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Programming --- Computer science --- Computer software --- Verification --- Computer software - Verification. --- Computer software - Verification

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This book is a monograph on the topic of Proof-Theoretic Semantics, a theory of meaning constituting an alternative to the more traditional Model-Theoretic Semantics. The latter regards meaning as truth-conditions (in arbitrary models), the former regards meaning as canonical derivability conditions in a meaning-conferring natural-deduction proof-system. In the first part of the book, the Proof-Theoretic Semantics for logic is presented. It surveys the way a natural-deduction system can serve as meaning-conferring, and in particular analyses various criteria such a system has to meet in order to qualify as meaning-conferring. A central criterion is harmony, a balance between introduction-rules and elimination-rules. The theory is applied to various logics, e.g., relevance logic, and various proof systems such as multi-conclusion natural-deduction and bilateralism. The presentation is inspired by recent work by the author, and also surveys recent developments. In part two, the theory is applied to fragments of natural language, both extensional and intensional, a development based on the author's recent work. For example, conservativity of determiners, once set up in a proof-theoretic framework, becomes a provable property of all (regular) determiners. It is shown that meaning need not carry the heavy ontological load characteristic of Model-Theoretic Semantics of complex natural language constructs. Nissim Francez is an emeritus professor of computer science at the Technion, Israel Institute of Technology. At a certain point in his career he moved from research related to concurrent and distributed programming and program verification to research in computational linguistics, mainly formal semantics of natural language. In recent years, he has worked on Proof-Theoretic Semantics, in particular for natural language.

Logic, symbolic and mathematical --- Proof theory --- Semantics

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This Festschrift volume, published in honor of Nissim Francez on the occasion of his 65th birthday, contains 15 papers, written by friends and colleagues, many of whom congregated at a celebratory symposium held on May 24-25, 2009, in Haifa, Israel. The theme of the symposium was Languages: From Formal to Natural, reflecting the focus of Nissim Francez' research career, which started in program verification and the semantics of programming languages and later concentrated on natural languages and computational linguistics. The papers included in this volume cover the entire spectrum of this field of research.

Mathematical Theory --- Computer Science --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computer programming. --- Programming languages (Electronic computers) --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Computers --- Electronic computer programming --- Electronic data processing --- Electronic digital computers --- Programming (Electronic computers) --- Programming --- Computer science. --- Arithmetic and logic units, Computer. --- Computers. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Mathematical Logic and Foundations. --- Logics and Meanings of Programs. --- Theory of Computation. --- Arithmetic and Logic Structures. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Arithmetic and logic units, Computer --- Computer arithmetic --- Informatics --- Science --- Circuits --- Coding theory --- Languages, Artificial --- Logic, Symbolic and mathematical. --- Logic design. --- Information theory. --- Communication theory --- Communication --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory

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