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This volume is the first ever collection devoted to the field of prooftheoretic 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, prooftheoretic 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 prooftheoretic semantics has existed for almost 50 years, but the term itself was proposed by SchroederHeister in the 1980s. Prooftheoretic 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 ProofTheoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a selfcontained 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.
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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.
Mathematical Logic and Foundations  Discrete Mathematics in Computer Science  Programming Languages, Compilers, Interpreters  Programming Techniques  Logic in AI  Computer Systems Organization and Communication Networks  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  emerging models of computation  logical aspects of computational complexity  models of software security  logical foundations of data bases  mathematics  artificial intellegence  formal logic  linguistics  Mathematical foundations  Mathematical logic  Discrete mathematics  Maths for computer scientists  Programming & scripting languages: general  Compilers & interpreters  Computer programming / software engineering  Artificial intelligence  Computer networking & communications
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