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» SD2: A Sound and Complete Diagrammatic Reasoning System
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TPHOL
2005
IEEE
15 years 3 months ago
A Structured Set of Higher-Order Problems
Abstract. We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as...
Christoph Benzmüller, Chad E. Brown
CHI
2005
ACM
15 years 10 months ago
Navigation via continuously adapted music
Listening to music on personal, digital devices while mobile is an enjoyable, everyday activity. We explore a scheme for exploiting this practice to immerse listeners in navigatio...
Nigel Warren, Matt Jones, Steve Jones, David Bainb...
84
Voted
FROCOS
2007
Springer
15 years 3 months ago
Temporal Logic with Capacity Constraints
Often when formalising dynamic systems, constraints such as exactly “n” of a set of values hold. In this paper, we consider reasoning about propositional linear time temporal ...
Clare Dixon, Michael Fisher, Boris Konev
TLCA
2007
Springer
15 years 3 months ago
Higher-Order Logic Programming Languages with Constraints: A Semantics
A Kripke Semantics is defined for a higher-order logic programming language with constraints, based on Church’s Theory of Types and a generic constraint formalism. Our syntactic...
James Lipton, Susana Nieva
66
Voted
WOLLIC
2007
Springer
15 years 3 months ago
A Formal Calculus for Informal Equality with Binding
Abstract. In informal mathematical usage we often reason using languages with binding. We usually find ourselves placing capture-avoidance constraints on where variables can and c...
Murdoch Gabbay, Aad Mathijssen