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AIML
2008
13 years 6 months ago
Modal logic of time division
A logic LTD is defined, inspired by [37]. It is syntactically like basic modal logic with an additional unary operator but it has an interval-based semantics on structures with arb...
Tero Tulenheimo
AIML
2008
13 years 6 months ago
On axiomatising products of Kripke frames, part II
We generalise some results of [7, 5] and show that if L is an -modal logic (for some ordinal 3) such that (i) L contains the product logic K and (ii) the product of -many trees o...
Agi Kurucz
AIML
2008
13 years 6 months ago
Properties of logics of individual and group agency
We provide proof-theoretic results about deliberative STIT logic. First we present STIT logic for individual agents without time, where the problem of satisfiability has recently b...
Andreas Herzig, François Schwarzentruber
AIML
2008
13 years 6 months ago
Labelled modal tableaux
Labelled tableaux are extensions of semantic tableaux with annotations (labels, indices) whose main function is to enrich the modal object language with semantic elements. This pap...
Guido Governatori
AIML
2008
13 years 6 months ago
Topology, connectedness, and modal logic
This paper presents a survey of topological spatial logics, taking as its point of departure the interpretation of the modal logic S4 due to McKinsey and Tarski. We consider the ef...
Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter...
AIML
2008
13 years 6 months ago
Undecidability for arbitrary public announcement logic
Arbitrary public announcement logic (APAL) is an extension of multi-agent epistemic logic that allows agents' knowledge states to be updated by the public announcement of (pos...
Tim French, Hans P. van Ditmarsch
AIML
2008
13 years 6 months ago
Valentini's cut-elimination for provability logic resolved
In 1983, Valentini presented a syntactic proof of cut-elimination for a sequent calculus GLSV for the provability logic GL where we have added the subscript V for "Valentini&q...
Rajeev Goré, Revantha Ramanayake
AIML
2008
13 years 6 months ago
An interval logic for natural language semantics
Most temporal logics, particularly interval temporal logics, are not expressive enough to capture meanings of natural language constructions, and they are not convenient to represe...
Savas Konur
AIML
2008
13 years 6 months ago
On the intermediate logic of open subsets of metric spaces
In this paper we study the intermediate logic MLO(X) of open subsets of a metric space X. This logic is closely related to Medvedev's logic of finite problems ML. We prove sev...
Timofei Shatrov