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Polymorphic Systems with Arrays, 2-Counter Machines and Multiset Rewriting
Author(s) -
Ranko Lazić,
Tom Newcomb,
Bill Roscoe
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.2005.02.064
Subject(s) - decidability , nondeterministic algorithm , type (biology) , signature (topology) , rewriting , class (philosophy) , multiset , mathematics , state (computer science) , computer science , discrete mathematics , theoretical computer science , algorithm , programming language , artificial intelligence , ecology , geometry , biology
Polymorphic systems with arrays (PSAs) is a general class of nondeterministic reactive systems. A PSA is polymorphic in the sense that it depends on a signature, which consists of a number of type variables, and a number of symbols whose types can be built from the type variables. Some of the state variables of a PSA can be arrays, which are functions from one type to another. We present several new decidability and undecidability results for parameterised control-state reacha- bility problems on subclasses of PSAs

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