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Logics for stable and unstable mereological relations

Vladislav Nenchev (2011)

Open Mathematics

In this paper we present logics about stable and unstable versions of several well-known relations from mereology: part-of, overlap and underlap. An intuitive semantics is given for the stable and unstable relations, describing them as dynamic counterparts of the base mereological relations. Stable relations are described as ones that always hold, while unstable relations hold sometimes. A set of first-order sentences is provided to serve as axioms for the stable and unstable relations, and representation...

Logique combinatoire et linguistique : grammaire catégorielle combinatoire applicative

Jean-Pierre Desclés, Ismail Biskri (1995)

Mathématiques et Sciences Humaines

La Grammaire Catégorielle Combinatoire Applicative étend la Grammaire Catégorielle Combinatoire de Steedman par une association canonique entre les règles et des combinateurs de Curry d'une part et l'utilisation de métarègles qui contrôlent les opérations de changement de type d'autre part. Ce modèle est inclus dans le modèle général de la Grammaire Applicative et Cognitive (Desclés) avec trois niveaux de représentation : (i) le phénotype (expressions concaténées) ; (ii) le génotype (expressions...

Look and Say Fibonacci

Patrice Séébold (2008)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

The L S (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, L S ( 1 1 2 3 3 ) = 2 1 1 2 2 3 (two 1 , one 2 , two 3 ). We start the study of the behaviour of binary words generated by morphisms under the L S operator, focusing in particular on the Fibonacci word.

Look and Say Fibonacci

Patrice Séébold (2010)

RAIRO - Theoretical Informatics and Applications

The LS (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, LS( 1 1 2 3 3) = 2 1 1 2 2 3 (two 1, one 2, two 3). We start the study of the behaviour of binary words generated by morphisms under the LS operator, focusing in particular on the Fibonacci word.

Lower bounds for Las Vegas automata by information theory

Mika Hirvensalo, Sebastian Seibert (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We show that the size of a Las Vegas automaton and the size of a complete, minimal deterministic automaton accepting a regular language are polynomially related. More precisely, we show that if a regular language L is accepted by a Las Vegas automaton having r states such that the probability for a definite answer to occur is at least p , then r n p , where n is the number of the states of the minimal deterministic automaton accepting L . Earlier this result has been obtained in [2] by using a reduction...

Lower Bounds for Las Vegas Automata by Information Theory

Mika Hirvensalo, Sebastian Seibert (2010)

RAIRO - Theoretical Informatics and Applications

We show that the size of a Las Vegas automaton and the size of a complete, minimal deterministic automaton accepting a regular language are polynomially related. More precisely, we show that if a regular language L is accepted by a Las Vegas automaton having r states such that the probability for a definite answer to occur is at least p, then r ≥ np, where n is the number of the states of the minimal deterministic automaton accepting L. Earlier this result has been obtained in [2] by using a reduction...

Currently displaying 101 – 120 of 123