3 edition of **Many-sorted modal logics** found in the catalog.

Many-sorted modal logics

Steven Thomas Kuhn

- 280 Want to read
- 11 Currently reading

Published
**1977**
by [Filosofiska föreningen] in Uppsala
.

Written in English

- Modality (Logic)

**Edition Notes**

Statement | by Steven Thomas Kuhn. |

Series | Philosophical studies ; nr 29, Filosofiska studier utgivna av Filosofiska föreningen och Filosofiska institutionen vid Uppsala universitet ;, nr. 29. |

Classifications | |
---|---|

LC Classifications | BC199.M6 K83 1977 |

The Physical Object | |

Pagination | 2 v. (v, 196 leaves) ; |

Number of Pages | 196 |

ID Numbers | |

Open Library | OL4285884M |

LC Control Number | 78312585 |

One criterion for selecting these logics is the availability of sound and complete proof procedures for them, typically axiom systems and/or tableau systems. The first-order modal logics are compared to fragments of sorted first-order logic through appropriate versions of the standard by: second-order frames as many-sorted structures. Using "modally adapted" versions of the calculus C2, she manages to redo the completeness proofs for some well-known modal logics in her many-sorted framework. The section on PDL gives a similar perspective on completeness, but here one needs to.

As a result, philosophical logicians have contributed a great deal to the development of non-standard logics (e.g., free logics, tense logics) as well as various extensions of classical logic (e.g., modal logics), and non-standard semantics for such logics (e.g., Kripke's technique of supervaluations in . First-order modal logic is a big area with a great number of diﬀerent logics. This has forced us to make a number of choices. The ﬁrst choice we made was to concentrate on presenting an appropriate selection of logics rather than trying to be encyclopedic.

Logic (from the Ancient Greek: λογική, logike) [1] is the use and study of valid reasoning. [2] [3] The study of logic features most prominently in the subjects of philosophy, mathematics, and computer was studied in several ancient civilizations, including India, [4] China, [5] Persia and the West, logic was established as a formal discipline by Aristotle, who. Up to 90% off Textbooks at Amazon Canada. Plus, free two-day shipping for six months when you sign up for Amazon Prime for Students.5/5(3).

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OCLC Number: Notes: Originally presented as the author's thesis, Stanford. Description: 2 volumes (v, leaves) ; 30 cm. Series Title: Filosofiska studier utgivna av Filosofiska föreningen och Filosofiska institutionen vid Uppsala universitet, nr Many-sorted logic can reflect formally our intention not to handle the universe as a homogeneous collection of objects, but to partition it in a way that is similar to types in typeful functional and assertive "parts of speech" in the language of the logic reflect this typeful partitioning of the universe, even on the syntax level: substitution and argument passing can be done.

Much of Manzano's book is about the translation of other logics into many sorted logic. This is the main way that she defends the thesis that it is a unifying logic. Still, it is necessary to clear out the confusion created by the different notions of "expressive power" involved in the comparison betwen FOL and SOL so that the answer can focus.

First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems Many-sorted modal logics book in mathematics, philosophy, linguistics, and computer -order logic uses quantified variables over non-logical objects and allows the use of sentences that contain variables, so that rather than propositions such as Socrates is a man.

Logical Options introduces the extensions and alternatives to classical logic which are most discussed in the philosophical literature: many-sorted logic, second-order logic, modal logics, intuitionistic logic, three-valued logic, fuzzy logic, and free logic.

Each logic is introduced with a brief description of some aspect of its philosophical significance, and wherever possible semantic and. Modal Logic - Science topic Modal logic is a type of formal logic primarily developed in the s that extends classical propositional Many-sorted modal logics book predicate logic to include operators expressing modality.

6 The modal logic deﬁned in [4] is also qualiﬁed as many-sorted. However, in [4], sorts are used to refer to the ingredients of an endofunctor on Set, whereas here, many-sortedness isAuthor: Corina Cirstea.

Syntax; Advanced Search; New. All new items; Books; Journal articles; Manuscripts; Topics. All Categories; Metaphysics and Epistemology. Logical Options introduces the extensions and alternatives to classical logic which are most discussed in the philosophical literature: many-sorted logic, second-order logic, modal logics, intuitionistic logic, three-valued logic, fuzzy logic, and free logic.

Each logic is introduced with a brief description of some aspect of its philosophical significance, and wherever possible semantic and Cited by: 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. One may divide this book roughly into two parts: The primary theme of one part (Chapters 1, 2, and 5) is (a modal-logic version of) the concept of world line-- a term that Carnap [3] imported from physics to modal logic and that Hintikka [6, 7] adopted.

It is a notion of individual that plays a central role in Tulenheimo's semantics. Kuhn, S. T.:Many-sorted Modal Logics, Philosophical studies published by the Philosophical Society and the Department of Philosophy, University of Uppsala, Vol. 35, Uppsala. Google Scholar Leivant, D.:‘On the proof theory of the modal logic for Cited by: "Logic teachers will love this book.

Trees are probably the most accessible way to present logical systems to students and Bell, DeVidi and Solomon give tree formulations of a wide range of central logical systems - including truth-functional and quantificational logic, modal logic, provability logic, intuitionistic logic, three-valued logic Written: Classical logic has proved inadequate in various areas of computer science, artificial intelligence, mathematics, philosopy and linguistics.

This is an introduction to extensions of first-order logic, based on the principle that many-sorted logic (MSL) provides a unifying framework in which to place, for example, second-order logic, type theory, modal and dynamic logics and MSL itself. Logic (from Greek: λογική, logikḗ, 'possessed of reason, intellectual, dialectical, argumentative') is the systematic study of the forms of inference, i.e.

the relations that lead to the acceptance of one proposition (the conclusion) on the basis of a set of other propositions ().More broadly, logic is the analysis and appraisal of arguments.

A G Cohn, “A More Expressive Formulation of Many Sorted Logic,” J Automated Reasoning, vol. 3, no. 2, pp. –, Google Scholar A G Cohn, “On the Appearance of Sortal Literals: a Non Substitutional Framework for Hybrid Reasoning,” in Principles of Representation and Reasoning, ed.

R J Brachman, H J Levesque & R Reiter, Morgan Cited by: The Multi-Modal systems we consider are arbitrary mixing of first order modal systems of type KD,KT,KD4 or KT4, with interaction axioms of the form i A - j A.

Roughly, with each modal subsystem is associated a sort in Path Logic and a specific set of equations, and the interaction axioms are captured by the order relation between sorts. Hence Cited by: Modal logics.

An alternative way to incorporate time is by complicating the model theory, along the lines of modal logic. Using the common Kripke-style possible world semantics for modal logics, each possible world represents a different time while the accessibility relationship becomes a temporal ordering relationship between possible worlds.

The Open Logic Text is an open-source, collaborative textbook of formal meta-logic and formal methods, starting at an intermediate level (i.e., after an intro-ductory formal logic course).

Though aimed at a non-mathematical audience (in particular, students of philosophy and computer science), it is Size: 3MB. Logical Options book. Read reviews from world’s largest community for readers. Logical Options introduces the extensions and alternatives to classical lo /5(5).

- Richard Jeffrey, Princeton University"Logic teachers will love this book. Trees are probably the most accessible way to present logical systems to students and Bell, DeVidi and Solomon give tree formulations of a wide range of central logical systems - including truth-functional and quantificational logic, modal logic, provability logic.This book is unique in that it covers a great many alternative logics, a lot of which I did not know existed prior to reading this book.

It manages this in pages, by only only covering the required information and proofs without going into too much depth/5.This book is an introduction to meta-logic, aimed especially at students of computer science and philosophy.

“Meta-logic” is so-called because it is the discipline that studies logic itself. Logic proper is concerned with canons of valid inference, and its sym-bolic or formal version presents these canons using formal lan.