Decidable Fragments of a Higher Order Calculus with Locations
Author(s) -
Mikkel Bundgaard,
Jens Chr. Godskesen,
Bjørn Haagensen,
Hans Hüttel
Publication year - 2009
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.2009.06.016
Subject(s) - undecidable problem , decidability , process calculus , reachability , pi calculus , property (philosophy) , mathematics , bounding overwatch , calculus (dental) , fragment (logic) , reachability problem , first order , discrete mathematics , computer science , algebra over a field , algorithm , pure mathematics , theoretical computer science , artificial intelligence , medicine , philosophy , epistemology , dentistry
Homer is a higher order process calculus with locations. In this paper we study Homer in the setting of the semantic finite control property, which is a finite reachability criterion that implies decidability of barbed bisimilarity. We show that strong and weak barbed bisimilarity are undecidable for Homer. We then identify and compare two distinct subcalculi of Homer that both satisfy the semantic finite control property. One subcalculus is obtained by using a type system bounding the size of process terms. The other subcalculus is obtained by considering the image of the encoding of the finite control @p-calculus in Homer.
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