Tapsoft 87 Proceedings Of The International Joint Conference On Theory And Practice Of Software Development Pisa Italy March 23 27 1987

This Festschrift volume contains 28 refereed papers including personal memories, essays, and regular research papers by close collaborators and friends of José Meseguer to honor him on the occasion of his 65th birthday. These papers were presented at a symposium at the University of Illinois at Urbana-Champaign on September 23-25, 2015. The symposium also featured invited talks by Claude and Hélène Kirchner and by Patrick Lincoln. The foreword of this volume adds a brief overview of some of José's many scientific achievements followed by a bibliography of papers written by José.

This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.

Worked problems offer an interesting way to learn and practice with key concepts of string algorithms and combinatorics on words.