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» Formalizing Mirror Theory
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TLCA
2009
Springer
16 years 1 months ago
Lexicographic Path Induction
Abstract. Programming languages theory is full of problems that reduce to proving the consistency of a logic, such as the normalization of typed lambda-calculi, the decidability of...
Jeffrey Sarnat, Carsten Schürmann
IFM
2007
Springer
16 years 21 days ago
Qualitative Probabilistic Modelling in Event-B
Abstract. Event-B is a notation and method for discrete systems modelling by refinement. We introduce a small but very useful construction: qualitative probabilistic choice. It ex...
Stefan Hallerstede, Thai Son Hoang
CSL
2005
Springer
16 years 3 days ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
KR
2004
Springer
15 years 12 months ago
A Causal Logic of Logic Programming
The causal logic from (Bochman 2003b) is shown to provide a natural logical basis for logic programming. More exactly, it is argued that any logic program can be seen as a causal ...
Alexander Bochman
KR
2004
Springer
15 years 12 months ago
Knowledge Discovery by Reversing Inductive Knowledge Representation
In a very basic sense, the aim of knowledge discovery is to reveal structures of knowledge which can be seen as being represented by structural relationships. In this paper, we ma...
Gabriele Kern-Isberner, Jens Fisseler