eCommons

 

Generating event logics with higher-order processes as realizers

Other Titles

Abstract

Our topic is broadening a practical ”proofs-as-programs” method of program development to “proofs-as-processes”. We extend our previous results that implement proofs-as-processes for the standard model of asynchronous message passing computation to a much wider class of process models including the ¼-calculus and other process algebras. Our first result is a general process model whose definition in type theory is interesting in itself both technically and foundationally. Process terms are type free lambda-terms. Typed processes are elements of a co-inductive type. They are higher-order in that they can take processes as inputs and produce them as outputs. A second new result is a procedure to generate event structures over the general process model and then define event logics and event classes over these structures. Processes are abstract realizers for assertions in the event logics over them, and they extend the class of primitively realizable propositions built on the propositions-as-types principle. They also provide a basis for the third new result, showing when programmable event classes generate strong realizers that prevent logical interference as processes are synthesized.

Journal / Series

Volume & Issue

Description

Sponsorship

Date Issued

2011-08-25

Publisher

Keywords

logic; type theory

Location

Effective Date

Expiration Date

Sector

Employer

Union

Union Local

NAICS

Number of Workers

Committee Chair

Committee Co-Chair

Committee Member

Degree Discipline

Degree Name

Degree Level

Related Version

Related DOI

Related To

Related Part

Based on Related Item

Has Other Format(s)

Part of Related Item

Related To

Related Publication(s)

Link(s) to Related Publication(s)

References

Link(s) to Reference(s)

Previously Published As

Government Document

ISBN

ISMN

ISSN

Other Identifiers

Rights

Rights URI

Types

technical report

Accessibility Feature

Accessibility Hazard

Accessibility Summary

Link(s) to Catalog Record