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A feature logic with subsorts (1989)

by Gert Smolka
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Concurrent Constraint Programming

by Vijay A. Saraswat, Martin Rinard , 1993
"... This paper presents a new and very rich class of (con-current) programming languages, based on the notion of comput.ing with parhal information, and the con-commitant notions of consistency and entailment. ’ In this framework, computation emerges from the inter-action of concurrently executing agent ..."
Abstract - Cited by 403 (15 self) - Add to MetaCart
This paper presents a new and very rich class of (con-current) programming languages, based on the notion of comput.ing with parhal information, and the con-commitant notions of consistency and entailment. ’ In this framework, computation emerges from the inter-action of concurrently executing agents that communi-cate by placing, checking and instantiating constraints on shared variables. Such a view of computation is in-teresting in the context of programming languages be-cause of the ability to represent and manipulate partial information about the domain of discourse, in the con-text of concurrency because of the use of constraints for communication and control, and in the context of AI because of the availability of simple yet powerful mechanisms for controlling inference, and the promise that very rich representational/programming languages, sharing the same set of abstract properties, may be pos-sible. To reflect this view of computation, [Sar89] develops the cc family of languages. We present here one mem-ber of the family, CC(.L,+) (pronounced “cc with Ask and Choose”) which provides the basic operations of blocking Ask and atomic Tell and an algebra of be-haviors closed under prefixing, indeterministic choice, interleaving, and hiding, and provides a mutual recur-sion operator. cc(.L,-t) is (intentionally!) very similar to Milner’s CCS, but for the radically different under-lying concept of communication, which, in fact, pro-’ The class is founded on the notion of “constraint logic pro-gramming ” [JL87,Mah87], fundamentally generalizes concurrent logic programming, and is the subject of the first author’s disser-tation [Sar89], on which this paper is substantially based.

Basic Description Logics

by Franz Baader, Werner Nutt , 2003
"... ..."
Abstract - Cited by 224 (31 self) - Add to MetaCart
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The Complexity of Concept Languages

by Francesco M. Donini, Maurizio Lenzerini, Daniele Nardi, Werner Nutt - Information and Computation , 1991
"... A basic feature of Terminological Knowledge Representation Systems is to represent knowledge by means of taxonomies, here called terminologies, and to provide a specialized reasoning engine to do inferences on these structures. The taxonomy is built through a representation language called a concept ..."
Abstract - Cited by 219 (33 self) - Add to MetaCart
A basic feature of Terminological Knowledge Representation Systems is to represent knowledge by means of taxonomies, here called terminologies, and to provide a specialized reasoning engine to do inferences on these structures. The taxonomy is built through a representation language called a concept language (or description logic), which is given a well-defined set-theoretic semantics. The efficiency of reasoning has often been advocated as a primary motivation for the use of such systems. The main contributions of the paper are: (1) a complexity analysis of concept satisfiability and subsumption for a wide class of concept languages; (2) the algorithms for these inferences that comply with the worst-case complexity of the reasoning task they perform. This is an extended and revised version of a paper presented at the 2nd Int. Conf. on Principles of Knowledge Representation and Reasoning, Cambridge, MA, 1991. 1 Introduction Among computer systems based on Artificial Intelligence ...

Towards a meaning of LIFE

by Hassan Aït-Kaci, Andreas Podelski - JOURNAL OF LOGIC PROGRAMMING , 1993
"... ..."
Abstract - Cited by 118 (10 self) - Add to MetaCart
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Logic Programming over Polymorphically Order-Sorted Types

by Gert Smolka , 1989
"... This thesis presents the foundations for relational logic programming over polymorphically order-sorted data types. This type discipline combines the notion of parametric polymorphism, which has been developed for higher-order functional programming, with the notion of order-sorted typing, which ha ..."
Abstract - Cited by 58 (0 self) - Add to MetaCart
This thesis presents the foundations for relational logic programming over polymorphically order-sorted data types. This type discipline combines the notion of parametric polymorphism, which has been developed for higher-order functional programming, with the notion of order-sorted typing, which has been developed for equational first-order specification and programming. Polymorphically order-sorted types are obtained as canonical models of a class of specifications in a suitable logic accommodating sort functions. Algorithms for constraint solving, type checking and type inference are given and proven correct.

TDL -- A Type Description Language for Constraint-Based Grammars

by Hans-Ulrich Krieger, Ulrich Schäfer , 1994
"... This paper presents TDL, a typed feature-based rein'cscnt, al,ion language and inference sysl.cnt. Type dclini l,ions in TDL consis[ of (.ypc and feature coustraints over (,he booltan cmmc(:ives. TDL supt)ors opera and closed-- wm4d reasoning over types and allows for l)arl. iLions and im:ompa(,iblc ..."
Abstract - Cited by 55 (17 self) - Add to MetaCart
This paper presents TDL, a typed feature-based rein'cscnt, al,ion language and inference sysl.cnt. Type dclini l,ions in TDL consis[ of (.ypc and feature coustraints over (,he booltan cmmc(:ives. TDL supt)ors opera and closed-- wm4d reasoning over types and allows for l)arl. iLions and im:ompa(,iblc tyt)cs. Working with partially as wcll as with ILlly expanded types is possible. Efii(:it:nt reasoning ht TD is accomplished Lhrougi Sl)ccializcd modules. Topical Paper. pic Arch: sofi,war, fin' NIA', grammar formalism for typed feature structures.

On the Expressivity of Feature Logics with Negation, Functional Uncertainty, and Sort Equations

by Franz Baader, Hans-Jürgen Bürckert, Bernhard Nebel, Werner Nutt, Gert Smolka - JOURNAL OF LOGIC, LANGUAGE AND INFORMATION , 1993
"... Feature logics are the logical basis for so-called unification grammars studied in computational linguistics. We investigate the expressivity of feature terms with negation and the functional uncertainty construct needed for the description of long-distance dependencies and obtain the following resu ..."
Abstract - Cited by 38 (11 self) - Add to MetaCart
Feature logics are the logical basis for so-called unification grammars studied in computational linguistics. We investigate the expressivity of feature terms with negation and the functional uncertainty construct needed for the description of long-distance dependencies and obtain the following results: satisfiability of feature terms is undecidable, sort equations can be internalized, consistency of sort equations is decidable if there is at least one atom, and consistency of sort equations is undecidable if there is no atom.

Inheritance and Constraint-Based Grammar Formalisms

by Remi Zajac , 1992
"... ..."
Abstract - Cited by 38 (7 self) - Add to MetaCart
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Strategies For Adding Control Information To Declarative Grammars

by Hans Uszkoreit , 1991
"... Strategies are proposed for combining different kinds of constraints in dcclarative grammars with a detachable layer of control information. The added control information is the basis for parametrized dynamically controlled linguistic deduction, a form of linguistic processing that permits the imple ..."
Abstract - Cited by 26 (1 self) - Add to MetaCart
Strategies are proposed for combining different kinds of constraints in dcclarative grammars with a detachable layer of control information. The added control information is the basis for parametrized dynamically controlled linguistic deduction, a form of linguistic processing that permits the implementation of plausible linguistic performance models without giving up the declarative formulation of linguistic competence. The information can be used by the linguistic processor for ordering the sequence in which conjuncts and disjuncts are processed, for mixing depth-first and breadth-first search, for cutting off undesired derivations, and for constraint-relaxation.

An Attributive Logic of Set Descriptions Set Operations

by Suresh Manandhar
"... This paper provides a model theoretic semantics to feature terms augmented with set descriptions. We provide constraints to specify HPSG style set descriptions, fixed cardinality set descriptions, set-membership constraints, restricted universal role quantifications, set ration, intersection, subset ..."
Abstract - Cited by 23 (4 self) - Add to MetaCart
This paper provides a model theoretic semantics to feature terms augmented with set descriptions. We provide constraints to specify HPSG style set descriptions, fixed cardinality set descriptions, set-membership constraints, restricted universal role quantifications, set ration, intersection, subset and disjointhess. A sound, complete and terminating consistency checking procedure is provided to determine the consistency of any given term in the logic. It is shown that determining consistency of terms is a NP-complete problem. Subject Areas: feature logic, constraint-based gram- mars, HPSG 1
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