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Saturday, May 16, 2020 | History

2 edition of **Computational aspects of an order-sorted logic with term declarations** found in the catalog.

- 272 Want to read
- 40 Currently reading

Published
**1989**
by Springer-Verlag in Berlin, New York
.

Written in English

- Sorting (Electronic computers),
- Symbolic and mathematical Logic

**Edition Notes**

Includes bibliographical references.

Other titles | Order-sorted logic with term declarations. |

Statement | M. Schmidt-Schauss |

Series | Lecture notes in computer science -- 395. -- Lecture notes in artificial intelligence, Lecture notes in computer science -- 395., Lecture notes in computer science |

Classifications | |
---|---|

LC Classifications | QA9 .S343 1989 |

The Physical Object | |

Pagination | viii, 171 p. ; |

Number of Pages | 171 |

ID Numbers | |

Open Library | OL24900469M |

ISBN 10 | 0387517057 |

LC Control Number | 89021790 |

Manfred Schmidt-Schauss has written: 'Computational aspects of an order-sorted logic with term declarations' -- subject(s): Sorting (Electronic computers), Symbolic and mathematical Logic Asked in. M. Schmidt-SchauB, Unification in a many-sorted calculus with polymorphic functions based on resolution and paramodulation, in: Proceedings IJCA, Los Angeles, CA () [46] M. Schmidt-SchauB, Computational aspects of an order-sorted logic with term declaration, Ph.D. Thesis, University of Kaiserlautern, Germany ().Cited by:

From what I've heard she doesn't use realistic situations as examples or assignments. She strictly uses the book but doesn't do anything outside of the actual text to "teach" us anything and she'll be super picky on certain aspects of problems one week and be totally lenient with them but picky with other aspects another week. Abstract. In this discussion we outline an approach to reasoning about hybrid reasoning systems. We believe that following this approach allows theoretical results to be obtained rapidly, allows a high level of understanding about the relationship between different hybrid reasoning systems, and allows advantage to be taken of results about classical : Ian Gent and A. G. Cohn.

Order-sorted logic,,,, has been known as first-order predicate logic that extends to include many sorts and their hierarchy (called sort hierarchy). In knowledge representation and reasoning, automated deduction for order-sorted logic, which offers advantages in this area, has been thoroughly studied [6], Author: Ken Kaneiwa. INTRODUCTION Journal of Computational Physics: X is the open access mirror journal of Journal of Computational Physics. Submission checklist You can use this list to carry out a final check of your submission before you send it to the journal for review. Please check the relevant section in this Guide for Authors for more details.

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Computational Aspects of an Order-Sorted Logic with Term Declarations (Lecture Notes in Computer Science ()) [Schmidt-Schau??, Manfred] on *FREE* shipping on qualifying offers. Computational Aspects of an Order-Sorted Logic with Term Declarations (Lecture Notes in.

Computational Aspects of an Order-Sorted Logic with Term Declarations Book. 68 Citations; Downloads; Part of the Lecture Notes in Computer Science book series (LNCS, volume ) Chapters Table of contents (7 Pages Unification of equationally interpreted sorted terms.

Pages Sorted resolution-based calculi. Pages A temporal logic approach to specify and to prove properties of finite state concurrent systems.- A comparison of the resolution calculus and the connection method, and a new calculus generalizing.

Electronic books: Additional Physical Format: Print version: Schmidt-Schauss, M. (Manfred). Computational aspects of an order-sorted logic with term declarations.

Berlin ; New York: Springer-Verlag, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors. Get this from a library. Computational aspects of an order-sorted logic with term declarations.

[Manfred Schmidt-Schauss; Fachbereich Informatik, Universität Kaiserslautern.]. Schmidt-Schauß, M. Computational Aspects of an Order-Sorted Logic With Term Declarations.

Springer LNAINew York Springer LNAINew York Google ScholarCited by: 3. () Unification of equationally interpreted sorted terms. In: Schmidt-Schauß M. (eds) Computational Aspects of an Order-Sorted Logic with Term Declarations. Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence), vol In this part the properties of unification of uninterpreted order-sorted terms are investigated and rule-based unification algorithms are presented.

We show that for elementary, regular signatures Unification of uninterpreted sorted terms | SpringerLink. from book KI Advances in Unification in a Sorted lambda-Calculus with Term Declarations and Function Sorts. Computational Aspects of an Order-Sorted Logic with Term : Michael Kohlhase.

Order-sorted logic has been formalized as first-order logic with sorted terms where sorts are ordered to build a hierarchy (called a sort-hierarchy). These sorted logics lead to useful expressions and inference methods for structural knowledge that ordinary first-order logic by: In this part we develop the framework for an order-sorted logic with equality, its syntax, semantics and its computational aspects.

The intention is that the first part provides definitions and first consequences for all concepts which are basic for order-sorted logic, including sorted equational theories.

Order-sorted logic is a useful tool for knowledge representation and reasoning because it enables representation of sorted terms and formulas along with partially ordered sorts (called sort. A collection of quotations and references about many-sorted logic (MSL), order-sorted logic (OSL), and applications.

Excerpts from a book on MSL (Meinke & Tucker ) Preface, p. vii Any reasonable logical system can be naturally translated into many-sorted first-order logic; thus many-sorted first-order logic is a universal logic.

Computational Aspects of an Order-sorted Logic with Term Declarations, Lecture Notes of Artificial Intelligence subseries of Lecture Notes of Computer Science, Springer-Verlag, Bückert, H.-J., Schmidt-Schauß, M., Some Solvability Results for Equational Problems, SEKI-report SR, Universität Kaiserslautern, Consideration of an order-sorted logic with functional base sorts and arbitrary term declarations was originally proposed by the second author in a paper; we give here a corrected calculus.

We study free variable tableau methods for logics with term declarations. We show how to define a substitutivity rule preserving the soundness of the Cited by: 2. In order to incorporate order-sorted logic into a clause-based automated theorem prover, a corresponding order-sorted unification algorithm is necessary, which requires for any two declared sorts, their intersection ∩ to be declared, too: if and are variables of sort and, respectively, the equation =.

has the solution {=, =}, where: ∩. Computational Aspects of Order- Sorted Logic with Term Declarations, volume of Lecture Notes in Computer Science. Springer, Berlin, [Sup57] Patrick Suppes. In this paper we integrate a sorted unification calculus into free variable tableau methods for logics with term declarations.

The calculus we define is used to close a tableau at once, unifying a. lem (Reiter ). Note that even if both many-sorted logic and order-sorted logic can be translated to unsorted, using order-sorted logic can bring about signiﬁcant computational advantages, for example in deduction. This was a primary driving force for (Walther ) and (Cohn ).

We show. This paper provides two results concerning Order-Sorted Logic with Term Declarations. First, we show that linear term declarations can be transformed conservatively into function declarations, thus yielding elementary signatures.

This provides a simple proof of the well known fact that unification in linear signatures is : Rolf Socher-Ambrosius.Purchase Computational Logic, Volume 9 - 1st Edition.

Print Book & E-Book. ISBNA Computational Logic (ACM monographs series) Includes bibliographic references and index. 1. Automatic theorem proving. I. Moore, J Strother, Date joint author. II. Title. III. Series: Association of Computing Machinery. ACM monograph series.

QAA96B68 ISBN printed in the united states of america 79 81 81 82 9 File Size: KB.