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[null,"1.","Record Nr.",null,"UNINA9910686475603321"]
[null,null,"Autore",null,"Schreiner Wolfgang <1967->"]
[null,null,"Titolo",null,"Concrete Abstractions : Formalizing and Analyzing Discrete Theories and Algorithms with the RISCAL Model Checker / / by Wolfgang Schreiner"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023"]
[null,null,"ISBN",null,"9783031249341"]
[{"$nulls":4},"9783031249334"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (278 pages)"]
[null,null,"Collana",null,"Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, , 2197-8409"]
[null,null,"Disciplina",null,"511.8"]
[null,null,"Soggetti",null,"Computer science - Mathematics"]
[{"$nulls":4},"Mathematics - Data processing"]
[{"$nulls":4},"Logic, Symbolic and mathematical"]
[{"$nulls":4},"Mathematics of Computing"]
[{"$nulls":4},"Computational Mathematics and Numerical Analysis"]
[{"$nulls":4},"Mathematical Logic and Foundations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"1. Theories and Algorithms -- 2. Searching and Sorting -- 3. Sets, Relations, and Graphs -- 4. Propositional Logic -- 5. Big Number and Polynomial Arithmetic -- 6. Puzzles and Games -- 7. Concurrent Systems -- 8. Further Topics -- Appendices -- References -- Index."]
[null,null,null,"Sommario/riassunto","This book demonstrates how to formally model various mathematical domains (including algorithms operating in these domains) in a way that makes them amenable to a fully automatic analysis by computer software. The presented domains are typically investigated in discrete mathematics, logic, algebra, and computer science; they are modeled in a formal language based on first-order logic which is sufficiently rich to express the core entities in whose correctness we are interested: mathematical theorems and algorithmic specifications. This formal language is the language of RISCAL, a “mathematical model checker” by which the validity of all formulas and the correctness of all algorithms can be automatically decided. The RISCAL software is freely available; all formal contents presented in the book are given in the form of "]
[{"$nulls":4},"specification files by which the reader may interact with the software while studying the corresponding book material."]