Strong Normalization in the π-calculus with Intersection and Union Types

2012 ◽  
Vol 121 (1-4) ◽  
pp. 227-252 ◽  
Author(s):  
Mauro Piccolo
Keyword(s):  
Strong Normalization ◽  
Π Calculus

scholarly journals On Polymorphic Sessions and Functions

2021 ◽  
Vol 43 (2) ◽  
pp. 1-55
Author(s):  
Bernardo Toninho ◽  
Nobuko Yoshida
Keyword(s):  
Natural Deduction ◽  
Sequent Calculus ◽  
Linear Logic ◽  
Linear Formulation ◽  
Session Types ◽  
Logical Foundation ◽  
Π Calculus ◽  
Soundness And Completeness ◽  
System F ◽  
Algebraic Representations

This work exploits the logical foundation of session types to determine what kind of type discipline for the Λ-calculus can exactly capture, and is captured by, Λ-calculus behaviours. Leveraging the proof theoretic content of the soundness and completeness of sequent calculus and natural deduction presentations of linear logic, we develop the first mutually inverse and fully abstract processes-as-functions and functions-as-processes encodings between a polymorphic session π-calculus and a linear formulation of System F. We are then able to derive results of the session calculus from the theory of the Λ-calculus: (1) we obtain a characterisation of inductive and coinductive session types via their algebraic representations in System F; and (2) we extend our results to account for value and process passing, entailing strong normalisation.

Symbolic transition graph and its early bisimulation checking algorithms for the π-calculus

1999 ◽  
Vol 42 (4) ◽  
pp. 342-353 ◽  
Author(s):  
Zhoujun Li ◽  
Huowang Chen ◽  
Bingshan Wang
Keyword(s):  
Transition Graph ◽  
Π Calculus

scholarly journals Weak normalization implies strong normalization in a class of non-dependent pure type systems

2001 ◽  
Vol 269 (1-2) ◽  
pp. 317-361 ◽  
Author(s):  
Gilles Barthe ◽  
John Hatcliff ◽  
Morten Heine Sørensen
Keyword(s):  
Type Systems ◽  
Strong Normalization ◽  
Pure Type ◽  
Pure Type Systems

Petri nets semantics of π-calculus

2008 ◽  
Vol 3 (3) ◽  
pp. 290-294
Author(s):  
Zhenhua Yu ◽  
Yuanli Cai ◽  
Haiping Xu
Keyword(s):  
Petri Nets ◽  
Π Calculus
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