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Advances in Proof-Theoretic Semantics

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Book Series: Trends in Logic ISSN: 15726126 ISBN: 9783319226859 9783319226866 Year: Volume: 43 Pages: 283 DOI: 10.1007/978-3-319-22686-6 Language: English
Publisher: Springer Nature
Subject: Mathematics --- Statistics --- Philosophy
Added to DOAB on : 2016-06-08 18:00:12
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This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory.The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.

Foundations of Software Science and Computation Structures

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Book Series: Lecture Notes in Computer Science; Theoretical Computer Science and General Issues ISBN: 9783030452315 Year: Pages: 644 DOI: 10.1007/978-3-030-45231-5 Language: English
Publisher: Springer Nature
Subject: Mathematics --- Computer Science
Added to DOAB on : 2020-05-14 09:30:23
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This open access book constitutes the proceedings of the 23rd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2020, which took place in Dublin, Ireland, in April 2020, and was held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The 31 regular papers presented in this volume were carefully reviewed and selected from 98 submissions. The papers cover topics such as categorical models and logics; language theory, automata, and games; modal, spatial, and temporal logics; type theory and proof theory; concurrency theory and process calculi; rewriting theory; semantics of programming languages; program analysis, correctness, transformation, and verification; logics of programming; software specification and refinement; models of concurrent, reactive, stochastic, distributed, hybrid, and mobile systems; emerging models of computation; logical aspects of computational complexity; models of software security; and logical foundations of data bases.​

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