Archive for Mathematical Logic - Publishes research papers and occasionally surveys or expositions on mathematical logic. Tables of contents from vol.34 (1995) on. Full text to subscribers.
Journal of Automated Reasoning - Interdisciplinary Journal covering theory, implementation and application. Online archive and full text for subscribers.
Journal of Logic, Language and Information - Explores the foundations of natural, formal, and programming languages, as well as the different forms of human and mechanized inference. It covers the logical, linguistic, and information-theoretic parts of the cognitive sciences. Free tables of contents and abstracts. Full text to subscribers.
Journal of Mathematical Logic - World Scientific. Contents and abstracts of all issues; full text to institutional subscribers.
Journal of Philosophical Logic - Journal devoted to philosophical applications of logic, and the philosophical underpinnings of logic. Sample copy and an archive of tables of contents.
Logic Journal of the IGPL - (OUP) Official publication of the Interest Group in Pure and Applied Logic.
Mathematical Logic Quarterly - Formerly Zeitschrift für Mathematische Logik und Grundlagen der Mathematik. Publisher's site. Table of contents from 2000. Full text to subscribers.