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CADE
2010
Springer
13 years 6 months ago
Classical Logic with Partial Functions
Abstract. We introduce a semantics for classical logic with partial functions. We believe that the semantics is natural. When a formula contains a subterm in which a function is ap...
Hans de Nivelle
CORR
2004
Springer
110views Education» more  CORR 2004»
13 years 4 months ago
On Modal Logics of Partial Recursive Functions
Abstract. The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends pro...
Pavel Naumov
CADE
2003
Springer
14 years 5 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
HOA
1993
13 years 9 months ago
Theory Interpretation in Simple Type Theory
Theory interpretation is a logical technique for relating one axiomatic theory to another with important applications in mathematics and computer science as well as in logic itself...
William M. Farmer
IPL
2008
102views more  IPL 2008»
13 years 4 months ago
The connection between two ways of reasoning about partial functions
Undefined terms involving the application of partial functions and operators are common in program specifications and in discharging proof obligations that arise in design. One wa...
John S. Fitzgerald, Cliff B. Jones