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ICALT
2008
IEEE
15 years 4 months ago
A Learning Environment for Promoting Structured Algebraic Thinking in Children
Although the notion of generality is central in mathematics and science, being able to identify and express general patterns and/or articulating structures is one of the main dif...
Sergio Gutiérrez Santos, Manolis Mavrikis, ...
CIE
2005
Springer
15 years 3 months ago
A Network Model of Analogue Computation over Metric Algebras
Abstract. We define a general concept of a network of analogue modules connected by channels, processing data from a metric space A, and operating with respect to a global continu...
J. V. Tucker, Jeffery I. Zucker
MFCS
2005
Springer
15 years 3 months ago
Inverse Monoids: Decidability and Complexity of Algebraic Questions
This paper investigates the word problem for inverse monoids generated by a set Γ subject to relations of the form e = f, where e and f are both idempotents in the free inverse m...
Markus Lohrey, Nicole Ondrusch
ICALP
2001
Springer
15 years 2 months ago
An Axiomatic Approach to Metareasoning on Nominal Algebras in HOAS
We present a logical framework Υ for reasoning on a very general class of languages featuring binding operators, called nominal , presented in higher-order abstract syntax (HOAS)....
Furio Honsell, Marino Miculan, Ivan Scagnetto
CADE
2007
Springer
15 years 10 months ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...
Viktor Kuncak, Martin C. Rinard