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  • This paper describes an effective verification procedure for imperative programs that handle (balanced) tree-like data structures. Since the verification problem considered is undecidable, we appeal to a classical semi-algorithmic approach in which the user has to provide manually the loop invariants in order to check the validity of Hoare triples of the form {P}C{Q}, where P, Q are the sets of states corresponding to the pre- and post-conditions, and C is the program to be verified. We specify the sets of states (representing tree-like memory configurations) using&nbsp; a special class of tree automata named Tree Automata with Size Constraints (TASC). The main advantage of using TASC in program specifications is that they recognize non-regular sets of tree languages such as the <i>AVL trees</i>, the&nbsp; <i>red-black trees</i>, and in general, specifications involving arithmetic reasoning about the lengths (depths) of various (possibly all) paths in the tree. The class of TASC is closed under the op
  • This paper describes an effective verification procedure for imperative programs that handle (balanced) tree-like data structures. Since the verification problem considered is undecidable, we appeal to a classical semi-algorithmic approach in which the user has to provide manually the loop invariants in order to check the validity of Hoare triples of the form {P}C{Q}, where P, Q are the sets of states corresponding to the pre- and post-conditions, and C is the program to be verified. We specify the sets of states (representing tree-like memory configurations) using&nbsp; a special class of tree automata named Tree Automata with Size Constraints (TASC). The main advantage of using TASC in program specifications is that they recognize non-regular sets of tree languages such as the <i>AVL trees</i>, the&nbsp; <i>red-black trees</i>, and in general, specifications involving arithmetic reasoning about the lengths (depths) of various (possibly all) paths in the tree. The class of TASC is closed under the op (en)
Title
  • Automata-based Verification of Programs with Tree Updates
  • Automata-based Verification of Programs with Tree Updates (en)
skos:prefLabel
  • Automata-based Verification of Programs with Tree Updates
  • Automata-based Verification of Programs with Tree Updates (en)
skos:notation
  • RIV/00216305:26230/06:PU66868!RIV10-GA0-26230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/04/0780), P(GP102/03/D211)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 466375
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26230/06:PU66868
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Formal verification, symbolic verification, programs handling balanced trees, theory of automata.<br> (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [ABB3B51D3090]
http://linked.open...v/mistoKonaniAkce
  • Vienna
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Tools and Algorithms for the Construction and Analysis of Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Vojnar, Tomáš
  • Habermehl, Peter
  • Radu, Iosif
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-540-33056-1
http://localhost/t...ganizacniJednotka
  • 26230
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