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APAL
2004
78views more  APAL 2004»
14 years 9 months ago
Ternary relations and relevant semantics
Modus ponens provides the central theme. There are laws, of the form A C. A logic (or other theory) L collects such laws. Any datum A (or theory T incorporating such data) provid...
Robert K. Meyer
57
Voted
APAL
2002
77views more  APAL 2002»
14 years 9 months ago
Degree spectra and computable dimensions in algebraic structures
Whenever a structure with a particularly interesting computability-theoretic property is found, it is natural to ask whether similar examples can be found within well-known classe...
Denis R. Hirschfeldt, Bakhadyr Khoussainov, Richar...
APAL
2002
73views more  APAL 2002»
14 years 9 months ago
The sequentially realizable functionals
We consider a notion of sequential functional of finite type, more generous than the familiar notion embodied in Plotkin's language PCF. We study both the "full" an...
John Longley
81
Voted
APAL
2007
79views more  APAL 2007»
14 years 9 months ago
A completeness result for a realisability semantics for an intersection type system
In this paper we consider a type system with a universal type ω where any term (whether open or closed, β-normalising or not) has type ω. We provide this type system with a rea...
Fairouz Kamareddine, Karim Nour
APAL
2007
59views more  APAL 2007»
14 years 9 months ago
On the Turing degrees of minimal index sets
We study generalizations of shortest programs as they pertain to Schaefer’s MIN∗ problem. We identify sets of m-minimal and T-minimal indices and characterize their truth-tabl...
Jason Teutsch