Title
On Solving Nominal Fixpoint Equations.
Abstract
In nominal syntax, variable binding is specified using atom-abstraction constructors, and alpha-equivalence is formalised using freshness constraints and atom swappings, which implement variable renamings. Composition of swappings gives rise to atom permutations. Algorithms to check equivalence, match and unify nominal terms have been extended to deal with terms where some operators are associative and/or commutative. In the case of nominal C-unification, problems are transformed into finite and complete families of fixpoint equations of the form pi.X approximate to(?) X, where pi is a permutation. To generate nominal C-unifiers, a technique to obtain a sound and complete set of solutions for these equations is needed. In this work we show how complete sets of solutions for nominal fixpoint problems are built and discuss efficient techniques to generate solutions based on algebraic properties of permutations.
Year
DOI
Venue
2017
10.1007/978-3-319-66167-4_12
Lecture Notes in Artificial Intelligence
Field
DocType
Volume
Discrete mathematics,Associative property,Of the form,Commutative property,Computer science,Permutation,Nominal terms,Equivalence (measure theory),Operator (computer programming),Fixed point
Conference
10483
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
4
4