By Johan Van Benthem, Natasha Alechina (auth.), Maarten de Rijke (eds.)

Intensional good judgment has emerged, because the 1960' s, as a strong theoretical and sensible instrument in such assorted disciplines as laptop technological know-how, synthetic intelligence, linguistics, philosophy or even the principles of arithmetic. the current quantity is a set of conscientiously selected papers, giving the reader a flavor of the frontline country of analysis in intensional logics this present day. so much papers are consultant of latest rules and/or new learn subject matters. the gathering would receive advantages the researcher in addition to the coed. This booklet is a such a lot great addition to our sequence. The Editors CONTENTS PREFACE IX JOHAN VAN BENTHEM AND NATASHA ALECHINA Modal Quantification over based domain names PATRICK BLACKBURN AND WILFRIED MEYER-VIOL Modal good judgment and Model-Theoretic Syntax 29 RUY J. G. B. DE QUEIROZ AND DOV M. GABBAY The practical Interpretation of Modal Necessity sixty one VLADIMIR V. RYBAKOV Logics of Schemes for First-Order Theories and Poly-Modal Propositional good judgment ninety three JERRY SELIGMAN The good judgment of right Description 107 DIMITER VAKARELOV Modal Logics of Arrows 137 HEINRICH WANSING A Full-Circle Theorem for easy annoying good judgment 173 MICHAEL ZAKHARYASCHEV Canonical formulation for Modal and Superintuitionistic Logics: a quick define 195 EDWARD N. ZALTA 249 The Modal item Calculus and its Interpretation identify INDEX 281 topic INDEX 285 PREFACE Intensional good judgment has many faces. during this preface we establish a few renowned ones with out aiming at completeness.

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So, assume that there are no disjunctions in the antecedent. Thus, we have a formula pr where PIn . are all the predicates in 'P' --+ ST( 'Ij;), and 'P' is a conjunction of "blocks" which are of one of the following forms: I. standard translations of atomic formulas possibly preceded by universal and D-quantifiers, 2. R-statements, JOHAN VAN BENTHEM AND NATASHA ALECHINA 18 3. formulas in which all predicate letters occur only negatively. Next we rule out the use of negative formulas. p' -+ ST (1/J) can always be rewritten as an implication whose antecedent does not contain negative formulas.

Kracht, 1995] uses a modal 'orientation language' over the parse trees of context free grammars to relate GB and GPSG. , 1993] introduce a modal language for talking about trees, and, by 'layering' this language across a feature logic, give an account of some of the leading ideas of GPSG. , 1993]. We discuss two linguistic ontologies, namely finite ordered binary trees, and finite ordered binary treesfibred 29 M. ), Advances in Intensional Logic, 29---QO. © 1997 Kluwer Academic Publishers. 30 PATRICK BLACKBURN AND WILFRIED MEYER-VIOL over feature structures, formulate languages for talking about them, and prove a number of results.

3 (Feature decorated trees) By a (finite, ordered, binary) feature structure decorated tree (of signature (F, V)) is meant a triple (0, Z, z) where 0 is the presentation of a finite ordered binary tree, Z is a function that assigns to each node u of 0 a finite, point-generated feature structure (of signature (F, V)), and z is a function that assigns to each node u of 0 a point z (u) E Z (u) that generates Z (u). Two comments about feature decorated trees are in order. First of all, they seem to do justice to the ideas of GPSG.