What Else Is Decidable about Integer Arrays? Peter Habermehl, Radu Iosif, Tomáš Vojnar To cite this version: Peter Habermehl, Radu Iosif, Tomáš Vojnar. What Else Is Decidable about Integer Arrays?. Foun- dations of Software Science and Computational Structures, 11th International Conference, FOSSACS 2008, Mar 2008, Budapest, Hungary. 10.1007/978-3-540-78499-9_33. hal-01418914 HAL Id: hal-01418914 https://hal.archives-ouvertes.fr/hal-01418914 Submitted on 17 Dec 2016 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. What else is decidable about integer arrays? Peter Habermehl1, Radu Iosif2, and Tom´aˇsVojnar3 1 LSV, ENS Cachan, CNRS, INRIA; 61 av. du Pr´esident Wilson, F-94230 Cachan, France, e-mail:
[email protected] 2 VERIMAG,CNRS, 2 av. de Vignate, F-38610 Gi`eres, France, e-mail:
[email protected] 3 FIT BUT, Boˇzetˇechova 2, CZ-61266, Brno, Czech Republic, e-mail:
[email protected] Abstract. We introduce a new decidable logic for reasoning about infinite arrays of integers. The logic is in the ∃∗∀∗ first-order fragment and allows (1) Presburger constraints on existentially quantified variables, (2) difference constraints as well as periodicity constraints on universally quantified indices, and (3) difference constraints on values.