First-Order Schemata and Inductive Proof Analysis
Language: English
Published by Birkhäuser, Springer International Publishing Jan 2026, 2026
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 148.98
Quantity: 1 available
Add to basketItem description from seller
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 general 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.…
Seller Inventory # 9783032057402
- Title
- First-Order Schemata and Inductive Proof Analysis
- Author
- Alexander Leitsch
- Publisher
- Birkhäuser, Springer International Publishing Jan 2026
- Publication year
- 2026
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 303205740X
- ISBN 13
- 9783032057402
- Item weight
- 551 grams
- Dimensions
- 241x160x20 mm
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-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 schemata
- cut-elimination by resolution
- point transition systems
- schematic resolution
- Herbrand systems
- inductive proof analysis
This 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 ČR, v.v.i.).
"Synopsis" may belong to another edition of this title.
About the Author
David Cerna is a computational logician who has held positions at several research institutions including Czech Academy of Sciences, Dynatrace Research, and the Research Institute for Symbolic Computation. In 2015, he earned his PhD from the Technical University of Vienna in the field of computational proof theory. He has expertise in the areas of Inductive Synthesis, Unification Theory, and automated reasoning.
Alexander Leitsch is retired professor of Mathematics and Theoretical Computer Science at the Technische Universität Wien. His main research areas are Computational Logic, Proof Theory and Automated Deduction. He is author of the book The Resolution calculus (Springer 1997) and of the book Methods of Cut-Elimination with coauthor Matthias Baaz (Springer 2011). He was the head of the Theory and Logic group in the Institute of Logic and Computation and the leader of seven research projects in various areas of Computational Logic supported by the Austrian Science Fund.
Anela Lolić is a logician at the Institute of Logic and Computation, TU Wien, specializing in structural proof theory. She earned her PhD in Computer Science from TU Wien in 2020, with a thesis focused on the CERES method for automated proof analysis. As principal investigator and researcher, she leads projects such as PANDAFOREST ("Proof analysis and automated deduction for recursive structures") and on Skolemization and Interpolation, supported by the Austrian Science Fund FWF and the Austrian Academy of Sciences.
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
Shipping rates from Germany to U.S.A.
| Item | 5 to 15 business days | 5 to 15 business days |
|---|---|---|
| First item | £ 19.43 | £ 19.43 |
Payment methods
- Bank Wire Transfer
- Check
- Paypal
Seller's business information
BuchWeltWeit Ludwig Meier e.K.
Germany
Terms of sale
BuchWeltWeit Inh. Ludwig Meier e.K.
Inhaber: Ludwig Meier
De-Gasperi-Str. 8
51469 Bergisch Gladbach
Deutschland
Tel.: +49(0)22028659300
Fax: +49(0)22028659301
E-Mail: info@buchweltweit.de
Registergericht: Amtsgericht Köln
Registernummer: HRA 28253
Umsatzsteuer-Identifikationsnummer: DE815259907
Wir sind zur Teilnahme an einem Streitbeilegungsverfahren vor einer Verbraucherschlichtungsstelle weder verpflichtet noch bereit.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Der Versand ins Ausland findet IMMER mit DHL statt. Auch nach Österreich verschicken wir nur mit DHL! Daher Standardversand == Luftpost!