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LICS
1996
IEEE
13 years 11 months ago
Completing Partial Combinatory Algebras With Unique Head-Normal Forms
In this note, we prove that having unique head-normal forms is a sufficient condition on partial combinatory algebras to be completable. As application,we show that the pca of str...
Inge Bethke, Jan Willem Klop, Roel C. de Vrijer
ELP
1993
13 years 11 months ago
Finitary Partial Inductive Definitions as a General Logic
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
Lars-Henrik Eriksson
CADE
2003
Springer
14 years 7 months ago
Subset Types and Partial Functions
A classical higher-order logic PFsub of partial functions is defined. The logic extends a version of Farmer's logic PF by enriching the type system of the logic with subset ty...
Aaron Stump
DLOG
2004
13 years 8 months ago
From SHOQ(D) Toward E-connections
In this paper, we propose a tableau-based technique for reasoning with various distributed DL knowledge bases. This technique can be applied both to DDLs and to new and relevant s...
Bernardo Cuenca Grau, Bijan Parsia
LICS
1997
IEEE
13 years 11 months ago
Induction and Recursion on the Partial Real Line via Biquotients of Bifree Algebras
The partial real line is the continuous domain of compact real intervals ordered by reverse inclusion. The idea is that singleton intervals represent total real numbers, and that ...
Martín Hötzel Escardó, Thomas S...