Hajnal Andréka and István Németi on Unity of Science : from computing to relativity theory through Algebraic Logic
著者
書誌事項
Hajnal Andréka and István Németi on Unity of Science : from computing to relativity theory through Algebraic Logic
（Outstanding contributions to logic, v. 19）
Springer, c2021
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book features more than 20 papers that celebrate the work of Hajnal Andreka and Istvan Nemeti. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives.
Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime.
The short autobiographies of Hajnal Andreka and Istvan Nemeti at the end of the book describe an adventurous journey from electric engineering and Maxwell's equations to a complex system of computer programs for designing Hungary's electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.
目次
Part I. Computer Science, Machine Intelligence, Logic of Programs
Dannert, K. M., Graedel, E.: Semiring provenance for guarded logics.
Diaconescu, R.: Implicit Partiality of Signature Morphisms in Institution Theory.
Gottlob, G., Pieris, A.: An Overview of Query-Answering and Reasoning with Datalog+/-.
Pratt, V.: Action axioms, algebraically.
Pratt-Hartmann, I.: Adding Guarded Constructions to the (Relational) Syllogistic.
Tucker, J.: tba
Part II . Algebraic Logic, Algebra, Logic
Benthem, J.: tba
Duentsch, I., Dzik, W., Orlowska, E.: Decomposing the discriminator in the semilattice of modal operators.
Goldblatt, R.: Generalising Grzegorczyks logic by bounding cluster size.
Hirsch-Hodkinson-Jackson: Undecidable decision problems for binary relations.
Jipsen, P.: relation algebras, residuated lattices and algebraic logic
Maddux, R.D.: On canonical relativized relation and cylindric set algebras.
Plotkin, B., Plotkin, E.: Algebraic logic and logic geometry defined in universal algebra.
Pratt, V: Universal algebra as a foreign language.
Sayed-Ahmed, T.: A brief history of Tarskian algebraic logic as enhanced by the outstanding contributions of Andreka and Nemeti.
Part III. Relativity Theory, spacetime, methodology of science
Dewar, N.: Freeing structuralism from model theory.
Friedman, H.: Foundational thinking.
Formica, G., Friend, M.: In the footsteps of Hilbert: the logical foundations of theories in physics
Halvorson, H.: The network of theories.
Manchak, J.B.: Internal and external properties of spacetime.
Weatherall: Why not categorical equivalence?
Wuthrich, C.: Time travelling in emergent spacetime.
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