First Order Schemata Inductive Proof by Leitsch Alexander (9 results)
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Hardcover. Condition: new. Hardcover. Schemata are formal tools for describing inductive reasoning. They opened a new area in the analysis of inductive proofs.The book introduces schemata for first-order terms, first-order formulas and first-order inference systems. Based on general first-order schemata, the cut-elimination-by-r…esolution (CERES) methoddeveloped around the year 2000is extended to schematic proofs. This extension requires the development of schematic methods for resolution and unification which are defined in this book. The added value of proof schemata compared to other inductive approaches consists in the extension of Herbrands theorem to inductive proofs (in the form of Herbrand systems, which can be constructed effectively). An application to an analysis of mathematical proof is given. The work also contains and extends the newest results on schematic unification and corresponding algorithms.Core topics covered:first-order schematacut-elimination by resolutionpoint transition systemsschematic resolutionHerbrand systemsinductive proof analysisThis volume is the first comprehensive work on first-order schemata and their applications. As such, it will be eminently suitable for researchers and PhD students in logic and computer science either working or with an interest in proof theory, inductive reasoning and automated deduction. Prerequisites are a firm knowledge of first-order logic, basic knowledge of automated deduction and a background in theoretical computer science.Alexander Leitsch and Anela Lolic are affiliated with the Institute of Logic and Computation of the Technische Universitaet Wien, David M. Cerna with the Czech Academy of Sciences, Institute of Computer Science (Ustav informatiky AV CR, v.v.i.). Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Hardcover. Condition: new. Hardcover. Schemata are formal tools for describing inductive reasoning. They opened a new area in the analysis of inductive proofs.The book introduces schemata for first-order terms, first-order formulas and first-order inference systems. Based on general first-order schemata, the cut-elimination-by-r…esolution (CERES) methoddeveloped around the year 2000is extended to schematic proofs. This extension requires the development of schematic methods for resolution and unification which are defined in this book. The added value of proof schemata compared to other inductive approaches consists in the extension of Herbrands theorem to inductive proofs (in the form of Herbrand systems, which can be constructed effectively). An application to an analysis of mathematical proof is given. The work also contains and extends the newest results on schematic unification and corresponding algorithms.Core topics covered:first-order schematacut-elimination by resolutionpoint transition systemsschematic resolutionHerbrand systemsinductive proof analysisThis volume is the first comprehensive work on first-order schemata and their applications. As such, it will be eminently suitable for researchers and PhD students in logic and computer science either working or with an interest in proof theory, inductive reasoning and automated deduction. Prerequisites are a firm knowledge of first-order logic, basic knowledge of automated deduction and a background in theoretical computer science.Alexander Leitsch and Anela Lolic are affiliated with the Institute of Logic and Computation of the Technische Universitaet Wien, David M. Cerna with the Czech Academy of Sciences, Institute of Computer Science (Ustav informatiky AV CR, v.v.i.). Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
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- Hardcover
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Hardcover. Condition: new. Hardcover. Schemata are formal tools for describing inductive reasoning. They opened a new area in the analysis of inductive proofs.The book introduces schemata for first-order terms, first-order formulas and first-order inference systems. Based on general first-order schemata, the cut-elimination-by-r…esolution (CERES) methoddeveloped around the year 2000is extended to schematic proofs. This extension requires the development of schematic methods for resolution and unification which are defined in this book. The added value of proof schemata compared to other inductive approaches consists in the extension of Herbrands theorem to inductive proofs (in the form of Herbrand systems, which can be constructed effectively). An application to an analysis of mathematical proof is given. The work also contains and extends the newest results on schematic unification and corresponding algorithms.Core topics covered:first-order schematacut-elimination by resolutionpoint transition systemsschematic resolutionHerbrand systemsinductive proof analysisThis volume is the first comprehensive work on first-order schemata and their applications. As such, it will be eminently suitable for researchers and PhD students in logic and computer science either working or with an interest in proof theory, inductive reasoning and automated deduction. Prerequisites are a firm knowledge of first-order logic, basic knowledge of automated deduction and a background in theoretical computer science.Alexander Leitsch and Anela Lolic are affiliated with the Institute of Logic and Computation of the Technische Universitaet Wien, David M. Cerna with the Czech Academy of Sciences, Institute of Computer Science (Ustav informatiky AV CR, v.v.i.). Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Language: English
Published by Birkhäuser, Springer International Publishing Jan 2026, 2026
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Schemata are formal tools for describing inductive reasoning. They opened a new area in the analysis of inductive proofs.The book introduces schemata for first-order terms, first-order formulas and first-order inference systems. Based on g…eneral first-order schemata, the cut-elimination-by-resolution (CERES) method developed around the year 2000 is extended to schematic proofs. This extension requires the development of schematic methods for resolution and unification which are defined in this book. The added value of proof schemata compared to other inductive approaches consists in the extension of Herbrand s theorem to inductive proofs (in the form of Herbrand systems, which can be constructed effectively). An application to an analysis of mathematical proof is given. The work also contains and extends the newest results on schematic unification and corresponding algorithms.Core topics covered:first-order schematacut-elimination by resolutionpoint transition systemsschematic resolutionHerbrand systemsinductive proof analysisThis volume is the first comprehensive work on first-order schemata and their applications. As such, it will be eminently suitable for researchers and PhD students in logic and computer science either working or with an interest in proof theory, inductive reasoning and automated deduction. Prerequisites are a firm knowledge of first-order logic, basic knowledge of automated deduction and a background in theoretical computer science.Alexander Leitsch and Anela Lolic are affiliated with the Institute of Logic and Computation of the Technische Universität Wien, David M. Cerna with the Czech Academy of Sciences, Institute of Computer Science (Ústav informatiky AV CR, v.v.i.). 256 pp. Englisch.
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Schemata are formal tools for describing inductive reasoning. They opened a new area in the analysis of inductive proofs.The book introduces schemata for first-order terms, first-order formulas and first-order inference systems. Based on gener…al first-order schemata, the cut-elimination-by-resolution (CERES) methoddeveloped around the year 2000is extended to schematic proofs. This extension requires the development of schematic methods for resolution and unification which are defined in this book. The added value of proof schemata compared to other inductive approaches consists in the extension of Herbrand's theorem to inductive proofs (in the form of Herbrand systems, which can be constructed effectively). An application to an analysis of mathematical proof is given. The work also contains and extends the newest results on schematic unification and corresponding algorithms.Core topics covered:first-order schematacut-elimination by resolutionpoint transition systemsschematic resolutionHerbrand systemsinductive proof analysisThis volume is the first comprehensive work on first-order schemata and their applications. As such, it will be eminently suitable for researchers and PhD students in logic and computer science either working or with an interest in proof theory, inductive reasoning and automated deduction. Prerequisites are a firm knowledge of first-order logic, basic knowledge of automated deduction and a background in theoretical computer science.Alexander Leitsch and Anela Lolic are affiliated with the Institute of Logic and Computation of the Technische Universität Wien, David M. Cerna with the Czech Academy of Sciences, Institute of Computer Science (Ústav informatiky AV ¿R, v.v.i.).Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 256 pp. Englisch.
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