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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.
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.
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