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CORR
2007
Springer
135views Education» more  CORR 2007»
13 years 7 months ago
On the decidability and complexity of Metric Temporal Logic over finite words
Abstract. Metric Temporal Logic (MTL) is a prominent specification formalism for realtime systems. In this paper, we show that the satisfiability problem for MTL over finite tim...
Joël Ouaknine, James Worrell
SEMWEB
2009
Springer
14 years 1 months ago
Decidable Order-Sorted Logic Programming for Ontologies and Rules with Argument Restructuring
Abstract. This paper presents a decidable fragment for combining ontologies and rules in order-sorted logic programming. We describe ordersorted logic programming with sort, predic...
Ken Kaneiwa, Philip H. P. Nguyen
LICS
2010
IEEE
13 years 5 months ago
The Undecidability of Boolean BI through Phase Semantics
We solve the open problem of the decidability of Boolean BI logic (BBI), which can be considered as the core of separation and spatial logics. For this, we define a complete phas...
Dominique Larchey-Wendling, Didier Galmiche
FOSSACS
2008
Springer
13 years 9 months ago
What Else Is Decidable about Integer Arrays?
We introduce a new decidable logic for reasoning about infinite arrays of integers. The logic is in the first-order fragment and allows (1) Presburger constraints on existentially...
Peter Habermehl, Radu Iosif, Tomás Vojnar
CADE
2001
Springer
14 years 7 months ago
Hilberticus - A Tool Deciding an Elementary Sublanguage of Set Theory
We present a tool deciding a fragment of set theory. It is designed to be easily accessible via the internet and intuitively usable by anyone who is working with sets to describe a...
Jörg Lücke