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» On Modal Logics of Partial Recursive Functions
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BIRTHDAY
2007
Springer
13 years 10 months ago
Linear Recursive Functions
Abstract. With the recent trend of analysing the process of computation through the linear logic looking glass, it is well understood that the ability to copy and erase data is ess...
Sandra Alves, Maribel Fernández, Már...
TLCA
2007
Springer
13 years 10 months ago
Computation by Prophecy
We describe a new method to represent (partial) recursive functions in type theory. For every recursive definition, we define a co-inductive type of prophecies that characterises...
Ana Bove, Venanzio Capretta
TYPES
2000
Springer
13 years 7 months ago
Executing Higher Order Logic
We report on the design of a prototyping component for the theorem prover Isabelle/HOL. Specifications consisting of datatypes, recursive functions and inductive definitions are co...
Stefan Berghofer, Tobias Nipkow
ITP
2010
156views Mathematics» more  ITP 2010»
13 years 8 months ago
The Optimal Fixed Point Combinator
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
Arthur Charguéraud
POPL
2010
ACM
14 years 1 months ago
A Relational Modal Logic for Higher-Order Stateful ADTs
The method of logical relations is a classic technique for proving the equivalence of higher-order programs that implement the same observable behavior but employ different intern...
Derek Dreyer, Georg Neis, Andreas Rossberg, Lars B...