Title :
Strong normalisation in the π-calculus
Author :
Yoshida, Nobuko ; Berger, Martin ; Honda, Kohei
Author_Institution :
Dept. of Math. & Comput. Sci., Leicester Univ., UK
Abstract :
Introduces a typed π-calculus where strong normalisation is ensured by typability. Strong normalisation is a useful property in many computational contexts, including distributed systems. In spite of its simplicity, our type discipline captures a wide class of converging name-passing interactive behaviours. The proof of strong normalisability combines methods from typed λ-calculi and linear logic with process-theoretic reasoning. It is adaptable to systems involving state and other extensions. Strong normalisation is shown to have significant consequences, including finite axiomatisation of weak bisimilarity, a fully abstract embedding of the simply-typed λ-calculus with products and sums and basic liveness in interaction. Strong normalisability has been extensively studied as a fundamental property in functional calculi, term rewriting and logical systems. This work is one of the first steps to extend theories and proof methods for strong normalisability to the context of name-passing processes
Keywords :
bisimulation equivalence; interactive systems; message passing; pi calculus; type theory; abstract embedding; converging name-passing interactive behaviour; distributed systems; finite axiomatisation; functional calculi; linear logic; liveness; logical systems; process-theoretic reasoning; products; proof methods; state extensions; strong normalisation; sums; term rewriting; typability; typed λ-calculi; typed π-calculus; weak bisimilarity; Calculus; Computer languages; Computer science; Context; Distributed computing; Embedded computing; Functional programming; Logic; Mathematics; Tin;
Conference_Titel :
Logic in Computer Science, 2001. Proceedings. 16th Annual IEEE Symposium on
Conference_Location :
Boston, MA
Print_ISBN :
0-7695-1281-X
DOI :
10.1109/LICS.2001.932507