%0 Conference Proceedings %T Tropical Two-Way Automata %+ Laboratoire d'Informatique Gaspard-Monge (LIGM) %+ Laboratoire Bordelais de Recherche en Informatique (LaBRI) %A Carnino, Vincent %A Lombardy, Sylvain %Z Part 2: Track B: Logic, Semantics, Specification and Verification %< avec comité de lecture %( Lecture Notes in Computer Science %B 8th IFIP International Conference on Theoretical Computer Science (TCS) %C Rome, Italy %Y Josep Diaz %Y Ivan Lanese %Y Davide Sangiorgi %I Springer %3 Theoretical Computer Science %V LNCS-8705 %P 195-206 %8 2014-09-01 %D 2014 %R 10.1007/978-3-662-44602-7_16 %K Two-way automata %K Weighted automata %K Tropical semiring %Z Computer Science [cs]/Discrete Mathematics [cs.DM]Conference papers %X In this paper we study two-way min-plus automata. We prove that two-way distance automata are equivalent to one-way distance automata. In the second part of the paper we show that, with general min-plus semirings, it is decidable whether every accepted word has a finite weight and that, in contrast, it is undecidable whether there exists a word accepted with a finite weight. %G English %Z TC 1 %Z TC 2 %Z WG 2.2 %2 https://hal.science/hal-01069637/document %2 https://hal.science/hal-01069637/file/minplus-pub.pdf %L hal-01069637 %U https://hal.science/hal-01069637 %~ ENPC %~ CNRS %~ INSMI %~ PARISTECH %~ LIGM %~ CV_LIGM %~ LIGM_MOA %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG %~ TDS-MACS %~ IFIP-TC2 %~ IFIP-LNCS-8705 %~ IFIP-TCS %~ IFIP-WG2-2 %~ ESIEE-PARIS %~ UNIV-EIFFEL %~ UPEM-UNIVEIFFEL %~ ESIEE-UNIVEIFFEL %~ TEST3-HALCNRS %~ LIGM_BAAM