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» A First-order Logic for String Diagrams
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APAL
2008
92views more  APAL 2008»
14 years 11 months ago
The complexity of random ordered structures
We show that for random bit strings, Up(n), with probability, p = 1 2 , the firstorder quantifier depth D(Up(n)) needed to distinguish non-isomorphic structures is (lg lg n), with...
Joel H. Spencer, Katherine St. John
IANDC
2007
111views more  IANDC 2007»
14 years 11 months ago
Expressiveness and complexity of graph logic
We investigate the complexity and expressive power of a spatial logic for reasoning about graphs. This logic was previously introduced by Cardelli, Gardner and Ghelli, and provide...
Anuj Dawar, Philippa Gardner, Giorgio Ghelli
CORR
2010
Springer
137views Education» more  CORR 2010»
14 years 11 months ago
Open Graphs and Monoidal Theories
String diagrams are a powerful tool for reasoning about physical processes, logic circuits, tensor networks, and many other compositional structures. The distinguishing feature of...
Lucas Dixon, Aleks Kissinger
JSS
2010
132views more  JSS 2010»
14 years 5 months ago
Formal specification of the variants and behavioural features of design patterns
The formal specification of design patterns is widely recognized as being vital to their effective and correct use in software development. It can clarify the concepts underlying ...
Ian Bayley, Hong Zhu
69
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ARITH
1999
IEEE
15 years 3 months ago
A Comparison of Three Rounding Algorithms for IEEE Floating-Point Multiplication
A new IEEE compliant floating-point rounding algorithm for computing the rounded product from a carry-save representation of the product is presented. The new rounding algorithm i...
Guy Even, Peter-Michael Seidel