Proof Reconstruction in Classical and Non-Classical Logics
| Author | : Stephanie Schmitt |
| Publisher | : IOS Press |
| Total Pages | : 236 |
| Release | : 2000 |
| Genre | : Computers |
| ISBN | : 9781586031299 |
Non Classical Aspects In Proof Complexity
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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
| Author | : Ivo Düntsch |
| Publisher | : Springer Nature |
| Total Pages | : 591 |
| Release | : 2021-09-24 |
| Genre | : Philosophy |
| ISBN | : 3030714306 |
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.
Computational Complexity
| Author | : Sanjeev Arora |
| Publisher | : Cambridge University Press |
| Total Pages | : 609 |
| Release | : 2009-04-20 |
| Genre | : Computers |
| ISBN | : 0521424267 |
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Arnon Avron on Semantics and Proof Theory of Non-Classical Logics
| Author | : Ofer Arieli |
| Publisher | : Springer Nature |
| Total Pages | : 369 |
| Release | : 2021-07-30 |
| Genre | : Philosophy |
| ISBN | : 3030712583 |
This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
Lectures on Logic and Computation
| Author | : Nick Bezhanishvili |
| Publisher | : Springer |
| Total Pages | : 269 |
| Release | : 2012-06-23 |
| Genre | : Computers |
| ISBN | : 3642314856 |
The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. During two weeks, around 50 courses and 10 workshops are offered to the attendants, each of 1.5 hours per day during a five days week, with up to seven parallel sessions. ESSLLI also includes a student session (papers and posters by students only, 1.5 hour per day during the two weeks) and four evening lectures by senior scientists in the covered areas. The 6 course notes were carefully reviewed and selected. The papers are organized in topical sections on computational complexity, multi-agant systems, natural language processing, strategies in games and formal semantics.
Automated Deduction in Classical and Non-Classical Logics
| Author | : Ricardo Caferra |
| Publisher | : Springer |
| Total Pages | : 306 |
| Release | : 2003-07-31 |
| Genre | : Computers |
| ISBN | : 3540465081 |
This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories. Five invited papers by prominent researchers give a consolidated view of the recent developments in first-order theorem proving. The 14 research papers presented went through a twofold selection process and were first presented at the International Workshop on First-Order Theorem Proving, FTP'98, held in Vienna, Austria, in November 1998. The contributed papers reflect the current status in research in the area; most of the results presented rely on resolution or tableaux methods, with a few exceptions choosing the equational paradigm.
Theory and Applications of Satisfiability Testing - SAT 2013
| Author | : Matti Jarvisalo |
| Publisher | : Springer |
| Total Pages | : 451 |
| Release | : 2013-06-24 |
| Genre | : Computers |
| ISBN | : 3642390714 |
This book constitutes the refereed proceedings of the 16th International Conference on Theory and Applications of Satisfiability Testing, SAT 2013, held in Helsinki, Finland in July 2013. The 21 regular papers, 5 short papers, and 5 tool papers presented together with 3 invited talks were carefully reviewed and selected from 71 submissions (850 regular, 15 short and 16 tool papers). The focus of the papers in on following topics: maximum satisfiability, encodings and applications, solver techniques and algorithms, clique-width and SAT, propositional proof complexity, parameterized complexity.
Computability and Complexity
| Author | : Neil D. Jones |
| Publisher | : MIT Press |
| Total Pages | : 494 |
| Release | : 1997 |
| Genre | : Computers |
| ISBN | : 9780262100649 |
Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially programming. In a shift away from the Turing machine- and G�del number-oriented classical approaches, Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists and more applicable to practical programming problems. According to Jones, the fields of computability and complexity theory, as well as programming languages and semantics, have a great deal to offer each other. Computability and complexity theory have a breadth, depth, and generality not often seen in programming languages. The programming language community, meanwhile, has a firm grasp of algorithm design, presentation, and implementation. In addition, programming languages sometimes provide computational models that are more realistic in certain crucial aspects than traditional models. New results in the book include a proof that constant time factors do matter for its programming-oriented model of computation. (In contrast, Turing machines have a counterintuitive "constant speedup" property: that almost any program can be made to run faster, by any amount. Its proof involves techniques irrelevant to practice.) Further results include simple characterizations in programming terms of the central complexity classes PTIME and LOGSPACE, and a new approach to complete problems for NLOGSPACE, PTIME, NPTIME, and PSPACE, uniformly based on Boolean programs. Foundations of Computing series
Behaviourism in Studying Swarms: Logical Models of Sensing and Motoring
| Author | : Andrew Schumann |
| Publisher | : Springer |
| Total Pages | : 477 |
| Release | : 2018-05-25 |
| Genre | : Technology & Engineering |
| ISBN | : 3319915428 |
This book presents fundamental theoretical results for designing object-oriented programming languages for controlling swarms. It studies the logics of swarm behaviours. According to behaviourism, all behaviours can be controlled or even managed by stimuli in the environment: attractants (motivational reinforcement) and repellents (motivational punishment). At the same time, there are two main stages in reactions to stimuli: sensing (perceiving signals) and motoring (appropriate direct reactions to signals). This book examines the strict limits of behaviourism from the point of view of symbolic logic and algebraic mathematics: how far can animal behaviours be controlled by the topology of stimuli? On the one hand, we can try to design reversible logic gates in which the number of inputs is the same as the number of outputs. In this case, the behaviouristic stimuli are inputs in swarm computing and appropriate reactions at the motoring stage are its outputs. On the other hand, the problem is that even at the sensing stage each unicellular organism can be regarded as a logic gate in which the number of outputs (means of perceiving signals) greatly exceeds the number of inputs (signals).
Emergent Computation
| Author | : Andrew Adamatzky |
| Publisher | : Springer |
| Total Pages | : 641 |
| Release | : 2016-11-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3319463764 |
This book is dedicated to Professor Selim G. Akl to honour his groundbreaking research achievements in computer science over four decades. The book is an intellectually stimulating excursion into emergent computing paradigms, architectures and implementations. World top experts in computer science, engineering and mathematics overview exciting and intriguing topics of musical rhythms generation algorithms, analyse the computational power of random walks, dispelling a myth of computational universality, computability and complexity at the microscopic level of synchronous computation, descriptional complexity of error detection, quantum cryptography, context-free parallel communicating grammar systems, fault tolerance of hypercubes, finite automata theory of bulk-synchronous parallel computing, dealing with silent data corruptions in high-performance computing, parallel sorting on graphics processing units, mining for functional dependencies in relational databases, cellular automata optimisation of wireless sensors networks, connectivity preserving network transformers, constrained resource networks, vague computing, parallel evolutionary optimisation, emergent behaviour in multi-agent systems, vehicular clouds, epigenetic drug discovery, dimensionality reduction for intrusion detection systems, physical maze solvers, computer chess, parallel algorithms to string alignment, detection of community structure. The book is a unique combination of vibrant essays which inspires scientists and engineers to exploit natural phenomena in designs of computing architectures of the future.
