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FM
2001
Springer
130views Formal Methods» more  FM 2001»
13 years 12 months ago
Towards a Topos Theoretic Foundation for the Irish School of Constructive Mathematics
The Irish School of Constructive Mathematics (M♣ c ), which extends the VDM, exploits an algebraic notation based upon monoids and their morphisms for the purposes of abstract mo...
Mícheál Mac an Airchinnigh
KR
2004
Springer
14 years 25 days ago
Historical Remarks on Nonmonotonic Reasoning, Especially Circumscription
Humans have always done nonmonotonic reasoning, but rigorous monotonic reasoning in reaching given conclusions has been deservedly more respected and admired. Euclid contains the ...
John McCarthy
IWFM
1998
125views Formal Methods» more  IWFM 1998»
13 years 8 months ago
Mathematics for Formal Methods, a Proposal for Education Reform
It is widely recognized that there is a body of mathematics which is crucial to the underpinning of computer science, software engineering, and information and communications tech...
Mícheál Mac an Airchinnigh
CIE
2007
Springer
14 years 1 months ago
RZ: A Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice
Realizability theory is not just a fundamental tool in logic and computability. It also has direct application to the design and implementation of programs, since it can produce co...
Andrej Bauer, Christopher A. Stone
EUSFLAT
2009
164views Fuzzy Logic» more  EUSFLAT 2009»
13 years 5 months ago
60 years "A Mathematical Theory of Communication" - Towards a "Fuzzy Information Theory"
Abstract--When 60 years ago Shannon established "A Mathematical Theory of Communication" nobody could know the consequences for science and technology in the second half ...
Rudolf Seising