Computer Science Logic

This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects. Applications to issues in logic and computer science such as completeness, computability and complexity are considered.

The study of the connections between mathematical automata and for­ mal logic is as old as theoretical computer science itself.

Recent years have seen the development of powerful tools for verifying hardware and software systems, and increasing interest in that technology from major companies. Students need a basic formal training which allows them to gain sufficient proficiency in using logic-based verification methods. This book addresses these needs by providing a sound basis in logic, and an introduction to the logical frameworks used in modelling, specifying and verifying computer systems. It provides a simple and clear presentation, covering propositional and predicate logic, and some specialised logics used for reasoning about the correctness of computer systems. The authors introduce a carefully chosen core of essential terminology: further technicalities are introduced only when necessary. Numerous examples are given, as well as a full exposition of a fast-growing technique for modelling and verifying computer systems, known as symbolic model checking.

This book collects the refereed proceedings of the 7th Indian Conference on Logic and Its Applications, ICLA 2017, held in Mumbai, India, in January 2017. The volume contains 13 full revised papers along with 4 invited talks presented at the conference.