Actors and Logical Analysis of Interactive Systems
Author(s) -
Ian A. Mason,
Carolyn Talcott
Publication year - 2005
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2005.05.019
Subject(s) - recursion (computer science) , computer science , computability theory , logical framework , theoretical computer science , theory of computation , set (abstract data type) , semantics (computer science) , computation , turing , type theory , theory , programming language , algorithm , type (biology) , ecology , biology
Formalization in a logical theory can contribute to the foundational understanding of interactive systems in two ways. One is to provide language and principles for specification of and reasoning about such systems. The other is to better understand the distinction between sequential (turing equivalent) computation and interactive computation using techniques and results from recursion theory and proof theory. In this paper we briefly review the notion of interaction semantics for actor systems, and report on work in progress to formalize this interaction model. In particular we have shown that the set theoretic models of the formal interaction theory have greater recursion theoretic complexity than analogous models of theories of sequential computation, using a well-known result from recursion theory
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