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A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs.
This book constitutes the proceedings of the 28th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2019, held in London, UK, in September 2019, colocated with the 12th International Symposium on Frontiers on Combining Systems, FroCoS 2019. The 25 full papers presented were carefully reviewed and selected from 43 submissions.They present research on all aspects of the mechanization of tableaux-based reasoning and related methods, including theoretical foundations, implementation techniques, systems development and applications. The papers are organized in the following topical sections: tableau calculi, sequent calculi, semantics and combinatorial proofs, non-wellfounded proof systems, automated theorem provers, and logics for program or system verification.
This book constitutes the refereed proceedings of the 21st International Conference on Practical Aspects of Declarative Languages, PADL 2019, held in Lisbon, Portugal, in January 2019. The 14 revised full papers were carefully reviewed and selected from 35 submissions. The papers present original work emphasizing novel applications and implementation techniques for all forms of declarative concepts, including logic, constraint, and functional languages.
This book constitutes the refereed proceedings of the 24th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2015, held in Wroclaw, Poland, in September 2015. The 19 full papers and 2 papers presented in this volume were carefully reviewed and selected from 34 submissions. They are organized in topical sections named: tableaux calculi; sequent calculus; resolution; other calculi; and applications.
This book constitutes the refereed proceedings of the 1998 International Conference on Analytic Tableaux and Related Methods, TABLEAUX'98, held in Oisterwijk near Tilburg, The Netherlands, in May 1998. The volume presents 17 revised full papers and three system descriptions selected from 34 submissions; also included are several abstracts of invited lectures, tutorials, and system comparison papers. The book presents new research results for automated deduction in various non-standard logics as well as in classical logic. Areas of application include software verification, systems verification, deductive databases, knowledge representation and its required inference engines, and system diagnosis.
Proof theory has long been established as a basic discipline of mathematical logic. It has recently become increasingly relevant to computer science. The - ductive apparatus provided by proof theory has proved useful for metatheoretical purposes as well as for practical applications. Thus it seemed to us most natural to bring researchers together to assess both the role proof theory already plays in computer science and the role it might play in the future. The form of a Dagstuhl seminar is most suitable for purposes like this, as Schloß Dagstuhl provides a very convenient and stimulating environment to - scuss new ideas and developments. To accompany the conference with a proc- dings volume appeared to us equally appropriate. Such a volume not only ?xes basic results of the subject and makes them available to a broader audience, but also signals to the scienti?c community that Proof Theory in Computer Science (PTCS) is a major research branch within the wider ?eld of logic in computer science.
In Logical Frameworks, Huet and Plotkin gathered contributions from the first International Workshop on Logical Frameworks. This volume has grown from the second workshop, and as before the contributions are of the highest calibre. Four main themes are covered: the general problem of representing formal systems in logical frameworks, basic algorithms of general use in proof assistants, logical issues, and large-scale experiments with proof assistants.
This volume contains the papers presented at the 13th Annual Asian Comp- ing Science Conference (ASIAN 2009) held in Seoul, South Korea, December 14-16, 2009. The theme of this year's conference was “Information Security and Privacy: Theory and Practice.” The series of annual Asian Computing Science Conferences (ASIAN) was initiated in 1995 by AIT, INRIA and UNU/IIST to provideaforumforresearchersincomputersciencefromtheAsiancontinentand to promote interaction with researchers in other regions. Accordingly, the c- ference moves every year to a di?erent center of research throughout Asia. This year ASIAN was co-located with the 7th Asian Symposium on Programming Languages and Systems (APL...
This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
Inferentialism as a theory of meaning builds on the idea that what a linguistic expression means depends exclusively on the inferential rules that govern its use. Following different strategies and exploring various case studies, the authors of this collection of essays discuss under what circumstances and to what extent the central tenets of inferentialism are tenable. The essays in this volume present the results of a three-year research project “Representation and Inference” which was conducted from the beginning of 2008 to the end 2010. The aim of the project was to assess the research program of inferentialism as it has been pursued recently by Robert Brandom, Mark Lance, and Jaroslav Peregrin. Earlier versions of these texts were presented at the conference “Inference, Consequence, and Meaning” held in Sofia on the 3rd and 4th of December, 2008.