This second volume of Handbook of Automated Reasoning covers topics such as higher-order logic and logical frameworks, higher-order unification and matching, logical frameworks, proof-assistants using dependent type systems, and nonclassical logics.

This book constitutes the refereed proceedings of the 11th International Andrei P. Ershov Informatics Conference, PSI 2017, held in Moscow, Russia, in June 2017. The 31 full papers presented in this volume were carefully reviewed and selected from 57 submissions. The papers cover various topics related to the foundations of program and system development and analysis, programming methodology and software engineering and information technologies.

This book constitutes the proceedings of the 20th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR-20, held in November 2015, in Suva, Fiji. The 43 regular papers presented together with 1 invited talk included in this volume were carefully reviewed and selected from 92 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning, LPAR, is a forum where, year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cutting-edge results, to discuss advances in these fields, and to exchange ideas in a scientifically emerging part of the world.

This book contains the thoroughly refereed papers from the 9th International Ershov Informatics Conference, PSI 2014, held in St. Petersburg, Russia, in June 2014. The 17 revised full papers, 11 revised short papers, and 2 system and experimental papers presented in this book were carefully reviewed and selected from 80 submissions. The volume also contains 5 keynote talks which cover a range of hot topics in computer science and informatics. The papers cover various topics related to the foundations of program and system development and analysis, programming methodology and software engineering and information technologies.

This book constitutes the proceedings of the 19th International Conference on Logic for Programming, Artificial Intelligence and Reasoning, LPAR-19, held in December 2013 in Stellenbosch, South Africa. The 44 regular papers and 8 tool descriptions and experimental papers included in this volume were carefully reviewed and selected from 152 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning (LPAR) is a forum where year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cutting-edge results, to discuss advances in these fields and to exchange ideas in a scientifically emerging part of the world.

This Festschrift volume, published in memory of Harald Ganzinger, contains 17 papers from colleagues all over the world and covers all the fields to which Harald Ganzinger dedicated his work during his academic career. The volume begins with a complete account of Harald Ganzinger's work and then turns its focus to the research of his former colleagues, students, and friends who pay tribute to him through their writing. Their individual papers span a broad range of topics, including programming language semantics, analysis and verification, first-order and higher-order theorem proving, unification theory, non-classical logics, reasoning modulo theories, and applications of automated reasoning in biology.

This book contains thoroughly refereed and revised papers from the 8th International Andrei Ershov Memorial Conference on Perspectives of System Informatics, PSI 2011, held in Akademgorodok, Novosibirsk, Russia, in June/July 2011. The 18 revised full papers and 10 revised short papers presented were carefully reviewed and selected from 60 submissions. The volume also contains 5 invited papers covering a range of hot topics in computer science and informatics. The papers are organized in topical sections on foundations of program and system development and analysis, partial evaluation, mixed computation, abstract interpretation, compiler construction, computer models and algorithms for bioinformatics, programming methodology and software engineering, information technologies, knowledge-based systems, and knowledge engineering.

This book constitutes the proceedings of the 18th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR-18, held in Merida, Venezuela, in March 2012. The 25 regular papers and 6 tool descriptions and experimental papers presented were carefully reviewed and selected from 74 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning (LPAR) is a forum where, year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cutting-edge results, to discuss advances in these fields, and to exchange ideas in a scientifically emerging part of the world.

This volume contains the ?nal proceedings of the 7th International Andrei Ershov Memorial Conference on Perspectives of System Informatics Akad- gorodok (Novosibirsk, Russia), June 15-19, 2009. PSI is a forum for academic and industrial researchers, developers and users working on topics relating to computer, software and information sciences. The conference serves to bridge the gaps between di?erent communities whose - searchareasarecoveredbybutnotlimitedtofoundationsofprogramandsystem development and analysis, programming methodology and softwareengineering, and information technologies. PSI 2009 was dedicated to the memory of a prominent scientist, academician Andrei Ershov (1931-1988), and to a signi?cant date in the history of computer science in the country, namely, the 50th anniversary of the Programming - partment founded by Andrei Ershov. Initially, the department was a part of the Institute of Mathematics and later, in 1964, it joined the newly established Computing Center of the Siberian Branch of the USSR Academy of Sciences. Andrei Ershov, who was responsible for forming the department, gathered a team of young graduates from leading Soviet universities. The ?rst signi?cant project of the department was aimed at the development of ALPHA system, an optimizing compiler for an extension of Algol 60 implemented on a Soviet c- puterM-20. Later, theresearchersofthedepartmentcreatedtheAlgibr, Epsilon, Sigma, and Alpha-6 programming systems for the BESM-6 computers. The list of their achievements also includes the ?rst Soviet time-sharing system AIST-0, the multi-language system BETA, research projects in arti?cial intelligence and parallel programming, integrated tools for text processing and publishing, and many othe

This volume contains the papers presented at the 15th International Conference on Logic for Programming, Arti?cial Intelligence, and Reasoning (LPAR) held November22-27inDoha, QataronthepremisesoftheQatarcampusofCarnegie Mellon University. In its 15th edition, LPAR looked back at a rich history. The conference evolved out of the First and Second Russian Conferences on Logic Progr- ming, held in Irkutsk, in 1990, and aboard the ship "Michail Lomonosov" in 1991. The idea of organizing the conference came largely from Robert Kowalski, who also proposed the creation of the Russian Association for Logic Progr- ming. In 1992, it was decided to extend the scope of the conference. Due to considerableinterestinautomatedreasoningintheformerSovietUnion, thec- ference was renamed Logic Programming and Automated Reasoning (LPAR). Under this name three meetings were held during 1992-1994: again on board the ship "Michail Lomonosov" (1992), in St. Petersburg, Russia (1993), and on board the ship "Marshal Koshevoi" (1994). In 1999, the conference was held in Tbilisi, Georgia. At the suggestion of Michel Parigot, the conference changed its nameagaintoLogicforProgrammingandAutomatedReasoning(preservingthe acronym LPAR ) re?ecting an interest in additional areas of logic. LPAR 2000 was held on Reunion Island, France. In 2001, the name (but not the acronym) changed again to its current form. The 8th to the 14th meetings were held in the following locations: Havana, Cuba (2001) Tbilisi, Georgia (2002); Almaty, Kazakhstan(2003);Montevideo, Uruguay(2004);MontegoBay, Jamaica(2005); Phnom Penh, Cambodia (2006); and Yerevan, Armenia (2007).

ThisvolumecontainsthepaperspresentedatRTA2008:19thInternationalC- ference on Rewriting Techniques and Applications held July 15-17th in Hag- berg, AustriaandorganisedbytheResearchInstituteonSymbolicComputation. There were 57 submissions. Each submission was reviewed by at least four Programme Committee members. The committee decided to accept 30 papers. The submission and Programme Committee work was organised through the EasyChair system. I thank the Programme Committee members for their very e?cient work. My special thanks to Temur Kutsia, Aart Middeldorp, Robert Nieuwenhuis and Maribel Fernandez for their help and advice on many aspects of the RTA - ganisation and traditions. I would also like to thank RTA General Chair Bruno Buchberger. April 2008 Andrei Voronkov Conference Organisation General Chair Bruno Buchberger (Johannes Kepler University Linz) Programme Chair Andrei Voronkov (University of Manchester) Organising Committee Chair Temur Kutsia (Johannes Kepler University Linz) Programme Committee Maribel Fern andez (King's College London) Neil Ghani (University of Nottingham) J] urgen Giesl (RWTH Aachen) Guillem Godoy (Universidad Polit ecnica de Cataluna ) Jean Goubault-Larrecq (ENS Cachan) Tetsuo Ida (University of Tsukuba) Claude Kirchner (INRIA) Konstantin Korovin (University of Manchester) Temur Kutsia (Johannes Kepler University Linz) Aart Middeldorp (University of Innsbruck) Paliath Narendran (University at Albany - SUNY) Robert Nieuwenhuis (Universidad Polit ecnica de Cataluna ) Micha] el Rusinowitch (LORIA-INRIA) Aaron Stump (Washington University in St."

This book constitutes the refereed proceedings of the 14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2007, held in Yerevan, Armenia, October 15-19, 2007.

The 36 revised full papers presented together with 15 short papers and 3 invited talks were carefully reviewed and selected from 78 submissions. The papers address all current issues in logic programming, logic-based program manipulation, formal method, automated reasoning, and various kinds of AI logics.

This book constitutes the refereed proceedings of the Second International Symposium on Computer Science in Russia, CSR 2007, held in Ekaterinburg, Russia, September 3-7, 2007

The 35 revised papers presented were carefully reviewed and selected from 95 submissions. All major areas in computer science are addressed; the theory track deals with algorithms, protocols, and data structures; complexity and cryptography; formal languages, automata and their applications to computer science; computational models and concepts; proof theory and applications of logic to computer science. The application part comprises programming and languages; computer architecture and hardware design; symbolic computing and numerical applications; application software; artificial intelligence and robotics.

This book constitutes the thoroughly refereed postconference proceedings of the 6th International Andrei Ershov Memorial Conference, PSI 2006, held in Akademgorodok, Novosibirsk, Russia in June 2006.

The 30 revised full papers and 10 revised short papers presented together with 5 invited papers were carefully reviewed and selected from 108 submissions during two rounds of evaluation and improvement. The papers address all current aspects of theoretical computer science, programming methodology, and new information technologies, which are among the most important contributions of system informatics.

This book constitutes the refereed proceedings of the 13th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2006, held in Phnom Penh, Cambodia in November 2006. The 38 revised full papers presented together with one invited talk were carefully reviewed and selected from 96 submissions.

This volume containsthe full papers presentedat the 12th InternationalConf- ence on Logic for Programming, Arti?cial Intelligence, and Reasoning (LPAR), held 2-6 December 2006,in MontegoBay,Jamaica.The callfor papersattracted 108 full paper submissions, each of which were reviewed by at least three - viewers. The Program Committee accepted the 46 papers that appear in these proceedings. The conference program also included 4 invited talks, by Tom Ball of Microsoft Research, Doug Lenat of Cycorp, Roberto Nieuwenhuis of the U- versidad Polit' ecnica de Cataluna " , and Allen Van Gelder of the University of California at Santa Cruz. Papers or abstracts for the invited talks are in these proceedings. In addition to the main program, the conference o?ered a short paper track, which attracted 13 submissions, of which 12 were accepted, and the Workshop on Emperically Successful Higher Order Logic (ESHOL). Thanks go to: the authors (of both accepted and rejected papers); the P- gramCommitteeandtheirreviewers;theinvitedspeakers;ChristophBenzmuller .. , John Harrison, and Carsten Schur .. mann for organizing ESHOL; Celia Alleyne- Ebanks for administering the conference in Jamaica; the Honorable Minister Phillip Paulwell of the Ministry of Commerce, Science and Technology for op- ing the conference (and Daphne Simmonds for introducing us to the minister); the Mona Institute of Applied Sciences at the University of the West Indies for their support; Microsoft Research for sponsorship of student regsitrations; the Kurt Godel . . Society for taking registrations; and EasyChair for hosting the review process.

ThisvolumecontainsthepaperspresentedattheTenthInternationalConference on Logic for Programming, Arti?cial Intelligence, and Reasoning (LPAR 2003), heldonSeptember22-26,2003, inAlmaty, Kazakhstan, togetherwiththeFourth International Workshop on Implementation of Logics. There were 65 submissions, of which 8 belonged to the special submission category of experimental papers, intended to describe implementations or c- parisons of systems, or experiments with systems. Each submission was reviewed by at least three program committee members and an electronic program c- mitteemeetingwasheldviatheInternet.Weareverygratefultothe32program committee members for their e?orts and for the quality of their reviews and d- cussions. Finally, the committee decided to accept 27 papers. The program also included ?ve invited talks, by Franz Baader, Serikzhan Badaev, Dexter Kozen, Sergei Goncharov, and Thomas Wilke. Apart from the program committee, we would also like to thank the other people who have made LPAR 2003 possible: the external reviewers and the local organizers Serikzhan Badaev and Anna Romina. The Internet-based submission software and the program-committee disc- sion software were provided by the second co-cha

This book constitutes the refereed proceedings of the 9th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2002, held in Tbilisi, Georgia in October 2002.The 30 revised full papers presented were carefully reviewed and selected from 68 submissions. Among the topics covered are constraint programming, formal software enginering, formal verification, resolution, unification, proof planning, agent splitting, binary decision diagrams, binding, linear logic, Isabelle theorem prover, guided reduction, etc.

This book constitutes the refereed proceedings of the 18th International Conference on Automated Deduction, CADE - 18, held in Copenhagen, Denmark, in July 2002.The 27 revised full papers and 10 system descriptions presented together with three invited contributions were carefully reviewed and selected from 70 submissions. The book offers topical sections on description logics and the semantic Web, proofcarrying code and compiler verifications, non-classical logics, system descriptions, SAT, model generation, CASC, combination and decision procedures, logical frameworks, model checking, equational reasoning, and proof theory.

This volume contains the papers presented at the Eighth International C- ference on Logic for Programming, Arti?cial Intelligence and Reasoning (LPAR 2001), held on December 3-7, 2001, at the University of Havana (Cuba), together with the Second International Workshop on Implementation of Logics. There were 112 submissions, of which 19 belonged to the special subm- sion category of experimental papers, intended to describe implementations or comparisons of systems, or experiments with systems. Each submission was - viewed by at least three program committee members and an electronic program committee meeting was held via the Internet. The high number of submissions caused a large amount of work, and we are very grateful to the other 31 PC members for their e?ciency and for the quality of their reviews and discussions. Finally, the committee decided to accept 40papers in the theoretical ca- gory, and 9 experimental papers. In addition to the refereed papers, this volume contains an extended abstract of the invited talk by Frank Wolter. Two other invited lectures were given by Matthias Baaz and Manuel Hermenegildo. Apart from the program committee, we would also like to thank the other people who made LPAR 2001 possible: the additional referees; the Local Arran- gements Chair Luciano Garc?a; Andres Navarro and Oscar Guell, ] who ran the internet-based submission software and the program committee discussion so- ware at the LSI Department lab in Barcelona; and Bill McCune, whose program committee management software was used."

This volumecontains the papers presentedatthe SeventhInternationalC- ference on Logicfor Programmingand Automated Reasoning (LPAR 2000)held onReunionIsland, France,6 10November2000, followedbythe ReunionWo- shop on Implementation of Logic. Sixty-?ve papers were submitted to LPAR 2000 of which twenty-six papers were accepted. Submissions by the program committee members were not - lowed. There was a special category of experimental papers intended to describe implementations of systems, to report experiments with implemented systems, orto compareimplementedsystems.Eachof thesubmissionswasreviewedbyat least three program committee members and an electronic program committee meeting was held via the Internet. In addition to the refereed papers, this volume contains full papers by two of the four invited speakers, Georg Gottlob and Micha] el Rusinowitch, along with an extended abstract of Bruno Courcelle s invited lecture and an abstract of Erich Gr] adel s invited lecture. WewouldliketothankthemanypeoplewhohavemadeLPAR2000possible. We are grateful to the following groups and individuals: the program and or- nizing committees; the additional referees; the local arrangements chair Teodor Knapik; PascalManoury, who was in chargeof accommodation; Konstantin - rovin, whomaintainedthe programcommittee Webpage;andBillMcCune, who implemented the program committee management software."

This first volume of the Handbook of Automated Reasoning includes topics such as: the early history of automated deduction, classical logic - resolution theorem proving, and tableaux and related methods.

This volume contains the papers presented at the Sixth International Conference on Logic for Programming and Automated Reasoning (LPAR'99), held in Tbilisi, Georgia, September 6-10, 1999, and hosted by the University of Tbilisi. Forty-four papers were submitted to LPAR'99. Each of the submissions was reviewed by three program committee members and an electronic program com mittee meeting was held via the Internet. Twenty-three papers were accepted. We would like to thank the many people who have made LPAR'99 possible. We are grateful to the following groups and individuals: to the program committee and the additional referees for reviewing the papers in a very short time, to the organizing committee, and to the local organizers of the INTAS workshop in Tbilisi in April 1994 (Khimuri Rukhaia, Konstantin Pkhakadze, and Gela Chankvetadze). And last but not least, we would like to thank Konstantin - rovin, who maintained the program committee Web page; Uwe Waldmann, who supplied macros for these proceedings and helped us to install some programs for the electronic management of the program committee work; and Bill McCune, who implemented these programs."

This book constitutes the thoroughly refereed and revised post-workshop proceedings of two international meetings devoted to deductive databases and logic programming.
The technical papers presenting original research results were carefully reviewed and selected for inclusion in the present book, together with several survey articles summarizing the state of the art in the area. Thus, the book is the ultimate reference for anybody interested in the theory and application of deductive databases and logic programming.

LPAR is an international conference series aimed at bringing together researchers interested in logic programming and automated reasoning. The research in logic programming grew out of the research in automated reasoning in the early 1970s. Later, the implementation techniques known from logic programming were used in implementing theorem proving systems. Results from both fields applied to deductive databases. This volume contains the proceedings of LPAR '93, which was organized by the Russian Association for Logic Programming. The volume contains 35 contributed papers selected from 84 submissions, together with an invited paper by Peter Wegner entitled "Reasoning versus modeling in computer science."