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» On the Computability of Region-Based Euclidean Logics
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CSL
2010
Springer
13 years 5 months ago
On the Computability of Region-Based Euclidean Logics
By a Euclidean logic, we understand a formal language whose variables range over subsets of Euclidean space, of some fixed dimension, and whose non-logical primitives have fixed me...
Yavor Nenov, Ian Pratt-Hartmann
ACL2
2006
ACM
13 years 10 months ago
Unique factorization in ACL2: Euclidean domains
ACL2 is used to systematically study domains whose elements can be “uniquely” factored into products of “irreducible” elements. The best known examples of such domains are...
John R. Cowles, Ruben Gamboa
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...
TIME
2007
IEEE
13 years 10 months ago
A Symbolic Decision Procedure for Robust Safety of Timed Systems
We present a symbolic algorithm for deciding safety (reachability) of timed systems modelled as Timed Automata (TA), under the notion of robustness w.r.t. infinitesimal clock-drif...
Mani Swaminathan, Martin Fränzle
LPAR
2005
Springer
13 years 10 months ago
Comparative Similarity, Tree Automata, and Diophantine Equations
The notion of comparative similarity ‘X is more similar or closer to Y than to Z’ has been investigated in both foundational and applied areas of knowledge representation and r...
Mikhail Sheremet, Dmitry Tishkovsky, Frank Wolter,...