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Algebraic approaches to nondeterminism—an overview
M Walicki, S Meldal - ACM Computing Surveys (CSUR), 1997 - dl.acm.org
Mathematics never saw much of a reason to deal with something called nondeterminism. It
works with values, functions, sets, and relations. In computing science, however …
works with values, functions, sets, and relations. In computing science, however …
{log}: A language for programming in logic with finite sets
An extended logic programming language is presented, that embodies the fundamental form
of set designation based on the (nesting) element insertion operator. The kind of sets to be …
of set designation based on the (nesting) element insertion operator. The kind of sets to be …
Buchberger's algorithm: A constraint-based completion procedure
L Bachmair, H Ganzinger - International Conference on Constraints in …, 1994 - Springer
We present an extended completion procedure with builtin theories defined by a collection
of associativity and commutativity axioms and additional ground equations, and reformulate …
of associativity and commutativity axioms and additional ground equations, and reformulate …
[PDF][PDF] Embedding extensional finite sets in CLP.
In this paper we review the definition of {log} 1, a logic language with sets, from the
viewpoint of CLP. We show that starting with a CLP-scheme allows a more uniform treatment …
viewpoint of CLP. We show that starting with a CLP-scheme allows a more uniform treatment …
Decidability of∀*∀‐Sentences in Membership Theories
EG Omodeo, F Parlamento… - Mathematical Logic …, 1996 - Wiley Online Library
The problem is addressed of establishing the satisfiability of prenex formulas involving a
single universal quantifier, in diversified axiomatic set theories. A rather general decision …
single universal quantifier, in diversified axiomatic set theories. A rather general decision …
Solvable set/hyperset contexts: I. Some decision procedures for the pure, finite case
Hereditarily finite sets and hypersets are characterized both as algorithmic data structures
and by means of a first‐order axiomatization which, despite being rather weak, suffices to …
and by means of a first‐order axiomatization which, despite being rather weak, suffices to …
Membership-constraints and complexity in logic programming with sets
F Stolzenburg - Frontiers of Combining Systems: First International …, 1996 - Springer
General agreement exists about the usefulness of sets as very high-level representations of
complex data structures. Therefore it is worthwhile to introduce sets into constraint logic …
complex data structures. Therefore it is worthwhile to introduce sets into constraint logic …
Set constraints and logic programming
D Kozen - … Conference on Constraints in Computational Logics, 1994 - Springer
Set constraints are the main ingredient in set-based program analysis [8, 11, 5, 2, 4]. In this
approach, only monadic properties of program variables are considered; all …
approach, only monadic properties of program variables are considered; all …
Set constraints and logic programming
D Kozen - Information and Computation, 1998 - Elsevier
Set constraints are inclusion relations between expressions denoting sets of ground terms
over a ranked alphabet. They are the main ingredient in set-based program analysis. In this …
over a ranked alphabet. They are the main ingredient in set-based program analysis. In this …
[PDF][PDF] Compiling Intensional Sets in CLP.
Constructive negation has been proved to be a valid alternative to negation as failure,
especially when negation is required to have, in a sense, anactive'role. In this paper we …
especially when negation is required to have, in a sense, anactive'role. In this paper we …