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AMSTERDAM
2009
15 years 3 months ago
A Formal Semantics for Iconic Spatial Gestures
In this paper I describe a formal semantics for iconic spatial gestures. My claim is that the meaning of iconic gestures can be captured with an appropriate mathematical theory of ...
Gianluca Giorgolo
POPL
2004
ACM
16 years 6 months ago
Extensional normalisation and type-directed partial evaluation for typed lambda calculus with sums
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
Vincent Balat, Roberto Di Cosmo, Marcelo P. Fiore
CADE
2004
Springer
16 years 6 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
WOLLIC
2007
Springer
16 years 13 days 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
LFCS
2007
Springer
16 years 15 days ago
Density Elimination and Rational Completeness for First-Order Logics
Density elimination by substitutions is introduced as a uniform method for removing applications of the Takeuti-Titani density rule from proofs in firstorder hypersequent calculi....
Agata Ciabattoni, George Metcalfe