Higher order anomaly consistency conditions: renormalization and non-locality

An anomaly of non-locality

Higher-Order Proof by Consistency

We investigate an integration of the rst order method of proof by consistency PBC also known as term rewriting induction into theorem proving in higher order speci cations PBC may be seen as well founded in duction over an ordering which contains the rewrite relation and in this paper we extend this method to the higher order rewrite relation due to Nipkow This yields a proof procedure which ha...

Renormalization methods for higher order differential equations

We adapt methodology of statistical mechanics and quantum field theory to approximate solutions to an arbitrary order ordinary differential equation boundary value problem by a second-order equation. In particular, we study equations involving the derivative of a double-well potential such as u− u3 or − u + 2u3. Using momentum (Fourier) space variables we average over short length scales and de...

Extending STR to a Higher-Order Consistency

One of the most widely studied classes of constraints in constraint programming (CP) is that of table constraints. Numerous specialized filtering algorithms, enforcing the wellknown property called generalized arc consistency (GAC), have been developed for such constraints. Among the most successful GAC algorithms for table constraints, we find variants of simple tabular reduction (STR), like S...

Subtyping and Locality in Distributed Higher Order Processes

This paper studies one important aspect of distributed systems, locality, using a calculus of distributed higher-order processes in which not only basic values or channels, but also parameterised processes are transferred across distinct locations. An integration of the subtyping of λ-calculus and IO-subtyping of the π-calculus offers a tractable tool to control the locality of channel names in...