multiple speeds","authors":"Thomas Worsch","doi":"10.1007/s00236-020-00383-6","DOIUrl":"10.1007/s00236-020-00383-6","url":null,"abstract":"<div><p>In cellular automata with multiple speeds for each cell <i>i</i> there is a positive integer <span>(p_i)</span> such that this cell updates its state still periodically but only at times which are a multiple of <span>(p_i)</span>. Additionally there is a finite upper bound on all <span>(p_i)</span>. Manzoni and Umeo have described an algorithm for these (one-dimensional) cellular automata which solves the Firing Squad Synchronization Problem. This algorithm needs linear time (in the number of cells to be synchronized) but for many problem instances it is slower than the optimum time by some positive constant factor. In the present paper we derive lower bounds on possible synchronization times and describe an algorithm which is never slower and in some cases faster than the one by Manzoni and Umeo and which is close to a lower bound (up to a constant summand) in more cases.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"58 4","pages":"451 - 462"},"PeriodicalIF":0.6,"publicationDate":"2021-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00236-020-00383-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42826962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Acta InformaticaPub Date : 2021-07-19DOI: 10.1007/s00236-020-00388-1
Kenichi Morita
{"title":"An instruction set for reversible Turing machines","authors":"Kenichi Morita","doi":"10.1007/s00236-020-00388-1","DOIUrl":"10.1007/s00236-020-00388-1","url":null,"abstract":"<div><p>A reversible Turing machine (RTM) is a standard model of reversible computing that reflects physical reversibility. So far, to describe an RTM the quadruple formulation and the quintuple formulation have been used. In this paper, we propose the program form as a new formulation for RTMs. There, an RTM is described by a sequence of only five kinds of instructions. It is shown that any RTM in the quintuple form is converted to an RTM in the program form, and <i>vice versa</i>. We also show each instruction is implemented by a particular reversible logic element with memory called a rotary element (RE) very simply. Hence, a circuit that simulates a given RTM is easily and systematically constructed out of REs.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"58 4","pages":"377 - 396"},"PeriodicalIF":0.6,"publicationDate":"2021-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00236-020-00388-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50037720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}