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This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism. The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures include Michael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting. This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.
Intuitionistic mathematics. --- Brouwerian algebras. --- Algebras, Brouwerian --- Algebra, Universal --- Intuitionistic mathematics --- Lattices, Distributive --- Constructive mathematics --- Mathematics --- Mathematics-Philosophy. --- Logic, Symbolic and mathematical. --- Philology. --- Computer science. --- Logic. --- Philosophy of Mathematics. --- Mathematical Logic and Foundations. --- Mathematical Logic and Formal Languages. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Informatics --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Methodology --- Mathematics—Philosophy. --- Mathematical logic. --- Machine theory. --- Formal Languages and Automata Theory. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics --- Logic of mathematics --- Mathematics, Logic of --- Philosophy.
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This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.
Philosophy. --- Epistemology. --- Language and languages --- Mathematics --- Mathematical logic. --- Mathematical Logic and Foundations. --- Mathematical Logic and Formal Languages. --- Philosophy of Mathematics. --- Philosophy of Language. --- Mental philosophy --- Humanities --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic of mathematics --- Mathematics, Logic of --- Epistemology --- Theory of knowledge --- Philosophy --- Psychology --- Knowledge, Theory of. --- Logic, Symbolic and mathematical. --- Genetic epistemology. --- Computer science. --- Mathematics-Philosophy. --- Linguistics --- Informatics --- Science --- Developmental psychology --- Knowledge, Theory of --- Mathematics—Philosophy. --- Language and languages—Philosophy. --- Machine theory. --- Formal Languages and Automata Theory. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics
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This book constitutes the refereed proceedings of the 8th International Conference on Machines, Computations, and Universality, MCU 2018, held in Fontainebleau, France, in June 2018. The 9 revised full papers presented together with 5 invited talks were carefully reviewed and selected from numerous submissions. MCU explores computation in the setting of various discrete models (Turing machines, register machines, cellular automata, tile assembly systems, rewriting systems, molecular computing models, neural models, concurrent systems, etc.) and analog and hybrid models (BSS machines, infinite time cellular automata, real machines, quantum computing, etc.).
Computer science. --- Special purpose computers. --- Architecture, Computer. --- Algorithms. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Algorithm Analysis and Problem Complexity. --- Computer System Implementation. --- Mathematical Logic and Formal Languages. --- Logics and Meanings of Programs. --- Special Purpose and Application-Based Systems. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Algorism --- Algebra --- Arithmetic --- Architecture, Computer --- Special purpose computers --- Computers --- Informatics --- Science --- Foundations --- Computer software. --- Computer network architectures. --- Logic design. --- Software engineering. --- Computer software engineering --- Engineering --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Architectures, Computer network --- Network architectures, Computer --- Computer architecture --- Software, Computer --- Computer systems --- Computer systems. --- Machine theory. --- Computers, Special purpose. --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics --- ADP systems (Computer systems) --- Computing systems --- Systems, Computer --- Electronic systems --- Cyberinfrastructure
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Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 23rd International Conference on Formal Grammar, FG 2018, collocated with the European Summer School in Logic, Language and Information in August 2018. The 7 full papers were carefully reviewed and selected from 11 submissions. The focus of papers are as follows: Formal and computational phonology, morphology, syntax, semantics, and pragmatics Model-theoretic and proof-theoretic methods in linguistics Logical aspects of linguistic structure Constraint-based and resource-sensitive approaches to grammar Learnability of formal grammar Integration of stochastic and symbolic models of grammar Foundational, methodological, and architectural issues in grammar and linguistics Mathematical foundations of statistical approaches to linguistic analysis.
Computer science. --- Mathematical logic. --- Data mining. --- Computational linguistics. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Data Mining and Knowledge Discovery. --- Language Translation and Linguistics. --- Automatic language processing --- Language and languages --- Language data processing --- Linguistics --- Natural language processing (Linguistics) --- Applied linguistics --- Cross-language information retrieval --- Mathematical linguistics --- Multilingual computing --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Database searching --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Informatics --- Science --- Data processing --- Natural language processing (Computer science). --- Natural Language Processing (NLP). --- NLP (Computer science) --- Artificial intelligence --- Electronic data processing --- Human-computer interaction --- Semantic computing --- Computational linguistics --- Machine theory. --- Formal Languages and Automata Theory. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics
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This book constitutes revised selected papers from the 12th International Workshop on Rewriting Logic and Its Applications, WRLA 2018, held in Thessaloniki, Greece, in June 2018. The 12 full papers presented in this volume were carefully reviewed and selected from 21 submissions. They deal with rewriting, a natural model of computation and an expressive semantic framework for concurrency, parallelism, communication, and interaction, and its applications. .
Logic design. --- Computer science. --- Software engineering. --- Logics and Meanings of Programs. --- Programming Languages, Compilers, Interpreters. --- Software Engineering. --- Programming Techniques. --- Mathematical Logic and Formal Languages. --- Computer software engineering --- Engineering --- Informatics --- Science --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Computer logic --- Computer logic. --- Programming languages (Electronic computers). --- Computer programming. --- Mathematical logic. --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Electronic data processing --- Languages, Artificial --- Computer science logic --- Logic, Symbolic and mathematical --- Computers --- Electronic computer programming --- Electronic digital computers --- Programming (Electronic computers) --- Coding theory --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Programming --- Compilers (Computer programs). --- Machine theory. --- Computer Science Logic and Foundations of Programming. --- Compilers and Interpreters. --- Formal Languages and Automata Theory. --- Compiling programs (Computer programs) --- Computer programs --- Programming software --- Systems software --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics
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This book constitutes the thoroughly refereed post-conference proceedings of the 14th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2018, colocated with ETAPS 2018, held in Thessaloniki, Greece, in April 2018. The 10 revised full papers were carefully reviewed and selected from 17 submissions. Also included are the extended abstracts of two keynotes/invited talks. The papers cover a wide range of topics in the theory, logics and applications of coalgebras.
Computer science. --- Artificial intelligence. --- Logic design. --- Mathematical Logic and Formal Languages. --- Artificial Intelligence. --- Logics and Meanings of Programs. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Informatics --- Science --- Computer science --- Mathematics --- Mathematical logic. --- Computer logic. --- Computer science logic --- Logic, Symbolic and mathematical --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Machine theory. --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics
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This book constitutes the refereed proceedings of the 19th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2018, held in Los Angeles, CA, USA, in January 2018. The 24 full papers presented together with the abstracts of 3 invited keynotes and 1 invited tutorial were carefully reviewed and selected from 43 submissions. VMCAI provides topics including: program verification, model checking, abstract interpretation, program synthesis, static analysis, type systems, deductive methods, program certification, decision procedures, theorem proving, program certification, debugging techniques, program transformation, optimization, and hybrid and cyber-physical systems.
Computer science. --- Computer communication systems. --- Software engineering. --- Programming languages (Electronic computers). --- Computers. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Logics and Meanings of Programs. --- Software Engineering. --- Computer Communication Networks. --- Mathematical Logic and Formal Languages. --- Computation by Abstract Devices. --- Programming Languages, Compilers, Interpreters. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Computer science logic --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Computer software engineering --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Informatics --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic, Symbolic and mathematical --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Electronic data processing --- Languages, Artificial --- Engineering --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Science --- Distributed processing --- Logic design. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory --- Computer software --- Software engineering --- Verification --- Verification. --- Computer networks. --- Machine theory. --- Compilers (Computer programs). --- Computer Science Logic and Foundations of Programming. --- Formal Languages and Automata Theory. --- Theory of Computation. --- Compilers and Interpreters. --- Compiling programs (Computer programs) --- Computer programs --- Programming software --- Systems software --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics
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Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 22nd International Conference on Formal Grammar, FG 2017, collocated with the European Summer School in Logic, Language and Information in July 2017. The 9 contributed papers were carefully reviewed and selected from 14 submissions. The focus of papers are as follows: Formal and computational phonology, morphology, syntax, semantics and pragmatics Model-theoretic and proof-theoretic methods in linguistics Logical aspects of linguistic structure Constraint-based and resource-sensitive approaches to grammar Learnability of formal grammar Integration of stochastic and symbolic models of grammar Foundational, methodological and architectural issues in grammar and linguistics Mathematical foundations of statistical approaches to linguistic analysis.
Computer science. --- Mathematical logic. --- Data mining. --- Text processing (Computer science). --- Computational linguistics. --- Image processing. --- Application software. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Language Translation and Linguistics. --- Document Preparation and Text Processing. --- Image Processing and Computer Vision. --- Computer Appl. in Social and Behavioral Sciences. --- Data Mining and Knowledge Discovery. --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Pictorial data processing --- Picture processing --- Processing, Image --- Automatic language processing --- Language and languages --- Language data processing --- Linguistics --- Natural language processing (Linguistics) --- Processing, Text (Computer science) --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Informatics --- Data processing --- Natural language processing (Computer science). --- Computer vision. --- Social sciences --- Natural Language Processing (NLP). --- Data processing. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- NLP (Computer science) --- Electronic data processing --- Human-computer interaction --- Semantic computing --- Database searching --- Science --- Logic, Symbolic and mathematical. --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer software --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment --- Machine theory. --- Social sciences—Data processing. --- Formal Languages and Automata Theory. --- Computer Vision. --- Computer Application in Social and Behavioral Sciences. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics
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This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2018, held in Deerfield Beach, FL, USA, in January 2018. The 22 revised full papers were carefully reviewed and selected from 22 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.
Computer science. --- Arithmetic and logic units, Computer. --- Computer programming. --- Programming languages (Electronic computers). --- Computer logic. --- Mathematical logic. --- Artificial intelligence. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Arithmetic and Logic Structures. --- Logics and Meanings of Programs. --- Artificial Intelligence (incl. Robotics). --- Programming Languages, Compilers, Interpreters. --- Programming Techniques. --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Computers --- Electronic computer programming --- Electronic data processing --- Electronic digital computers --- Programming (Electronic computers) --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Computer science logic --- Arithmetic and logic units, Computer --- Informatics --- Programming --- Languages, Artificial --- Coding theory --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic, Symbolic and mathematical --- Computer arithmetic --- Science --- Circuits --- Logic design. --- Artificial Intelligence. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory --- Computer science --- Computer logic --- Machine theory. --- Computer arithmetic and logic units. --- Compilers (Computer programs). --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Compilers and Interpreters. --- Compiling programs (Computer programs) --- Computer programs --- Programming software --- Systems software --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics
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In this book the author introduces a novel approach to securing exam systems. He provides an in-depth understanding, useful for studying the security of exams and similar systems, such as public tenders, personnel selections, project reviews, and conference management systems. After a short chapter that explains the context and objectives of the book, in Chap. 2 the author introduces terminology for exams and the foundations required to formulate their security requirements. He describes the tasks that occur during an exam, taking account of the levels of detail and abstraction of an exam specification and the threats that arise out of the different exam roles. He also presents a taxonomy that classifies exams by types and categories. Chapter 3 contains formal definitions of the authentication, privacy, and verifiability requirements for exams, a framework based on the applied pi-calculus for the specification of authentication and privacy, and a more abstract approach based on set-theory that enables the specification of verifiability. Chapter 4 describes the Huszti-Pethő protocol in detail and proposes a security enhancement. In Chap. 5 the author details Remark!, a protocol for Internet-based exams, discussing its cryptographic building blocks and some security considerations. Chapter 6 focuses on WATA, a family of computer-assisted exams that employ computer assistance while keeping face-to-face testing. The chapter also introduces formal definitions of accountability requirements and details the analysis of a WATA protocol against such definitions. In Chaps. 4, 5, and 6 the author uses the cryptographic protocol verifier ProVerif for the formal analyses. Finally, the author outlines future work in Chap. 7. The book is valuable for researchers and graduate students in the areas of information security, in particular for people engaged with exams or protocols.
Computer networks --- Security measures. --- Computer science. --- Data structures (Computer science). --- Mathematical logic. --- Computers. --- Application software. --- Computer Science. --- Data Structures, Cryptology and Information Theory. --- Information Systems and Communication Service. --- Mathematical Logic and Formal Languages. --- Revision and Exam. --- Computer Appl. in Administrative Data Processing. --- Computer network security --- Network security, Computer --- Security of computer networks --- Computer security --- Data structures (Computer scienc. --- Information systems. --- Test-taking skills. --- Data Structures and Information Theory. --- Skills, Test-taking --- Test-taking strategies --- Test wiseness --- Informatics --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Information theory. --- Computer networks. --- Machine theory. --- Information technology --- Computer Communication Networks. --- Formal Languages and Automata Theory. --- Computer Application in Administrative Data Processing. --- Management. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Communication theory --- Communication --- Distributed processing
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