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» Formalizing Undefinedness Arising in Calculus
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CADE
2004
Springer
14 years 5 months ago
Formalizing Undefinedness Arising in Calculus
Abstract. Undefined terms are commonplace in mathematics, particularly in calculus. The traditional approach to undefinedness in mathematical practice is to treat undefined terms a...
William M. Farmer
FPCA
1995
13 years 8 months ago
Pi-Calculus, Dialogue Games and PCF
Game semantics is an unusual denotational semantics in that it captures the intensional (or algorithmic) and dynamical aspects of the computation. This makes it an ideal semantica...
J. M. E. Hyland, C.-H. Luke Ong
IJCAI
2003
13 years 6 months ago
Tucking RCC in Cyc's Ontological Bed
Formalisms and axiomatic theories are designed to support reasoning, they are often intended with a preferred interpretation and a targeted ontology. Questions of proper interpret...
Pierre Grenon
JFP
2006
103views more  JFP 2006»
13 years 4 months ago
Phantom types and subtyping
We investigate a technique from the literature, called the phantom-types technique, that uses parametric polymorphism, type constraints, and unification of polymorphic types to mo...
Matthew Fluet, Riccardo Pucella
AI
2004
Springer
13 years 4 months ago
A unifying semantics for time and events
We give a formal semantics for a highly expressive language for representing temporal relationships and events. This language, which we call Versatile Event Logic (VEL), provides ...
Brandon Bennett, Antony Galton