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» Extension of a theorem of Whitney
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POPL
1993
ACM
13 years 12 months ago
Formal Parametric Polymorphism
A polymorphic function is parametric if its behavior does not depend on the type at which it is instantiated. Starting with Reynolds's work, the study of parametricity is typ...
Martín Abadi, Luca Cardelli, Pierre-Louis C...
COMBINATORICS
2007
67views more  COMBINATORICS 2007»
13 years 7 months ago
Non-Commutative Sylvester's Determinantal Identity
Sylvester’s identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several non-commutative extensions, an...
Matjaz Konvalinka
IGPL
2008
124views more  IGPL 2008»
13 years 7 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
PLDI
2011
ACM
12 years 10 months ago
Separation logic + superposition calculus = heap theorem prover
Program analysis and verification tools crucially depend on the ability to symbolically describe and reason about sets of program behaviors. Separation logic provides a promising...
Juan Antonio Navarro Pérez, Andrey Rybalche...
MKM
2004
Springer
14 years 1 months ago
Predicate Logic with Sequence Variables and Sequence Function Symbols
We describe an extension of first-order logic with sequence variables and sequence functions. We define syntax, semantics and inference system for the extension so that Completen...
Temur Kutsia, Bruno Buchberger